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13931 questions

Question 5121Question

While both totalitarian and authoritarian regimes concentrate political power in an un-elected leadership, political theorists distinguish between the two based on their structural relationship with society. Which of the following fundamental characteristics distinguishes a totalitarian state from an authoritarian system?

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Answer: Totalitarian states enforce an all-encompassing official ideology and demand active mass mobilization across public and private spheres, whereas authoritarian states permit limited social pluralism provided political rule is unchallenged.

Answer

Totalitarian states enforce an all-encompassing official ideology and demand active mass mobilization across public and private spheres, whereas authoritarian states permit limited social pluralism provided political rule is unchallenged.
Totalitarianism is defined by its totalizing ambition: it seeks to control all social, economic, cultural, and personal aspects of life under a singular, compulsory ideology accompanied by forced mass mobilization. Authoritarianism, by contrast, restricts political participation and opposition but typically tolerates social and economic institutions operating independently so long as they do not threaten the regime's political power.

Step-by-Step Solution

1
Analyze the core distinction between Totalitarianism and Authoritarianism.
Totalitarianism aims for total transformation of human nature and society, eliminating the boundary between public and private domains.
Understanding the scope of state penetration into society is essential for regime classification.
2
Evaluate the role of ideology and citizen mobilization.
Totalitarian regimes mandate total ideological commitment and active state-directed mobilization, whereas authoritarian regimes prioritize political passivity and compliance.
Ideological control and forced active participation characterize totalitarian state systems.
3
Compare with social and economic pluralism.
Authoritarian states often allow non-political institutions to function as long as they do not oppose the ruling regime politically.
Limited pluralism distinguishes authoritarian governance from the total institutional control of totalitarianism.

Key Concept

Totalitarianism vs Authoritarianism
Estimated Time:1m 30s
Question 5122Question

Which mechanism primarily regulates the allocation of resources and pricing of goods in a purely capitalist economy?

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Answer: The free interaction of supply and demand forces

Answer

The free interaction of supply and demand forces
Under capitalism, the economy is driven by private enterprise, consumer choice, and the price mechanism. Prices and the quantity of goods produced are naturally balanced through the interaction of market supply and demand forces.

Step-by-Step Solution

1
Identify the primary economic system in question
The question asks about capitalism (a free-market economy).
Understanding the core philosophy of capitalism is essential for selecting the correct regulating mechanism.
2
Determine how resources and prices are regulated in capitalism
Capitalism relies on the price mechanism, where market forces of demand and supply determine what goods are produced and at what price.
Private ownership and consumer sovereignty allow decentralized market interactions to allocate resources.

Key Concept

Price Mechanism in Capitalism
Estimated Time:45s
Question 5123Question

Match each economic concept associated with the division of labor and specialization on the left with its corresponding operational impact or limitation on the right.

Click a left item, then click its matching right item

Items

Occupational Immobility
Extent of the Market
Loss of Craftsmanship
Risk of Interdependence

Matches

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Answer

Occupational Immobility pairs with difficulty transitioning to alternative trades; Extent of the Market pairs with consumer demand limiting subdivision of production; Loss of Craftsmanship pairs with repetitive tasks reducing pride in work; Risk of Interdependence pairs with a stoppage in one department halting the entire line.
Each economic term precisely matches its defining operational outcome: Occupational Immobility restricts skill transferability; Extent of the Market sets the upper limit on viable task division based on demand; Loss of Craftsmanship stems from repetitive task fragmentation; and Risk of Interdependence highlights operational vulnerability across sequential stages.

Step-by-Step Solution

1
Analyze the concept of Occupational Immobility
Identify that acquiring highly specialized, narrow skills restricts mobility to other jobs when market demand changes.
Specialization creates skill specificity, reducing adaptability across occupations.
2
Analyze the Extent of the Market limitation
Recognize that a firm cannot subdivide labor extensively unless market demand is large enough to absorb large output.
Adam Smith's principle dictates that market size dictates the viable scale of division of labor.
3
Analyze Loss of Craftsmanship
Associate repetitive single-task execution with boredom, monotony, and loss of pride in creating a complete finished good.
Fragmented tasks alienate workers from the final product outcome.
4
Analyze Risk of Interdependence
Match sequential reliance among specialized units with systemic vulnerability to single-point delays.
Connected assembly lines require seamless operation at every stage to avoid total bottlenecks.

Key Concept

Division of Labor, Specialization, and their Structural Limitations
Estimated Time:1m 30s
Question 5124Question

A consumer is willing to pay a maximum of ₦8,500 for a new textbook, but purchases it in the market for ₦5,800. What is the value of the consumer surplus in Naira?

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Answer: 2700

Answer

The consumer surplus is ₦2,700.
Consumer surplus is calculated by deducting the actual price paid from the maximum price the consumer was willing to pay: ₦8,500 - ₦5,800 = ₦2,700.

Step-by-Step Solution

1
Identify maximum willingness to pay and actual price
Maximum Willingness to Pay = ₦8,500; Market Price = ₦5,800
Consumer surplus is determined by comparing what the buyer is willing to pay against the market price.
2
Subtract the market price from the maximum willingness to pay
Consumer Surplus = ₦8,500 - ₦5,800 = ₦2,700
Consumer Surplus represents the financial gain or net benefit enjoyed by the consumer.

Key Concept

Consumer surplus is the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they actually pay.
Estimated Time:45s
Question 5125Question

During a national constitutional conference, delegates proposed transitioning from a bicameral legislature to a unicameral system. Which of the following arguments best justifies this proposed transition?

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Answer: It significantly reduces the cost of governance and prevents undue delays in passing emergency legislation.

Answer

It significantly reduces the cost of governance and prevents undue delays in passing emergency legislation.
The choice emphasizing reduced governance costs and faster legislative processes correctly identifies the primary merits of a unicameral system. With only one chamber, state expenditure on legislative salaries and administration is lowered, and bills move to passage without inter-cameral disputes or duplication of readings.

Step-by-Step Solution

1
Analyze the core structural differences between bicameral and unicameral legislative systems.
Unicameralism features a single legislative chamber, whereas bicameralism consists of two distinct houses.
Understanding the structural difference highlights the operational advantages of having one house versus two.
2
Evaluate the financial and procedural consequences of operating a single legislative chamber.
Having one chamber requires maintaining fewer lawmakers and staff, avoiding duplicated committee proceedings and delays caused by inter-chamber disagreements.
This directly supports the rationale for switching to a unicameral system to save costs and accelerate law-making.

Key Concept

Arguments for Unicameralism vs. Bicameralism
Estimated Time:1m 0s
Question 5126Question

Under the Nigerian Petroleum Industry Act (PIA) of 2021, upstream petroleum operators are statutorily required to contribute 3 percent of their preceding financial year's actual operating expenditure (OPEX) to fund the Host Communities Development Trust.

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Answer: True

Answer

True
The statutory requirement under Section 240 of the Petroleum Industry Act 2021 mandates that upstream license and lease holders allocate 3% of their preceding year's actual operating expenditure directly into their designated Host Communities Development Trust Fund.

Step-by-Step Solution

1
Identify the legal framework governing petroleum sector management and host community relations in Nigeria.
The Petroleum Industry Act (PIA) of 2021 restructured sector governance and established statutory Host Communities Development Trusts (HCDTs).
Understanding institutional policy shifts is crucial for analyzing resource management and conflict mitigation mechanisms in the oil sector.
2
Examine the specific financial metrics and statutory percentage defined in the PIA 2021 for host community funding.
Section 240 specifies an annual levy of 3% calculated directly from upstream operating expenses (OPEX) of the previous year.
Using OPEX ensures a regular revenue stream tied directly to ongoing field operations rather than fluctuating net profit margins.

Key Concept

Host Communities Development Trust Funding under PIA 2021
Estimated Time:1m 30s
Question 5127Question

Match each constitutional concept relating to the Rule of Law with its corresponding legal function, safeguard, or limitation in democratic governance.

Click a left item, then click its matching right item

Items

Executive Immunity Clause
Writ of Habeas Corpus
Equality Before the Law
State of Emergency Proclamation

Matches

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Answer

Executive Immunity Clause matches with the legal limitation restricting civil and criminal court actions against designated top executive officers while actively serving in office; Writ of Habeas Corpus matches with the procedural judicial safeguard compelling detaining authorities to produce a suspect in court to evaluate the lawfulness of their detention; Equality Before the Law matches with the core principle establishing that all citizens, regardless of rank or official position, are subject to ordinary laws and ordinary courts; State of Emergency Proclamation matches with the constitutional limitation permitting the temporary restriction of specific civil liberties to preserve national order during severe crises.
Each concept is correctly aligned with its standard legal definition and operational application in public law and constitutional theory.

Step-by-Step Solution

1
Analyze the purpose and constitutional scope of the Executive Immunity Clause.
Identify it as a protective legal limitation shielding serving executive leaders from court litigations during their term.
Immunity prevents frivolous suits from disrupting state administration but acts as a limitation on immediate judicial accountability.
2
Examine the legal mechanism of the Writ of Habeas Corpus.
Identify it as a procedural judicial remedy against unlawful arrest and arbitrary custody.
It forces detaining officers to bring the detainee before a judge to demonstrate lawful grounds for detention.
3
Evaluate A.V. Dicey's principle of Equality Before the Law.
Match it with the requirement that no person is above the law and all are subject to ordinary courts.
This principle rejects special privileges for state officials or separate administrative courts for public officers.
4
Determine the constitutional impact of a State of Emergency Proclamation.
Match it with the temporary restriction of fundamental rights during public emergencies.
Constitutionalism incorporates emergency clauses to balance individual liberties with state survival during extreme crises.

Key Concept

Principles, Safeguards, and Limitations of the Rule of Law and Constitutionalism
Question 5128Question

To bridge a temporary 90-day shortfall in working capital, a reputable private corporation issues an unsecured promissory note directly to institutional investors. Which financial instrument is being utilized, and which market segment does it belong to?

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Answer: Commercial paper, which is a short-term money market instrument.

Answer

Commercial paper, which is a short-term money market instrument.
Commercial paper is an unsecured, short-term promissory note issued by financially sound corporations to raise short-term funds for operational requirements like working capital. Because its maturity period is under one year (in this case, 90 days), it is traded exclusively within the money market.

Step-by-Step Solution

1
Analyze the borrowing duration and issuer profile
The instrument maturity is 90 days (short-term, under one year) and the issuer is a private corporation seeking working capital.
Money market instruments cater to short-term borrowing needs (maturity under one year), whereas capital market instruments cater to long-term financing.
2
Differentiate between short-term instruments based on issuer type
Unsecured short-term promissory notes issued by private corporate firms are classified as commercial papers.
Treasury bills are short-term instruments issued by government monetary authorities, while commercial papers are corporate short-term debt.
3
Confirm financial market classification
Commercial papers are traded in the money market.
The money market handles short-term financial assets, distinguishing it from the capital market which deals with long-term securities like debentures and development stocks.

Key Concept

Classification of Money Market Instruments vs Capital Market Instruments
Estimated Time:1m 30s
Question 5129Question

Arrange the following stages involved in the formal process of enacting a written constitution through a constituent assembly in their correct sequential order from first to last:

Drag items to arrange them in the correct order

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Answer

The correct sequential order is: First, constitution of a drafting committee to formulate the initial constitutional proposal; second, deliberation and clause-by-clause consideration by the constituent assembly; third, formal voting, approval, and adoption of the consolidated document; fourth, executive proclamation and official promulgation.
The enactment of a formal written constitution follows a strict procedural sequence: drafting from memoranda, detailed legislative debate and amendment, formal voting or referendum ratification, and finally legal promulgation into force.

Step-by-Step Solution

1
Identify the initial proposal and drafting phase
The formation of a drafting committee to gather public input and synthesize proposals into a draft document comes first.
A legislative or constituent assembly requires a drafted working text before structured debate can take place.
2
Identify the assembly review and debate phase
Detailed clause-by-clause consideration and amendment by the constituent assembly follows the drafting phase.
Representatives must examine and modify the draft to reflect democratic agreement.
3
Identify the adoption and ratification phase
Formal voting and approval of the final agreed text occurs after all clauses have been debated.
The complete document must receive formal approval or popular ratification before being legal enacted.
4
Identify the final legal enactment phase
Executive proclamation and official promulgation is the ultimate stage.
Promulgation gives the constitution its formal binding force as the supreme legal authority.

Key Concept

Stages of Constitutional Enactment and Drafting Process
Estimated Time:2m 0s
Question 5130Question

Under a managed floating exchange rate system, when a country's currency experiences severe downward pressure due to an increased market supply of the domestic currency, which of the following measures can the central bank take to stabilize its value?

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Answer: Sell foreign reserves to purchase the domestic currency in the foreign exchange market

Answer

The central bank stabilizes the currency by selling foreign reserves to purchase domestic currency in the foreign exchange market.
In a managed floating foreign exchange system, monetary authorities actively intervene during periods of currency weakness by selling foreign exchange reserves to buy back their own currency. This intervention increases demand for the domestic currency and shifts the demand curve to the right, stabilizing its value.

Step-by-Step Solution

1
Analyze the exchange rate system and market condition
Under a managed float system, exchange rates fluctuate based on market forces, but central banks step in when excessive currency depreciation or appreciation occurs.
Downward pressure on foreign exchange value is caused by excess supply of domestic currency or insufficient market demand.
2
Identify the central bank intervention technique
To boost the exchange rate, the monetary authority must absorb excess domestic currency from the market.
Using official foreign reserves to buy back domestic currency directly increases demand for the home currency.
3
Evaluate the market shift
The rightward shift in the demand curve for the domestic currency restores equilibrium at a higher exchange rate level.
Direct market purchasing offsets depreciation pressures.

Key Concept

Central Bank Foreign Exchange Market Intervention under Managed Float
Estimated Time:1m 15s
Question 5131Question

An individual consumer's weekly demand function for sugar is expressed as Qd=1204PQ_d = 120 - 4P, where QdQ_d represents the quantity demanded in bags and PP represents the price per bag in Naira (\text{₦}). According to the law of demand, by how many bags does the quantity demanded decrease when the price per bag increases from 10\text{₦}10 to 15\text{₦}15?

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Answer: 20

Answer

The quantity demanded decreases by 20 bags.
According to the law of demand, an increase in price leads to a decrease in quantity demanded, ceteris paribus. Substituting P=10P = 10 into the demand equation yields Qd=1204(10)=80Q_d = 120 - 4(10) = 80 bags. Substituting P=15P = 15 yields Qd=1204(15)=60Q_d = 120 - 4(15) = 60 bags. The difference between the initial and new quantity demanded is 8060=2080 - 60 = 20 bags.

Step-by-Step Solution

1
Calculate initial quantity demanded (Q1Q_1) at price P=10P = 10
Q1=1204(10)=80Q_1 = 120 - 4(10) = 80 bags
Substitute the initial price of 10\text{₦}10 into the given demand function Qd=1204PQ_d = 120 - 4P.
2
Calculate new quantity demanded (Q2Q_2) at price P=15P = 15
Q2=1204(15)=60Q_2 = 120 - 4(15) = 60 bags
Substitute the higher price of 15\text{₦}15 into the demand function to reflect movement along the demand curve as price increases.
3
Determine the magnitude of the decrease in quantity demanded
Decrease = 8060=2080 - 60 = 20 bags
Subtract the new quantity demanded from the initial quantity demanded to measure the change resulting from the price change.

Key Concept

Law of Demand and Demand Function Evaluation
Estimated Time:1m 30s
Question 5132Question

Match each plant group in List I with its corresponding evolutionary structural feature and level of tissue complexity in List II.

Click a left item, then click its matching right item

Items

Thallophytes
Bryophytes
Pteridophytes
Gymnosperms

Matches

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Answer

Thallophytes match with simple undifferentiated body plans lacking vascular tissues; Bryophytes match with non-vascular land plants having rhizoids and a dominant gametophyte generation; Pteridophytes match with seedless vascular plants possessing true roots, stems, and leaves; Gymnosperms match with vascular plants bearing naked seeds on cones.
The correct evolutionary sequence progresses from simple aquatic undifferentiated thalli (Thallophytes) to non-vascular land plants with rhizoids (Bryophytes), followed by seedless vascular plants with true roots and leaves (Pteridophytes), and finally seed-bearing vascular plants with naked seeds (Gymnosperms).

Step-by-Step Solution

1
Analyze the structural complexity of Thallophytes
Identify that Thallophytes consist of undifferentiated thalloid bodies without roots, stems, leaves, or vascular tissues.
This is the most primitive aquatic plant organisation.
2
Examine the adaptations of Bryophytes
Recognize that Bryophytes are poorly adapted for dry land because they lack xylem and phloem, depend on rhizoids for absorption/anchorage, and feature a dominant gametophyte.
They mark the transition to terrestrial habitats without true vascularization.
3
Evaluate the evolutionary leap in Pteridophytes
Identify that Pteridophytes developed true vascular tissue (xylem and phloem) and true vegetative organs, but reproduce via spores without forming seeds.
They are the first vascular land plants.
4
Determine the seed-bearing characteristics of Gymnosperms
Connect Gymnosperms to vascular structure with naked seeds borne directly on scales or cones, preceding the evolution of enclosed ovaries in angiosperms.
Seed production allows reproduction independent of open water.

Key Concept

Evolutionary Trends in Plant Kingdom Body Plans and Vascularization
Question 5133Question

An experiment was set up to observe the growth response of a young plant shoot exposed to unilateral illumination from the left side. Which of the following physiological processes accounts for the bending of the shoot toward the light source?

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Answer: Auxins migrate laterally from the illuminated side to the shaded side, causing greater cell elongation on the shaded side.

Answer

Auxins migrate laterally from the illuminated side to the shaded side, causing greater cell elongation on the shaded side.
In positive phototropism of plant shoots, light falling from one side causes auxins produced at the apex to translocate laterally to the shaded side. The increased concentration of auxin on the shaded side causes those cells to elongate faster than the cells on the illuminated side, causing the shoot to curve toward the light source.

Step-by-Step Solution

1
Identify the primary plant hormone responsible for tropic responses in stem tips.
Auxins (specifically indole-3-acetic acid, IAA) control stem elongation and phototropism.
Auxins regulate cell wall extensibility and cell elongation in response to directional environmental stimuli.
2
Determine the distribution of auxins under unilateral lighting conditions.
Auxins move laterally away from the illuminated side toward the shaded side of the shoot tip.
Light triggers the lateral translocation of auxin transport proteins, directing auxin to the shaded region.
3
Analyze the differential growth effect resulting from this auxin distribution.
Cells on the shaded side elongate faster than cells on the illuminated side, producing an asymmetrical growth curvature toward light.
Higher auxin concentration in stems promotes elongation; asymmetrical elongation causes the shoot tip to bend toward the light.

Key Concept

Phototropism and Auxin Redistribution
Estimated Time:1m 0s
Question 5134Question

In Year 1, an economy recorded a Nominal GDP of ₦800 billion with a base price index of 100. By Year 2, the Nominal GDP grew to ₦1,200 billion, the price index rose to 150, and the total population reached 50 million. What is the Real Per Capita Income of the economy in Year 2?

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Answer: ₦16,000

Answer

₦16,000
To find the Real Per Capita Income, Nominal GDP must first be adjusted for inflation using the Price Index: Real GDP=(Nominal GDPPrice Index)×100=(1,200150)×100=₦800 billion\text{Real GDP} = (\frac{\text{Nominal GDP}}{\text{Price Index}}) \times 100 = (\frac{1,200}{150}) \times 100 = \text{₦800 billion}. Dividing this Real GDP by the Year 2 population of 50 million yields ₦800,000,000,00050,000,000=₦16,000\frac{\text{₦800,000,000,000}}{50,000,000} = \text{₦16,000}.

Step-by-Step Solution

1
Calculate Real GDP for Year 2
Real GDP = (Nominal GDP / Price Index) × 100 = (₦1,200 billion / 150) × 100 = ₦800 billion
Nominal GDP includes price inflation; dividing by the price index eliminates inflation to show true output volume.
2
Calculate Real Per Capita Income for Year 2
Real Per Capita Income = Real GDP / Population = ₦800,000,000,000 / 50,000,000 = ₦16,000
Per capita real income measures the real output available per individual in the population.

Key Concept

Real vs Nominal GDP and Per Capita Income
Estimated Time:1m 30s
Question 5135Question

In pea plants, the allele for axial flower position (AA) is completely dominant over the allele for terminal flower position (aa). If two heterozygous axial-flowered plants (AaAa) are crossed, what is the expected genotypic ratio (AA:Aa:aaAA : Aa : aa) among their offspring according to Mendel's First Law?

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Answer: 1:2:11 : 2 : 1

Answer

The expected genotypic ratio among the offspring is 1:2:11 : 2 : 1 (1AA:2Aa:1aa1\,AA : 2\,Aa : 1\,aa).
In a monohybrid cross between two heterozygous individuals (Aa×AaAa \times Aa), Mendel's Law of Segregation dictates that alleles segregate into gametes independently. Punnett square analysis gives 1/4AA1/4\,AA, 2/4Aa2/4\,Aa, and 1/4aa1/4\,aa, producing an exact genotypic ratio of 1:2:11 : 2 : 1.

Step-by-Step Solution

1
Identify parental genotypes and alleles produced
Both parents have the genotype AaAa. Gametes produced by each parent are AA and aa in equal proportions (1/2A1/2\,A and 1/2a1/2\,a).
Mendel's Law of Segregation states that allele pairs separate during gamete formation so that each gamete carries only one allele for each gene.
2
Construct a Punnett square for the cross Aa×AaAa \times Aa
Offspring combinations are: AAAA (1/41/4), AaAa (2/42/4), and aaaa (1/41/4).
Random fertilization combines gametes from both parents to form offspring genotypes.
3
Determine the genotypic ratio
The ratio of genotypes is 1AA:2Aa:1aa1\,AA : 2\,Aa : 1\,aa, which simplifies to 1:2:11 : 2 : 1.
The question specifically asks for the ratio of genotypes (AA:Aa:aaAA : Aa : aa), not physical appearances (phenotypes).

Key Concept

Mendel's Law of Segregation and Monohybrid Cross Genotypic Ratio
Estimated Time:1m 0s
Question 5136Question

In public enterprise reforms, governments adopt various structural strategies to reduce fiscal burdens and enhance operational efficiency. Which of the following accurately distinguishes partial commercialization from partial privatization?

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Answer: Partial commercialization restructures a state enterprise to operate on a self-sustaining profit-making basis while retaining complete government ownership, whereas partial privatization involves the sale of a portion of state equity to private investors.

Answer

Partial commercialization restructures a state enterprise to operate on a self-sustaining profit-making basis while retaining complete government ownership, whereas partial privatization involves the sale of a portion of state equity to private investors.
The correct option correctly states that partial commercialization involves internal structural reorganization to achieve self-sufficiency and profitability while government retains 100% equity, whereas partial privatization involves selling a percentage of public shares to private investors.

Step-by-Step Solution

1
Define commercialization in public sector administration
Commercialization involves reorganizing a public enterprise so that it operates like a commercial venture (aiming for profit/self-sufficiency) without changing its public ownership structure.
Understanding the ownership retention aspect of commercialization is essential for comparing public sector reforms.
2
Define privatization in public sector administration
Privatization explicitly entails the relinquishment or transfer of government equity and ownership rights to private individuals or corporate entities.
Ownership transfer distinguishes privatization from internal corporate reorganization.
3
Compare ownership and operational mechanics
Partial commercialization keeps 100% government shareholding while expecting profit-driven operations; partial privatization dilutes state ownership by divesting a fraction of public shares.
Synthesizing ownership vs operational goals reveals the distinct boundaries between the two concepts.

Key Concept

Distinction between Commercialization and Privatization of Public Corporations
Estimated Time:1m 30s
Question 5137Question

Which of the following constitutional provisions most directly safeguards judicial independence by protecting judges from executive financial pressure?

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Answer: Charging judicial salaries and allowances directly to the Consolidated Revenue Fund

Answer

Charging judicial salaries directly to the Consolidated Revenue Fund guarantees financial autonomy for the judiciary by removing executive discretion over judicial pay.
Charging judicial salaries directly to the Consolidated Revenue Fund ensures financial autonomy by preventing the executive branch from using budgetary control or salary cuts to influence judicial rulings.

Step-by-Step Solution

1
Identify the specific threat to judicial independence stated in the prompt.
The focus is on preventing executive financial pressure or coercion over judicial officers.
Judicial independence requires financial autonomy so that judges do not depend on executive approval for their salaries and allowances.
2
Evaluate constitutional mechanisms designed to ensure judicial financial independence.
Funding judicial salaries directly from the Consolidated Revenue Fund ensures that executive officials cannot cut, delay, or alter judicial pay.
This non-discretionary charge insulates the judiciary from executive intimidation.

Key Concept

Judicial Independence and Financial Autonomy
Question 5138Question
During the catalytic oxidation step in the Ostwald process for the industrial preparation of trioxonitrate(V) acid, ammonia gas reacts with excess oxygen according to the reaction equation:
4NH3(g)+5O2(g)4NO(g)+6H2O(g)4\text{NH}_3(g) + 5\text{O}_2(g) \rightarrow 4\text{NO}(g) + 6\text{H}_2\text{O}(g)
What is the volume of nitrogen(II) oxide gas (NO\text{NO}) produced at STP when 17.0 g17.0\text{ g} of ammonia gas is completely oxidized?
(Molar mass of NH3=17.0 g mol1\text{NH}_3 = 17.0\text{ g mol}^{-1}; Molar volume of gas at STP =22.4 dm3 mol1= 22.4\text{ dm}^3\text{ mol}^{-1})
Show answer & explanation

Answer: 22.4 dm322.4\text{ dm}^3

Answer

22.4 dm322.4\text{ dm}^3
One mole of ammonia (17.0 g17.0\text{ g}) yields exactly one mole of nitrogen(II) oxide gas according to the 1:1 mole ratio in the balanced chemical equation. At standard temperature and pressure (STP), one mole of any ideal gas occupies 22.4 dm322.4\text{ dm}^3. Therefore, the volume of nitrogen(II) oxide gas produced is 22.4 dm322.4\text{ dm}^3.

Step-by-Step Solution

1
Calculate the amount of ammonia gas in moles.
Moles of NH3=17.0 g17.0 g mol1=1.0 mol\text{Moles of NH}_3 = \frac{17.0\text{ g}}{17.0\text{ g mol}^{-1}} = 1.0\text{ mol}
Dividing given mass by molar mass determines the number of moles of reactant present.
2
Determine the mole ratio between ammonia (NH3\text{NH}_3) and nitrogen(II) oxide (NO\text{NO}).
Mole ratio of NH3:NO=4:4=1:1\text{Mole ratio of NH}_3 : \text{NO} = 4 : 4 = 1 : 1. Therefore, 1.0 mol1.0\text{ mol} of NH3\text{NH}_3 produces 1.0 mol1.0\text{ mol} of NO\text{NO}.
The balanced chemical equation shows that 4 moles of NH3\text{NH}_3 produce 4 moles of NO\text{NO}.
3
Calculate the volume of nitrogen(II) oxide gas produced at STP.
Volume of NO=1.0 mol×22.4 dm3 mol1=22.4 dm3\text{Volume of NO} = 1.0\text{ mol} \times 22.4\text{ dm}^3\text{ mol}^{-1} = 22.4\text{ dm}^3
Multiplying moles of product by the molar gas volume at STP (22.4 dm3 mol122.4\text{ dm}^3\text{ mol}^{-1}) yields the total gas volume.

Key Concept

Gas Stoichiometry and Ostwald Process Oxidation
Question 5139Question

In political governance, traditional authority derives its legitimacy primarily from written constitutional rules and legal codes rather than long-standing customs or hereditary practice.

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Answer: False

Answer

The statement is false. Traditional authority rests on historical precedent, long-established customs, and hereditary rights, while legal-rational authority relies on written constitutions, formal laws, and legal codes.
The statement is false because authority based on codified laws and constitutional structures is legal-rational authority. Traditional authority derives its legitimacy from long-established customs, cultural conventions, and hereditary succession.

Step-by-Step Solution

1
Analyze the definition and primary source of traditional authority.
Traditional authority is legitimized by long-standing customs, cultural heritage, and ancestral traditions.
Understanding the source of legitimacy is essential to evaluating the statement.
2
Compare the features in the statement with Max Weber's types of authority.
Legitimacy derived from written rules and legal codes describes legal-rational authority, not traditional authority.
Distinguishing between traditional authority and legal-rational authority reveals that the statement incorrectly attributes legal-rational features to traditional authority.

Key Concept

Weberian Typology of Authority
Question 5140Question

A consumer's consumption schedule for glasses of fresh juice reveals the following Total Utility (TUTU) values: 3636 utils for 33 glasses, 4848 utils for 44 glasses, 5555 utils for 55 glasses, 5555 utils for 66 glasses, and 4949 utils for 77 glasses. Based on this utility schedule, match each utility metric or milestone listed on the left with its corresponding calculated value or quantity on the right.

Click a left item, then click its matching right item

Items

Average Utility (AUAU) when consuming 44 glasses of juice
Marginal Utility (MUMU) derived from the 5th5^{\text{th}} glass of juice
Quantity of consumption (QQ) at the consumer's point of saturation
Marginal Utility (MUMU) derived from the 7th7^{\text{th}} glass of juice

Matches

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Answer

Average Utility at 4 units matches 12 utils per glass; Marginal Utility of the 5th unit matches 7 utils; Quantity at point of saturation matches 6 glasses; Marginal Utility of the 7th unit matches -6 utils.
Each utility concept correctly pairs with its mathematical derivation from the schedule: AUAU at 44 units equals 1212 utils per glass (48/448/4); MUMU of the 5th5^{\text{th}} unit equals 77 utils (554855-48); saturation point is reached at 66 glasses where MU=0MU = 0; and MUMU of the 7th7^{\text{th}} unit equals 6-6 utils (495549-55).

Step-by-Step Solution

1
Calculate Average Utility (AUAU) at 44 glasses.
AU4=TU4Q4=484=12AU_4 = \frac{TU_4}{Q_4} = \frac{48}{4} = 12 utils per glass.
Average Utility is defined as Total Utility divided by the total number of units consumed.
2
Calculate Marginal Utility (MUMU) for the 5th5^{\text{th}} glass.
MU5=TU5TU4=5548=7MU_5 = TU_5 - TU_4 = 55 - 48 = 7 utils.
Marginal Utility measures the change in Total Utility resulting from consuming one additional unit.
3
Identify the point of saturation (MU=0MU = 0).
At Q=6Q = 6, TUTU remains unchanged at 5555 utils, giving MU6=5555=0MU_6 = 55 - 55 = 0. Thus, 66 glasses is the saturation point.
Consumer saturation occurs when Total Utility reaches its maximum level and Marginal Utility drops to zero.
4
Calculate Marginal Utility (MUMU) for the 7th7^{\text{th}} glass.
MU7=TU7TU6=4955=6MU_7 = TU_7 - TU_6 = 49 - 55 = -6 utils.
When consumption exceeds the saturation point, Total Utility decreases, yielding negative Marginal Utility (disutility).

Key Concept

Concepts of Utility (Total, Average, and Marginal Utility)
Estimated Time:1m 30s
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