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Question 8601Question

Match each nitrogen oxide or nitrogen cycle component in Column I with its correct physical property or biological role in Column II.

Click a left item, then click its matching right item

Items

Dinitrogen monoxide (N2ON_2O)
Nitrogen dioxide (NO2NO_2)
Nitrosomonas bacteria
Nitrobacter bacteria

Matches

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Answer

Dinitrogen monoxide (N2ON_2O) matches with 'A sweet-smelling, neutral gas that relights a glowing splint'. Nitrogen dioxide (NO2NO_2) matches with 'A reddish-brown, acidic gas that dissolves in water to form a mixture of two acids'. Nitrosomonas bacteria matches with 'Converts soil ammonium ions (NH4+NH_4^+) into trioxonitrate(III) ions (NO2NO_2^-)'. Nitrobacter bacteria matches with 'Converts soil trioxonitrate(III) ions (NO2NO_2^-) into trioxonitrate(V) ions (NO3NO_3^-)'.
Each nitrogen oxide and nitrifying bacterium is correctly associated with its characteristic chemical behavior or distinct biochemical pathway in the nitrogen cycle.

Step-by-Step Solution

1
Differentiate between the physical and chemical properties of the nitrogen oxides.
N2ON_2O is neutral and sweet-smelling while supporting combustion. NO2NO_2 is acidic, reddish-brown, and forms HNO2HNO_2 and HNO3HNO_3 upon reaction with water.
Oxides of nitrogen vary in color, acidity, and combustion-supporting capabilities depending on the oxidation state of nitrogen.
2
Differentiate the roles of nitrifying bacteria in the nitrogen cycle.
Nitrosomonas oxidizes ammonium to nitrite (NO2NO_2^-), whereas Nitrobacter oxidizes nitrite (NO2NO_2^-) to nitrate (NO3NO_3^-).
Nitrification proceeds in two distinct enzymatic steps mediated by specialized microbial species.

Key Concept

Properties of Nitrogen Oxides and Biological Nitrification Stages
Question 8602Question

In a monohybrid cross between two heterozygous green-pod pea plants (GgGg), Mendel's Law of Segregation predicts that 75%75\% of the F2F_2 offspring will possess the heterozygous (GgGg) genotype.

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Answer: False

Answer

False
The statement is false because a monohybrid cross of two heterozygous individuals (Gg×GgGg \times Gg) yields a genotypic ratio of 1 GG:2 Gg:1 gg1\ GG : 2\ Gg : 1\ gg. Exactly 50%50\% (22 out of 44) of the F2F_2 offspring inherit the heterozygous genotype (GgGg). The claimed 75%75\% proportion applies to the dominant phenotype, improperly interchanging genotypic composition with phenotypic expression.

Step-by-Step Solution

1
Identify parental genotypes and apply Mendel's First Law
Both parents are heterozygous (Gg×GgGg \times Gg). During gamete formation, alleles segregate so each gamete receives either GG or gg with equal probability (50%50\%).
Mendel's Law of Segregation states that allele pairs separate during gametogenesis.
2
Determine expected offspring genotypic proportions
Random combination of gametes yields 1/4 GG1/4\ GG, 2/4 Gg2/4\ Gg, and 1/4 gg1/4\ gg. The genotypic ratio is 1:2:11 : 2 : 1.
A standard Punnett square for a monohybrid cross combines GG and gg alleles from both parents.
3
Evaluate the statement's genotypic percentage claim
The heterozygous (GgGg) fraction is 2/42/4, which equals 50%50\%. The 75%75\% value corresponds to the dominant phenotype (GG+Gg=25%+50%=75%GG + Gg = 25\% + 50\% = 75\%).
The statement incorrectly equates the dominant phenotypic percentage (75%75\%) with the heterozygous genotypic percentage (50%50\%).

Key Concept

Mendel's Law of Segregation and Monohybrid Genotypic vs Phenotypic Ratios
Estimated Time:1m 30s
Question 8603Question

A biology student investigating edaphic factors collected 100 cm3100\text{ cm}^3 of an undisturbed garden soil sample in a graduated cylinder and added 100 cm3100\text{ cm}^3 of water. After stirring thoroughly and allowing all trapped air bubbles to escape, the final settled volume of the soil-water mixture measured 160 cm3160\text{ cm}^3. What is the percentage porosity of this soil sample?

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Answer: 40%40\%

Answer

The percentage porosity of the garden soil sample is 40%40\%.
Soil porosity represents the percentage of pore space (voids filled with air or water) within a given volume of soil. When 100 cm3100\text{ cm}^3 of water is added to 100 cm3100\text{ cm}^3 of dry soil, the expected combined volume without pores would be 200 cm3200\text{ cm}^3. The actual mixture volume of 160 cm3160\text{ cm}^3 indicates that 40 cm340\text{ cm}^3 of air was displaced by water. Expressed as a percentage of the original 100 cm3100\text{ cm}^3 soil volume, the porosity is 40 cm3100 cm3×100%=40%\frac{40\text{ cm}^3}{100\text{ cm}^3} \times 100\% = 40\%.

Step-by-Step Solution

1
Calculate the theoretical total volume if no air spaces were present.
Theoretical volume = Volume of soil+Volume of water=100 cm3+100 cm3=200 cm3\text{Volume of soil} + \text{Volume of water} = 100\text{ cm}^3 + 100\text{ cm}^3 = 200\text{ cm}^3.
Water fills the pore spaces previously occupied by air in the soil sample.
2
Determine the volume of air spaces (pores) in the soil sample.
Volume of air spaces = Theoretical volumeActual mixture volume=200 cm3160 cm3=40 cm3\text{Theoretical volume} - \text{Actual mixture volume} = 200\text{ cm}^3 - 160\text{ cm}^3 = 40\text{ cm}^3.
The reduction in expected total volume corresponds directly to the volume of displaced air.
3
Calculate the percentage porosity using the ratio of pore space volume to initial soil volume.
Percentage Porosity=(Volume of air spacesInitial volume of soil)×100%=(40 cm3100 cm3)×100%=40%\text{Percentage Porosity} = \left(\frac{\text{Volume of air spaces}}{\text{Initial volume of soil}}\right) \times 100\% = \left(\frac{40\text{ cm}^3}{100\text{ cm}^3}\right) \times 100\% = 40\%.
Porosity measures the percentage of total soil volume occupied by pore spaces.

Key Concept

Soil Porosity Measurement (Edaphic Factor Analysis)
Question 8604Question

A marine biologist analyzed the ecological structure of a coastal reef ecosystem and categorized its functional components into four groups:

ComponentDescription
PUnicellular phytoplankton performing carbon fixation in the photic zone
QZooplankton and small herbivorous fish feeding on phytoplankton
RPredatory fish consuming herbivorous aquatic organisms
SBenthic bacteria and fungi decomposing organic fallout

During a seasonal survey, the standing crop biomass of component Q was recorded to be higher than that of component P. Which statement correctly evaluates the structural dynamics and thermodynamic principles of this ecosystem?

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Answer: The ecosystem remains energetically stable because phytoplankton have a rapid turnover rate and high productivity, ensuring that the pyramid of energy remains upright despite an inverted biomass snapshot.

Answer

The ecosystem remains energetically stable because phytoplankton have a rapid turnover rate and high productivity, ensuring that the pyramid of energy remains upright despite an inverted biomass snapshot.
In aquatic ecosystems, primary producers (phytoplankton) have a very high rate of reproduction and turnover. Even though their instantaneous standing crop biomass is lower than that of primary consumers (zooplankton), their cumulative rate of primary production supplies ample energy to sustain the consumer population. Thus, the pyramid of biomass appears inverted, while the pyramid of energy remains strictly upright and unidirectional.

Step-by-Step Solution

1
Analyze the functional roles of ecosystem components P, Q, R, and S.
P is the primary producer, Q is the primary consumer, R is the secondary consumer, and S represents the decomposers.
Establishing trophic roles is required to evaluate energy flow and biomass relationships.
2
Evaluate the relationship between standing crop biomass and energy flow in marine ecosystems.
Phytoplankton (P) reproduce and are consumed extremely rapidly. Although their standing crop biomass at any instant is small relative to zooplankton (Q), their total energy production over time is much larger.
Pyramids of standing crop biomass in aquatic systems can be inverted, but pyramids of energy are always upright due to the Second Law of Thermodynamics.
3
Identify the correct physical law governing energy pyramids.
Energy transfer is strictly unidirectional and decreases at successive trophic levels due to metabolic heat loss.
An inverted energy pyramid would violate fundamental laws of thermodynamics.

Key Concept

Standing crop biomass vs. energy flow in ecosystem structure
Question 8605Question

The table below shows the solubility of potassium trioxonitrate(V), KNO3\text{KNO}_3, in water at two different temperatures:

Temperature (C^\circ\text{C})Solubility (g / 100 g H2O\text{g / } 100\text{ g } \text{H}_2\text{O})
60110.0
2032.0

What mass of KNO3\text{KNO}_3 will deposit when 420.0 g420.0\text{ g} of a saturated solution of KNO3\text{KNO}_3 at 60C60^\circ\text{C} is cooled to 20C20^\circ\text{C}?

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Answer: 156.0 g156.0\text{ g}

Answer

156.0 g156.0\text{ g}
At 60C60^\circ\text{C}, every 210.0 g210.0\text{ g} of saturated solution contains 100.0 g100.0\text{ g} of water and 110.0 g110.0\text{ g} of solute. Thus, 420.0 g420.0\text{ g} of solution contains 200.0 g200.0\text{ g} of water and 220.0 g220.0\text{ g} of dissolved KNO3\text{KNO}_3. Upon cooling to 20C20^\circ\text{C}, the solubility drops to 32.0 g32.0\text{ g} per 100 g100\text{ g} of water, so 200.0 g200.0\text{ g} of water can retain only 64.0 g64.0\text{ g} of solute. The excess solute that crystallizes out is 220.0 g64.0 g=156.0 g220.0\text{ g} - 64.0\text{ g} = 156.0\text{ g}.

Step-by-Step Solution

1
Determine the composition of a saturated solution at 60C60^\circ\text{C}
At 60C60^\circ\text{C}, 100.0 g100.0\text{ g} of water dissolves 110.0 g110.0\text{ g} of KNO3\text{KNO}_3, yielding 100.0+110.0=210.0 g100.0 + 110.0 = 210.0\text{ g} of saturated solution.
Solubility is expressed per 100 g100\text{ g} of water, so total solution mass is the sum of solvent and solute masses.
2
Calculate the mass of water and solute in 420.0 g420.0\text{ g} of saturated solution at 60C60^\circ\text{C}
Mass of water = 420.0×100.0210.0=200.0 g420.0 \times \frac{100.0}{210.0} = 200.0\text{ g}. Mass of KNO3\text{KNO}_3 = 420.0×110.0210.0=220.0 g420.0 \times \frac{110.0}{210.0} = 220.0\text{ g}.
Scaling the ratio of components to the given solution mass.
3
Calculate the mass of solute remaining dissolved at 20C20^\circ\text{C}
At 20C20^\circ\text{C}, 100.0 g100.0\text{ g} of water holds 32.0 g32.0\text{ g} of KNO3\text{KNO}_3. Therefore, 200.0 g200.0\text{ g} of water holds 2×32.0=64.0 g2 \times 32.0 = 64.0\text{ g} of KNO3\text{KNO}_3.
Solubility at the lower temperature determines the maximum solute that stays in solution.
4
Calculate the mass of salt crystallized (deposited)
Mass deposited = 220.0 g64.0 g=156.0 g220.0\text{ g} - 64.0\text{ g} = 156.0\text{ g}.
Subtracting the solute remaining in solution from the initial mass of dissolved solute.

Key Concept

Solubility curves and fractional crystallization calculations
Estimated Time:1m 30s
Question 8606Question

An organic compound XX with the molecular formula C3H9NC_3H_9N reacts with cold nitrous acid (HNO2HNO_2) at 05C0-5^\circ\text{C} to produce a yellow, oily liquid without the evolution of nitrogen gas. Which of the following is the IUPAC name of compound XX?

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Answer: NN-methylethanamine

Answer

The correct compound is NN-methylethanamine because secondary aliphatic amines react with nitrous acid (HNO2HNO_2) at low temperatures to produce insoluble, yellow oily NN-nitrosamines without liberating nitrogen gas.
Secondary aliphatic amines such as NN-methylethanamine react with cold nitrous acid (HNO2HNO_2) to form NN-nitrosamines. These compounds are insoluble in water and appear as yellow oily liquids. Because no aliphatic diazonium intermediate breaks down to release gas, no nitrogen gas effervescence is observed.

Step-by-Step Solution

1
Classify the given structural isomers of C3H9NC_3H_9N by amine degree.
Propan-1-amine and propan-2-amine are primary (11^\circ) amines; NN-methylethanamine is a secondary (22^\circ) amine; N,NN,N-dimethylmethanamine is a tertiary (33^\circ) amine.
Amine classification determines the distinct reaction pathway and observable products with nitrous acid.
2
Analyze the reaction behavior of each amine class with nitrous acid (HNO2HNO_2) at 05C0-5^\circ\text{C}.
Primary amines evolve N2N_2 gas and form alcohols; secondary amines form yellow oily NN-nitrosamines without gas evolution; tertiary amines form soluble nitrite salts.
Nitrous acid is used as a qualitative reagent to distinguish between 11^\circ, 22^\circ, and 33^\circ amines.
3
Match the observation (yellow oily liquid, no nitrogen gas) to the correct compound.
The observation corresponds uniquely to a secondary amine, which is NN-methylethanamine.
Only secondary amines undergo nitrosation at the nitrogen atom to form neutral, oily NN-nitrosamine layers.

Key Concept

Distinction tests for primary, secondary, and tertiary amines using nitrous acid (HNO2HNO_2)
Question 8607Question
Excess solid carbon, C(s)\text{C}(s), is allowed to react with 1.0 mol1.0\text{ mol} of carbon dioxide gas, CO2(g)\text{CO}_2(g), in a sealed 2.0 dm32.0\text{ dm}^3 reaction vessel at a constant high temperature according to the equation:
C(s)+CO2(g)2CO(g)\text{C}(s) + \text{CO}_2(g) \rightleftharpoons 2\text{CO}(g)
If 1.0 mol1.0\text{ mol} of carbon monoxide gas, CO(g)\text{CO}(g), is present at equilibrium, calculate the numerical value of the equilibrium constant, KcK_c, in mol dm3\text{mol dm}^{-3}.
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Answer: 1

Answer

1.0
To find KcK_c, convert initial and equilibrium amounts to molar concentrations by dividing by the volume (2.0 dm32.0\text{ dm}^3). Initial concentration of CO2\text{CO}_2 is 0.50 mol dm30.50\text{ mol dm}^{-3}. At equilibrium, [CO]=1.02.0=0.50 mol dm3[\text{CO}] = \frac{1.0}{2.0} = 0.50\text{ mol dm}^{-3}. From the 1:21:2 stoichiometry, 0.25 mol dm30.25\text{ mol dm}^{-3} of CO2\text{CO}_2 reacted, leaving [CO2]=0.25 mol dm3[\text{CO}_2] = 0.25\text{ mol dm}^{-3}. For a heterogeneous system, solid carbon is excluded from the equilibrium constant expression. Thus, Kc=[CO]2[CO2]=(0.50)20.25=1.0 mol dm3K_c = \frac{[\text{CO}]^2}{[\text{CO}_2]} = \frac{(0.50)^2}{0.25} = 1.0\text{ mol dm}^{-3}.

Step-by-Step Solution

1
Calculate initial concentrations from the given moles and volume
Initial [CO2]=0.50 mol dm3[\text{CO}_2] = 0.50\text{ mol dm}^{-3}, initial [CO]=0.0 mol dm3[\text{CO}] = 0.0\text{ mol dm}^{-3}
Concentration is calculated using C=nVC = \frac{n}{V} where V=2.0 dm3V = 2.0\text{ dm}^3.
2
Determine equilibrium concentrations using stoichiometric mole ratios
Equilibrium [CO]=0.50 mol dm3[\text{CO}] = 0.50\text{ mol dm}^{-3} and [CO2]=0.25 mol dm3[\text{CO}_2] = 0.25\text{ mol dm}^{-3}
Producing 1.0 mol1.0\text{ mol} of CO\text{CO} consumes 0.50 mol0.50\text{ mol} of CO2\text{CO}_2. Remaining moles of CO2=1.00.50=0.50 mol\text{CO}_2 = 1.0 - 0.50 = 0.50\text{ mol}.
3
Write the equilibrium constant expression for the heterogeneous system
Kc=[CO]2[CO2]K_c = \frac{[\text{CO}]^2}{[\text{CO}_2]}
Pure solids like C(s)\text{C}(s) have constant activity and are omitted from the KcK_c expression.
4
Substitute concentrations into the KcK_c expression and solve
Kc=(0.50)20.25=1.0 mol dm3K_c = \frac{(0.50)^2}{0.25} = 1.0\text{ mol dm}^{-3}
Calculates the numerical value of the equilibrium constant.

Key Concept

Heterogeneous equilibrium constant expression and ICE calculations
Question 8608Question

When propanal (CH3CH2CHOCH_3CH_2CHO) is warmed with Fehling's solution, a brick-red precipitate is formed. What is the chemical formula of this precipitate, and what organic product is formed from the reaction?

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Answer: Cu2OCu_2O and propanoic acid

Answer

The precipitate formed is copper(I) oxide (Cu2OCu_2O) and the organic oxidation product is propanoic acid.
Fehling's solution contains alkaline solution of copper(II) sulfate complexed with tartrate ions. When heated with an alkanal like propanal, the aldehyde group is oxidized to a carboxylic acid (propanoic acid), while Cu2+Cu^{2+} is reduced to insoluble brick-red copper(I) oxide (Cu2OCu_2O).

Step-by-Step Solution

1
Identify the functional group and reaction type
Propanal is an alkanal containing the terminal carbonyl group (CHO-CHO). Warming with Fehling's solution causes a redox distinction test.
Alkanals act as reducing agents and readily undergo oxidation, whereas Fehling's solution contains complexed Cu2+Cu^{2+} ions.
2
Determine the inorganic reduction product (precipitate)
The deep blue Cu2+Cu^{2+} ions are reduced to copper(I) oxide (Cu2OCu_2O), which precipitates as a insoluble brick-red solid.
The reduction half-reaction is 2Cu2++2OH+2eCu2O+H2O2Cu^{2+} + 2OH^- + 2e^- → Cu_2O + H_2O.
3
Determine the organic oxidation product
Propanal (CH3CH2CHOCH_3CH_2CHO) is oxidized to propanoic acid (CH3CH2COOHCH_3CH_2COOH).
Oxidation of an alkanal inserts an oxygen atom into the CHC-H bond of the aldehyde group without altering the carbon backbone length.

Key Concept

Fehling's distinction test for alkanals and their oxidation products
Question 8609Question

Aluminium resists atmospheric corrosion better than iron because it rapidly forms a tough, non-porous coating of aluminium oxide (Al2O3Al_2O_3) that prevents oxygen and moisture from reaching the underlying metal.

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Answer: True

Answer

The statement is TRUE. Aluminium forms an adherent, non-porous protective oxide film (Al2O3Al_2O_3) upon exposure to air, which renders the metal passive and prevents further atmospheric corrosion.
The statement is true because aluminium undergoes passivation in atmospheric air, forming an impermeable, self-healing oxide film (Al2O3Al_2O_3) that insulates the underlying metal from environmental oxygen and moisture.

Step-by-Step Solution

1
Analyze the surface reactivity of aluminium exposed to atmospheric air.
Aluminium rapidly reacts with oxygen to form a thin surface layer of aluminium oxide (Al2O3Al_2O_3).
Aluminium has a high affinity for oxygen due to its electropositive nature.
2
Compare the physical properties of aluminium oxide with those of iron rust.
Unlike iron rust (Fe2O3xH2OFe_2O_3 \cdot xH_2O), which is porous, brittle, and flakes off, the Al2O3Al_2O_3 coating is continuous, tough, and impermeable.
The non-porous nature of Al2O3Al_2O_3 prevents further diffusion of oxygen and moisture to the unreacted metal underneath.

Key Concept

Metal Passivation via Protective Oxide Layer
Estimated Time:45s
Question 8610Question

In an industrial chlor-alkali membrane cell, concentrated sodium chloride solution (brine) is electrolyzed using a constant current of 19.3 A19.3\text{ A} for 50 minutes50\text{ minutes}. What is the mass, in grams, of sodium hydroxide (NaOH\text{NaOH}) produced in the solution? [Molar mass of NaOH=40.0 g mol1\text{NaOH} = 40.0\text{ g mol}^{-1}, Faraday constant F=96,500 C mol1F = 96,500\text{ C mol}^{-1}]

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Answer: 24

Answer

The mass of sodium hydroxide produced is 24.0 g24.0\text{ g}.
Converting the electrolysis time to seconds (3000 s3000\text{ s}) yields a total charge of Q=19.3 A×3000 s=57,900 CQ = 19.3\text{ A} \times 3000\text{ s} = 57,900\text{ C}. Dividing by Faraday's constant (96,500 C mol196,500\text{ C mol}^{-1}) gives 0.6 mol0.6\text{ mol} of electrons. In the chlor-alkali process, reduction of water produces 1 mol1\text{ mol} of OH\text{OH}^- ions per mole of electrons, producing 0.6 mol0.6\text{ mol} of NaOH\text{NaOH}. Multiplying by the molar mass (40.0 g mol140.0\text{ g mol}^{-1}) gives a mass of 24.0 g24.0\text{ g}.

Step-by-Step Solution

1
Convert electrolysis time into seconds and calculate total charge.
Q=19.3 A×(50×60 s)=57,900 CQ = 19.3\text{ A} \times (50 \times 60\text{ s}) = 57,900\text{ C}.
Faraday's equations require time in seconds (Q=I×tQ = I \times t).
2
Calculate the moles of electrons transferred using the Faraday constant.
n(e)=57,900 C96,500 C mol1=0.6 moln(e^-) = \frac{57,900\text{ C}}{96,500\text{ C mol}^{-1}} = 0.6\text{ mol}.
One Faraday (96,500 C96,500\text{ C}) corresponds to one mole of electrons.
3
Determine the stoichiometry of the cathode reaction.
Cathode reaction: 2H2O(l)+2eH2(g)+2OH(aq)2\text{H}_2\text{O}_{(l)} + 2e^- \rightarrow \text{H}_{2(g)} + 2\text{OH}^-_{(aq)}. Thus, 1 mol e1\text{ mol } e^- forms 1 mol OH1\text{ mol } \text{OH}^-, giving 0.6 mol0.6\text{ mol} of NaOH\text{NaOH}.
During brine electrolysis, water is preferentially reduced at the cathode, generating hydroxide ions that pair with sodium ions.
4
Calculate the mass of sodium hydroxide produced.
Mass=0.6 mol×40.0 g mol1=24.0 g\text{Mass} = 0.6\text{ mol} \times 40.0\text{ g mol}^{-1} = 24.0\text{ g}.
Mass is obtained by multiplying the number of moles by the molar mass.

Key Concept

Industrial Electrolysis Stoichiometry (Chlor-Alkali Process) and Faraday's First Law
Estimated Time:1m 30s
Question 8611Question
A 2.50 g2.50\text{ g} sample of impure iron(III) oxide, Fe2O3\text{Fe}_2\text{O}_3, was completely reduced by excess carbon(II) oxide gas to yield 1.40 g1.40\text{ g} of pure iron metal according to the equation:
Fe2O3(s)+3CO(g)2Fe(s)+3CO2(g)\text{Fe}_2\text{O}_3(s) + 3\text{CO}(g) \rightarrow 2\text{Fe}(s) + 3\text{CO}_2(g)
What is the percentage purity of the iron(III) oxide sample? [Fe=56,O=16,C=12\text{Fe} = 56, \text{O} = 16, \text{C} = 12]
Show answer & explanation

Answer: 80.0%80.0\%

Answer

The percentage purity of the iron(III) oxide sample is 80.0%.
According to the balanced chemical equation, 1 mole1\text{ mole} of Fe2O3\text{Fe}_2\text{O}_3 (160 g160\text{ g}) yields 2 moles2\text{ moles} of Fe\text{Fe} (112 g112\text{ g}). To obtain 1.40 g1.40\text{ g} of pure iron metal, the mass of pure Fe2O3\text{Fe}_2\text{O}_3 required is 1.40×160112=2.00 g1.40 \times \frac{160}{112} = 2.00\text{ g}. The percentage purity is calculated by taking the mass of pure Fe2O3\text{Fe}_2\text{O}_3 divided by the total sample mass (2.50 g2.50\text{ g}) multiplied by 100100, yielding 80.0%80.0\%.

Step-by-Step Solution

1
Calculate the molar mass of iron(III) oxide (Fe2O3\text{Fe}_2\text{O}_3) and total mass of iron produced per mole.
Molar mass of Fe2O3=2(56)+3(16)=112+48=160 g/mol\text{Fe}_2\text{O}_3 = 2(56) + 3(16) = 112 + 48 = 160\text{ g/mol}. Mass of 2 moles2\text{ moles} of Fe=2×56=112 g\text{Fe} = 2 \times 56 = 112\text{ g}.
Stoichiometry shows 1 mole1\text{ mole} of Fe2O3\text{Fe}_2\text{O}_3 (160 g160\text{ g}) produces 2 moles2\text{ moles} of Fe\text{Fe} (112 g112\text{ g}).
2
Determine the mass of pure Fe2O3\text{Fe}_2\text{O}_3 in the sample required to produce 1.40 g1.40\text{ g} of Fe\text{Fe}.
Mass of pure Fe2O3=1.40 g Fe×160 g Fe2O3112 g Fe=2.00 g\text{Mass of pure Fe}_2\text{O}_3 = 1.40\text{ g Fe} \times \frac{160\text{ g Fe}_2\text{O}_3}{112\text{ g Fe}} = 2.00\text{ g}.
Mass proportions allow determination of the mass of reacting pure compound.
3
Calculate the percentage purity of the sample.
Percentage purity=(2.00 g2.50 g)×100=80.0%\text{Percentage purity} = \left(\frac{2.00\text{ g}}{2.50\text{ g}}\right) \times 100 = 80.0\%.
Percentage purity is the ratio of pure component mass to total sample mass expressed as a percentage.

Key Concept

Determining percentage purity using stoichiometric mass calculations
Estimated Time:1m 30s
Question 8612Question

Pair each basic genetic term listed on the left with its correct biological description on the right.

Click a left item, then click its matching right item

Items

Heterozygous
Genotype
Dominant allele
Phenotype

Matches

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Answer

Heterozygous matches with possessing two non-identical alleles; Genotype matches with the specific allele composition; Dominant allele matches with an allele that masks its contrasting form; Phenotype matches with the observable physical traits.
Each genetic term matches its corresponding definition precisely: Heterozygous indicates possessing two non-identical alleles at a locus; Genotype represents the organism's specific allele composition; Dominant allele describes an allele that masks the expression of its contrasting alternative form; and Phenotype refers to the observable physical or physiological traits.

Step-by-Step Solution

1
Define Heterozygous
Heterozygous refers to having different alleles at a given gene locus.
The prefix 'hetero-' means different, indicating non-identical alleles.
2
Define Genotype
Genotype represents the internal genetic code or allele constitution.
Genotype specifies the genetic information rather than the outward appearance.
3
Define Dominant allele
A dominant allele masks the phenotypic effect of its alternative allele.
Dominance means the trait is expressed whenever at least one copy of the allele is present.
4
Define Phenotype
Phenotype represents the observable attributes and physical characteristics.
Phenotype is the external expression resulting from genotypic and environmental factors.

Key Concept

Basic Genetics Terminology and Concepts
Estimated Time:1m 0s
Question 8613Question

Match each organism or ecological role on the left with its corresponding trophic level or function in energy flow on the right.

Click a left item, then click its matching right item

Items

Green plants and phytoplankton
Herbivores such as grasshoppers
Carnivores such as frogs
Saprophytic fungi and bacteria

Matches

Show answer & explanation

Answer

Green plants and phytoplankton match with Primary producers (Trophic Level 1); Herbivores such as grasshoppers match with Primary consumers (Trophic Level 2); Carnivores such as frogs match with Secondary consumers (Trophic Level 3); Saprophytic fungi and bacteria match with Decomposers recycling organic matter.
Organisms are categorized into trophic levels based on their source of energy: photosynthetic autotrophs are primary producers (Level 1), plant-eaters are primary consumers (Level 2), animal-eaters preying on herbivores are secondary consumers (Level 3), and decay organisms recycle organic matter as decomposers.

Step-by-Step Solution

1
Identify the energy-capturing organisms in an ecosystem.
Green plants and phytoplankton capture solar energy to synthesize food, placing them at Trophic Level 1 as primary producers.
Primary producers form the foundational trophic level in all food chains.
2
Identify organisms that directly feed on producers.
Herbivores such as grasshoppers consume plant matter directly, placing them at Trophic Level 2 as primary consumers.
Direct consumers of autotrophs occupy the second trophic position.
3
Identify organisms that prey on primary consumers.
Carnivores such as frogs feed on primary consumers (herbivores), placing them at Trophic Level 3 as secondary consumers.
Predators of herbivores occupy the third trophic position in energy transfer.
4
Identify organisms responsible for breaking down dead organic waste.
Saprophytic fungi and bacteria digest non-living organic matter, functioning as decomposers.
Decomposers facilitate nutrient recycling back into abiotic ecosystem pools.

Key Concept

Trophic level classification and functional roles in food chains
Question 8614Question

Two synthetic polymers, Polymer X (a polyamide formed by condensation polymerization) and Polymer Y (a polyalkene formed by addition polymerization), are buried in soil at a waste disposal site. Over time, Polymer X undergoes gradual microbial breakdown, whereas Polymer Y remains chemically intact for decades. What is the primary structural reason for this marked difference in biodegradability?

Show answer & explanation

Answer: Polymer X contains hydrolyzable polar linkages vulnerable to enzymatic cleavage, whereas Polymer Y possesses a non-polar carbon-carbon backbone resistant to microbial attack.

Answer

Polymer X contains hydrolyzable polar linkages vulnerable to enzymatic cleavage, whereas Polymer Y possesses a non-polar carbon-carbon backbone resistant to microbial attack.
Biodegradability depends on the presence of polar functional linkages (such as amide –CO–NH– or ester –CO–O– bonds) within the main chain that soil micro-organisms can cleave via enzymatic hydrolysis. Polymer X (a polyamide) contains these hydrolyzable bonds. In contrast, Polymer Y (an addition polyalkene) has a saturated, non-polar carbon-carbon backbone that micro-organisms lack the specific enzymes to decompose, causing it to persist indefinitely.

Step-by-Step Solution

1
Analyze the backbone chemical structure of Polymer X (condensation polyamide) versus Polymer Y (addition polyalkene).
Polymer X features repeating amide linkages (–CO–NH–), while Polymer Y consists of a continuous chain of single carbon-carbon bonds (–C–C–).
Chemical degradation in nature relies on microbial enzymes recognizing specific functional groups.
2
Evaluate the mechanism of microbial breakdown for these functional groups.
Microbial enzymes secrete hydrolases that break polar amide and ester bonds via hydrolysis, whereas non-polar C-C backbones lack reactive sites for enzymatic cleavage.
Enzymatic hydrolysis requires polar or reactive functional groups embedded within the polymer chain.
3
Select the option that correctly attributes biodegradability to structural functional group susceptibility.
The option stating that Polymer X contains hydrolyzable polar linkages while Polymer Y has a non-polar carbon-carbon backbone is correct.
This represents the fundamental chemical basis of polymer degradation in the environment.

Key Concept

Structural Basis of Polymer Biodegradability
Estimated Time:1m 30s
Question 8615Question

Match each salt in aqueous solution to the correct chemical description of its hydrolysis behavior and resulting pH at 25C25^\circ\text{C}.

Click a left item, then click its matching right item

Items

Ammonium sulfate, (NH4)2SO4(NH_4)_2SO_4
Sodium propanoate, CH3CH2COONaCH_3CH_2COONa
Potassium nitrate, KNO3KNO_3
Ammonium cyanide, NH4CNNH_4CN

Matches

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Answer

Ammonium sulfate pairs with the acidic cation-hydrolyzing description; Sodium propanoate pairs with the alkaline anion-hydrolyzing description; Potassium nitrate pairs with the neutral non-hydrolyzing description; Ammonium cyanide pairs with the alkaline dual-hydrolyzing description where Kb>KaK_b > K_a.
The solution pH resulting from salt hydrolysis depends directly on the relative strengths of the parent acid and base. Salts derived from weak bases and strong acids yield acidic solutions via cation hydrolysis. Salts derived from strong bases and weak acids yield alkaline solutions via anion hydrolysis. Salts of strong acids and strong bases do not undergo net hydrolysis, remaining neutral. For salts derived from both a weak acid and a weak base, both ions undergo hydrolysis, and the solution acidity or alkalinity is determined by comparing the KbK_b of the weak base to the KaK_a of the weak acid.

Step-by-Step Solution

1
Identify the parent acid and parent base for each salt.
(NH4)2SO4(NH_4)_2SO_4 comes from NH3NH_3 (weak base) and H2SO4H_2SO_4 (strong acid). CH3CH2COONaCH_3CH_2COONa comes from NaOHNaOH (strong base) and CH3CH2COOHCH_3CH_2COOH (weak acid). KNO3KNO_3 comes from KOHKOH (strong base) and HNO3HNO_3 (strong acid). NH4CNNH_4CN comes from NH3NH_3 (weak base) and HCNHCN (weak acid).
The strength of parent acids and bases determines which ions undergo hydrolysis in water.
2
Determine which ion hydrolyzes for single-weak component salts.
In (NH4)2SO4(NH_4)_2SO_4, NH4+NH_4^+ hydrolyzes to produce H3O+H_3O^+ (acidic, pH<7pH < 7). In CH3CH2COONaCH_3CH_2COONa, CH3CH2COOCH_3CH_2COO^- hydrolyzes to produce OHOH^- (alkaline, pH>7pH > 7). In KNO3KNO_3, neither ion hydrolyzes (neutral, pH=7pH = 7).
Conjugate ions of weak species react with water, whereas conjugate ions of strong species do not hydrolyze.
3
Compare ionization constants for the weak acid-weak base salt.
For NH4CNNH_4CN, compare Kb(NH3)=1.8×105K_b(NH_3) = 1.8 \times 10^{-5} with Ka(HCN)=6.2×1010K_a(HCN) = 6.2 \times 10^{-10}. Since Kb>KaK_b > K_a, CNCN^- anion hydrolysis produces more OHOH^- than NH4+NH_4^+ cation hydrolysis produces H3O+H_3O^+, resulting in an alkaline solution (pH>7pH > 7).
When both ions hydrolyze, the relative magnitudes of KaK_a and KbK_b govern whether OHOH^- or H3O+H_3O^+ is in excess.

Key Concept

Salt Hydrolysis and Solution Acidity/Alkalinity
Estimated Time:1m 30s
Question 8616Question
Excess solid carbon, C(s)\text{C}(s), and 4.0 mol4.0\text{ mol} of carbon dioxide gas, CO2(g)\text{CO}_2(g), are introduced into an evacuated 2.0 dm32.0\text{ dm}^3 rigid reaction vessel at a constant temperature. The system reaches equilibrium according to the reaction equation:
C(s)+CO2(g)2CO(g)\text{C}(s) + \text{CO}_2(g) \rightleftharpoons 2\text{CO}(g)
If the equilibrium concentration of carbon monoxide gas, CO(g)\text{CO}(g), is determined to be 0.80 mol dm30.80\text{ mol dm}^{-3}, calculate the numerical value of the equilibrium constant, KcK_c, in mol dm3\text{mol dm}^{-3}.
Show answer & explanation

Answer: 0.4

Answer

The numerical value of the equilibrium constant, KcK_c, is 0.40.4 (or 0.400.40).
To find KcK_c, first convert moles of CO2\text{CO}_2 to initial concentration: [CO2]0=4.0 mol2.0 dm3=2.00 mol dm3[\text{CO}_2]_0 = \frac{4.0\text{ mol}}{2.0\text{ dm}^3} = 2.00\text{ mol dm}^{-3}. From stoichiometry (C(s)+CO2(g)2CO(g)\text{C}(s) + \text{CO}_2(g) \rightleftharpoons 2\text{CO}(g)), creating 0.80 mol dm30.80\text{ mol dm}^{-3} of CO\text{CO} consumes 0.802=0.40 mol dm3\frac{0.80}{2} = 0.40\text{ mol dm}^{-3} of CO2\text{CO}_2. At equilibrium, [CO2]eq=2.000.40=1.60 mol dm3[\text{CO}_2]_{eq} = 2.00 - 0.40 = 1.60\text{ mol dm}^{-3}. Omitting the solid carbon C(s)\text{C}(s) from the expression gives Kc=[CO]2[CO2]=(0.80)21.60=0.40 mol dm3K_c = \frac{[\text{CO}]^2}{[\text{CO}_2]} = \frac{(0.80)^2}{1.60} = 0.40\text{ mol dm}^{-3}.

Step-by-Step Solution

1
Calculate initial concentration of reactant gas
[CO2]0=2.00 mol dm3[\text{CO}_2]_0 = 2.00\text{ mol dm}^{-3}
Concentration must be calculated in mol dm3\text{mol dm}^{-3} by dividing moles by vessel volume (2.0 dm32.0\text{ dm}^3).
2
Determine equilibrium concentrations using stoichiometric ratios
[CO2]eq=1.60 mol dm3[\text{CO}_2]_{eq} = 1.60\text{ mol dm}^{-3} and [CO]eq=0.80 mol dm3[\text{CO}]_{eq} = 0.80\text{ mol dm}^{-3}
The stoichiometric mole ratio of CO2\text{CO}_2 to CO\text{CO} is 1:21:2. Thus, consuming 0.40 mol dm30.40\text{ mol dm}^{-3} of CO2\text{CO}_2 yields 0.80 mol dm30.80\text{ mol dm}^{-3} of CO\text{CO}.
3
Formulate the equilibrium constant expression for the heterogeneous reaction
Kc=[CO]2[CO2]K_c = \frac{[\text{CO}]^2}{[\text{CO}_2]}
Pure solids such as C(s)\text{C}(s) have constant concentration and are omitted from the equilibrium constant expression.
4
Calculate the value of KcK_c
Kc=(0.80)21.60=0.40K_c = \frac{(0.80)^2}{1.60} = 0.40
Substitute equilibrium concentrations into the KcK_c expression and solve.

Key Concept

Equilibrium constant expression for heterogeneous equilibria and ICE table calculations.
Question 8617Question

A standard solution is prepared by dissolving 4.0 g4.0\text{ g} of pure solid sodium hydroxide (NaOH\text{NaOH}) in distilled water to make 1.0 dm31.0\text{ dm}^3 of solution. What is the molar concentration of this solution? [Na=23, O=16, H=1][\text{Na} = 23,\text{ O} = 16,\text{ H} = 1]

Show answer & explanation

Answer: 0.10 mol dm30.10\text{ mol dm}^{-3}

Answer

The molar concentration of the sodium hydroxide solution is 0.10 mol dm30.10\text{ mol dm}^{-3}.
The solution containing 4.0 g4.0\text{ g} of NaOH\text{NaOH} per dm3\text{dm}^3 is converted to molar concentration by dividing by the molar mass of NaOH\text{NaOH} (40 g mol140\text{ g mol}^{-1}), yielding 0.10 mol dm30.10\text{ mol dm}^{-3}.

Step-by-Step Solution

1
Calculate the molar mass of sodium hydroxide (NaOH\text{NaOH}).
Molar mass =23+16+1=40 g mol1= 23 + 16 + 1 = 40\text{ g mol}^{-1}.
Molar mass is required to convert mass to moles.
2
Calculate the concentration in mol dm3\text{mol dm}^{-3} by dividing mass concentration by molar mass.
\text{Molar concentration} = \frac{4.0\text{ g dm}^{-3}}{40\text{ g mol}^{-1}} = 0.10\text{ mol dm}^{-3}.
Molar concentration is defined as moles of solute per unit volume of solution in dm3\text{dm}^3.

Key Concept

Conversion from mass concentration (g/dm³) to molar concentration (mol/dm³)
Estimated Time:45s
Question 8618Question

The chemical breakdown of dietary proteins requires sequential enzymatic activity across different regions of the mammalian alimentary canal. What is the correct sequence of these processes from the start of chemical digestion to nutrient absorption?

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct sequence of protein digestion and absorption is: acidic cleavage into polypeptides in the stomach, alkaline breakdown into oligopeptides in the duodenum, brush-border cleavage into free amino acids in the ileum, and active absorption of amino acids into intestinal capillaries.
Protein digestion follows a strict anatomical and biochemical progression. First, stomach hydrochloric acid and pepsin denature and break complex proteins into polypeptides under acidic conditions. Next, pancreatic trypsin and chymotrypsin in the alkaline environment of the duodenum break polypeptides into short oligopeptides. Then, brush-border peptidases in the ileum convert oligopeptides into absorbable free amino acids. Finally, these free amino acids are actively absorbed across microvilli into blood capillaries.

Step-by-Step Solution

1
Identify the initial organ of chemical protein digestion.
Chemical digestion of protein begins in the stomach where gastric juice containing hydrochloric acid activates pepsinogen to pepsin, hydrolyzing native proteins into polypeptides.
Salivary amylase in the mouth acts only on carbohydrates; no protein-digesting enzymes are secreted in the buccal cavity.
2
Determine the subsequent region of the digestive tract and its corresponding enzymatic activity.
Chyme enters the duodenum where pancreatic juice neutralizes acid. Pancreatic proteases (trypsin and chymotrypsin) hydrolyze polypeptides into short oligopeptides.
Pancreatic endopeptidases require an alkaline pH optimal for their catalytic activity in the duodenum.
3
Identify the terminal stage of enzymatic hydrolysis.
Intestinal peptidases (erepsin) on the brush border of the ileum hydrolyze oligopeptides into individual amino acids.
Final breakdown to amino acid monomers must occur before absorption across cell membranes can take place.
4
Identify the final nutrient absorption process.
Free amino acids are actively transported across villi epithelial membranes into blood capillaries of the hepatic portal system.
Absorbed amino acids travel via the hepatic portal vein directly to the liver for metabolic processing.

Key Concept

Sequential Protein Digestion and Absorption Pathway
Question 8619Question

A 16.1 g16.1\text{ g} sample of hydrated sodium tetraoxosulfate(VI), Na2SO4xH2O\text{Na}_2\text{SO}_4 \cdot x\text{H}_2\text{O}, is heated in a crucible until all the water of crystallization is driven off. The mass of the remaining anhydrous salt is 7.1 g7.1\text{ g}. Calculate the value of xx. [Relative atomic masses: Na=23\text{Na} = 23, S=32\text{S} = 32, O=16\text{O} = 16, H=1\text{H} = 1]

Show answer & explanation

Answer: 10

Answer

The integer value of xx is 10.
Heating 16.1 g16.1\text{ g} of hydrated sodium tetraoxosulfate(VI) yields 7.1 g7.1\text{ g} of anhydrous Na2SO4\text{Na}_2\text{SO}_4 (0.05 mol0.05\text{ mol}) and releases 9.0 g9.0\text{ g} of water (0.5 mol0.5\text{ mol}). The mole ratio of H2O\text{H}_2\text{O} to Na2SO4\text{Na}_2\text{SO}_4 is 0.5/0.05=100.5 / 0.05 = 10, giving x=10x = 10.

Step-by-Step Solution

1
Calculate the mass of water lost upon heating
Mass of H2O=16.1 g7.1 g=9.0 g\text{H}_2\text{O} = 16.1\text{ g} - 7.1\text{ g} = 9.0\text{ g}
The difference between the initial hydrated mass and final anhydrous mass represents the driven-off water of crystallization.
2
Calculate molar masses of anhydrous salt and water
Molar mass of Na2SO4=142 g/mol\text{Na}_2\text{SO}_4 = 142\text{ g/mol}, Molar mass of H2O=18 g/mol\text{H}_2\text{O} = 18\text{ g/mol}
Required to convert sample masses to mole quantities.
3
Calculate moles of anhydrous salt and water, and find the mole ratio
Moles of Na2SO4=0.05 mol\text{Na}_2\text{SO}_4 = 0.05\text{ mol}, Moles of H2O=0.5 mol\text{H}_2\text{O} = 0.5\text{ mol}, x=0.50.05=10x = \frac{0.5}{0.05} = 10
The subscript xx gives the ratio of moles of water to moles of anhydrous salt per mole of compound.

Key Concept

Stoichiometric determination of water of crystallization in hydrated salts
Question 8620Question

Organophosphate pesticides persist in agricultural soils for significantly longer periods than organochlorine insecticides because organophosphates resist chemical hydrolysis and microbial degradation.

Show answer & explanation

Answer: False

Answer

False
The correct evaluation is False. Organochlorines contain non-polar carbon-chlorine bonds that resist chemical hydrolysis and biological breakdown, causing them to persist in agricultural soils and bioaccumulate up the food chain. Organophosphates possess ester linkages that hydrolyze relatively quickly in moist soil, resulting in much shorter environmental persistence.

Step-by-Step Solution

1
Analyze the chemical bonding and functional groups present in organochlorines vs organophosphates.
Organochlorines feature stable C-Cl bonds, while organophosphates contain reactive phosphate ester bonds.
Bond strength and polarity determine susceptibility to chemical and biological degradation pathways in soil.
2
Evaluate degradation mechanisms and environmental persistence in soil.
Organophosphates undergo rapid hydrolysis and microbial enzymatic cleavage in moist soil, whereas organochlorines resist weathering and remain in soil for long periods.
Ester linkages in organophosphates are easily cleaved by soil moisture and enzymes, unlike non-polar chlorinated hydrocarbons.

Key Concept

Chemical stability, environmental persistence, and bioaccumulation pathways of organochlorine vs organophosphate pesticides in soil
Estimated Time:1m 0s
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