All practice questions

13931 questions

Question 5181Question

The table below displays the output schedule for a small bakery operating in the short run with a fixed oven capacity and variable units of labor:

Units of Labor (LL)Total Product (TPTP) in loaves
115
235
360
480
595

With the addition of which unit of labor does the Law of Diminishing Marginal Returns begin to operate?

Show answer & explanation

Answer: 4th unit of labor

Answer

The Law of Diminishing Marginal Returns begins to operate with the addition of the 4th unit of labor.
The Law of Diminishing Marginal Returns states that as equal units of a variable factor are added to fixed factors of production, the marginal product (MPMP) of the variable factor will eventually diminish. By calculating MP=ΔTP/ΔLMP = \Delta TP / \Delta L:
- MPMP of 1st unit = 15
- MPMP of 2nd unit = 20
- MPMP of 3rd unit = 25 (Peak MPMP)
- MPMP of 4th unit = 20 (First decline in MPMP)
- MPMP of 5th unit = 15

Since MPMP reaches its peak at the 3rd worker and declines for the 4th worker, diminishing returns set in with the 4th unit of labor.

Step-by-Step Solution

1
Calculate Marginal Product (MPMP) for each additional unit of labor
MP1=150=15MP_1 = 15 - 0 = 15, MP2=3515=20MP_2 = 35 - 15 = 20, MP3=6035=25MP_3 = 60 - 35 = 25, MP4=8060=20MP_4 = 80 - 60 = 20, MP5=9580=15MP_5 = 95 - 80 = 15.
Marginal product measures the addition to total product resulting from employing one additional unit of a variable input.
2
Identify the trend in Marginal Product (MPMP)
MPMP increases from 15 to 20 to a peak of 25 at the 3rd unit of labor, then drops to 20 at the 4th unit of labor.
The Law of Diminishing Returns states that as successive units of a variable input are added to a fixed input, marginal product will eventually decline.
3
Determine the exact unit of variable input where MPMP first decreases
The 4th unit of labor produces an MPMP of 20, which is lower than the previous MPMP of 25.
Diminishing marginal returns set in at the specific unit of input where MPMP starts to decline after reaching its maximum value.

Key Concept

Short-Run Production and Law of Diminishing Returns
Estimated Time:1m 15s
Question 5182Question

A potted green plant was supplied with water containing oxygen-18 isotope (H218OH_2^{18}O) and placed in a sealed chamber under bright sunlight with unlabeled carbon dioxide (C16O2C^{16}O_2). Which of the following photosynthetic products will contain the 18O^{18}O isotope?

Show answer & explanation

Answer: Molecular oxygen gas released during photolysis

Answer

Molecular oxygen gas released during photolysis
During the light-dependent stage of photosynthesis, light energy absorbed by chlorophyll powers photolysis, the splitting of water molecules (H2OH_2O). Because the water supplied contained isotopic 18O^{18}O, the oxygen gas (O2O_2) evolved as a byproduct is labeled with 18O^{18}O.

Step-by-Step Solution

1
Identify the stage of photosynthesis where water is consumed.
Water (H2OH_2O) is split during photolysis in the light-dependent reaction inside the thylakoid membranes.
Photolysis splits water into hydrogen ions (H+H^+), electrons (ee^-), and molecular oxygen (O2O_2).
2
Trace the metabolic fate of oxygen atoms from water vs. carbon dioxide.
The oxygen atoms in released O2O_2 gas come exclusively from H2OH_2O, while the oxygen atoms in carbohydrates (such as glucose and glycerate-3-phosphate) come from CO2CO_2.
Isotopic tracing experiments (Ruben and Kamen) proved that all evolved oxygen gas originates from water splitting.

Key Concept

Photolysis of water during the light-dependent stage of photosynthesis
Estimated Time:1m 0s
Question 5183Question

Match each source or mechanism of constitutional authority on the left with its defining operational characteristic on the right.

Click a left item, then click its matching right item

Items

Constitutional Conventions
Judicial Precedents
Statutory Enactments
Constituent Assembly

Matches

Show answer & explanation

Answer

Constitutional Conventions match with unwritten, legally unenforceable political rules; Judicial Precedents match with superior court case law interpretations; Statutory Enactments match with legislative acts that operationalize constitutional mandates; Constituent Assembly matches with a special body elected to draft and adopt a constitution.
Each item accurately aligns a key source or organ of constitutional development with its recognized legal and political function. Constitutional conventions represent unwritten political practices without judicial enforcement; judicial precedents reflect judge-made interpretations; statutory enactments are legislative statutes fleshing out constitutional provisions; and a constituent assembly is the body established to draft a constitution.

Step-by-Step Solution

1
Analyze Constitutional Conventions
Identified as customary political practices that bind state officials morally and politically, but not judicially.
Conventions form an informal source of constitutions particularly prominent in unwritten constitutional traditions like Britain's.
2
Analyze Judicial Precedents
Identified as legal decisions made by senior judges when interpreting constitutional statutes.
Judicial review allows courts to establish authoritative case law that clarifies ambiguity in constitutional provisions.
3
Analyze Statutory Enactments
Identified as ordinary statutes enacted by parliament to expand upon constitutional principles.
Constitutions outline fundamental structures, while statutory acts provide specific administrative procedures and regulatory frameworks.
4
Analyze Constituent Assembly
Identified as the primary formal mechanism for enacting a new constitution.
A constituent assembly represents popular sovereignty convened specifically to deliberate upon and adopt a sovereign constitution.

Key Concept

Formal and Informal Sources of Constitutions
Question 5184Question

Arrange the following stages of mammalian spermatogenesis in the correct sequence from the initial diploid stem cell division to the formation of functional gametes.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct chronological sequence is: Mitotic division of diploid spermatogonia to yield primary spermatocytes → First meiotic division (Meiosis I) of primary spermatocytes to form haploid secondary spermatocytes → Second meiotic division (Meiosis II) of secondary spermatocytes to produce haploid spermatids → Spermiogenesis involving structural differentiation of spermatids into mature, motile spermatozoa.
The proper developmental pathway follows cellular multiplication by mitosis (spermatogonia to primary spermatocytes), followed by reduction division in Meiosis I (forming secondary spermatocytes), equational division in Meiosis II (forming spermatids), and finally cellular differentiation during spermiogenesis (producing spermatozoa).

Step-by-Step Solution

1
Identify the starting germ cell and multiplication phase.
Spermatogonia (diploid) undergo mitosis to maintain the stem cell population and produce primary spermatocytes.
Gametogenesis begins with mitotic multiplication before meiotic reduction can take place.
2
Determine the first reductional division stage.
Primary spermatocytes enter Meiosis I, resulting in haploid secondary spermatocytes.
Homologous chromosomes separate during Meiosis I, reducing ploidy from 2n2n to nn.
3
Identify the second meiotic division stage.
Secondary spermatocytes complete Meiosis II to form spherical haploid spermatids.
Sister chromatids separate during Meiosis II to yield four genetically distinct haploid cells.
4
Identify the final differentiation phase.
Spermatids undergo spermiogenesis to transform into mature spermatozoa.
Physical metamorphosis (loss of cytoplasm, formation of flagellum and acrosome) is required for motility and fertilization capability.

Key Concept

Sequence of Spermatogenesis
Estimated Time:1m 30s
Question 5185Question

In a constitutional democracy, while legal sovereignty is vested in the law-making organ that formulates statutory laws, political sovereignty ultimately resides in which of the following?

Show answer & explanation

Answer: The electorate who express their political will through elections

Answer

The electorate who express their political will through elections
Political sovereignty is the ultimate force behind the legal sovereign. In a democratic system, political sovereignty resides in the electorate because the legal sovereign (the law-making body) is held accountable to and can be replaced by the voters at elections.

Step-by-Step Solution

1
Distinguish between legal sovereignty and political sovereignty.
Legal sovereignty refers to the supreme legal power to make and enforce laws (held by the legislature/law-maker). Political sovereignty refers to the ultimate power behind the legal sovereign.
Understanding who holds supreme legal authority versus who holds ultimate electoral authority is essential in political science.
2
Determine the holder of political sovereignty in a democratic government.
In democratic states, political sovereignty is held by the electorate (citizens/voters), because their voting decisions determine who constitutes the legal sovereign body.
The legal sovereign can be altered or removed by the votes of the electorate during elections.

Key Concept

Legal Sovereignty vs. Political Sovereignty
Estimated Time:1m 0s
Question 5186Question

Which type of market is specifically concerned with the exchange of short-term financial instruments such as Treasury bills and commercial papers?

Show answer & explanation

Answer: Money market

Answer

Money market
The money market is the institution or mechanism through which short-term debt instruments with high liquidity and maturities of less than one year—such as Treasury bills, commercial papers, and call money—are traded.

Step-by-Step Solution

1
Analyze the nature of the listed instruments
Treasury bills and commercial papers are short-term financial assets with maturities under one year
Classification of financial markets depends on the maturity duration of traded instruments
2
Classify the financial market by instrument maturity
The money market is defined as the market for short-term debt instruments and liquidity management
Short-term funds are borrowed and lent exclusively in the money market

Key Concept

Classification of markets by financial instrument maturity
Question 5187Question

In an international trade model involving two nations, Country X and Country Y, the labor-hours required to produce one unit of Machinery and one unit of Fertilizer are shown in the table below:

CountryMachinery (labor-hours)Fertilizer (labor-hours)
Country X123
Country Y84

Assuming both countries trade according to the principle of comparative advantage, what is the maximum number of units of Fertilizer that Country X is willing to exchange for 11 unit of Machinery?

Show answer & explanation

Answer: 4

Answer

4 units of Fertilizer
In an input-based trade model, the domestic opportunity cost of producing 11 unit of Machinery in Country X is 12 labor-hours3 labor-hours=4 units of Fertilizer\frac{12 \text{ labor-hours}}{3 \text{ labor-hours}} = 4 \text{ units of Fertilizer}. For Country X to be willing to import Machinery rather than produce it domestically, the price of 11 unit of Machinery must not exceed its internal opportunity cost of 44 units of Fertilizer.

Step-by-Step Solution

1
Calculate the opportunity cost of Machinery in Country X using input labor-hours.
Opportunity cost of 11 unit of Machinery in Country X = 123=4\frac{12}{3} = 4 units of Fertilizer.
In input-based models, opportunity cost of Good A is the ratio of labor-hours required for Good A to labor-hours required for Good B.
2
Calculate the opportunity cost of Machinery in Country Y using input labor-hours.
Opportunity cost of 11 unit of Machinery in Country Y = 84=2\frac{8}{4} = 2 units of Fertilizer.
Determines Country Y's domestic trade-off and minimum acceptable export price.
3
Determine the maximum willingness to pay for Country X.
Maximum acceptable exchange rate = 44 units of Fertilizer per unit of Machinery.
Country X will not pay more than its internal cost to produce Machinery domestically (44 units of Fertilizer).

Key Concept

Upper and lower bounds of mutually beneficial terms of trade derived from input-based comparative advantage.
Estimated Time:2m 0s
Question 5188Question

Public enterprise reforms in Nigeria often involve either commercialization or privatization. Which of the following best describes the essential feature of commercialization?

Show answer & explanation

Answer: Retaining government ownership while reorganizing the enterprise to operate efficiently for profit

Answer

Commercialization involves retaining government ownership while reorganizing the enterprise to operate efficiently for profit.
Commercialization is a structural reform where a government-owned enterprise is restructured to run on commercial principles and generate profit while remaining fully or predominantly under government ownership.

Step-by-Step Solution

1
Define commercialization in the context of public enterprise reform.
Recognize that commercialization aims to make public corporations self-sustaining and profit-driven.
Establishing the functional goal of commercialization is essential to identify its core feature.
2
Compare asset ownership under commercialization and privatization.
Confirm that state ownership is retained in commercialization, whereas state equity is divested in privatization.
Ownership status is the main distinguishing factor between commercialization and privatization.

Key Concept

Definition and Feature of Commercialization
Estimated Time:45s
Question 5189Question

Match each pre-colonial Igbo political institution with its primary administrative or governance function.

Click a left item, then click its matching right item

Items

Village Assembly (Oha-na-eze)
Council of Elders (Ama-ala)
Age Grades (Ebiri/Ogbo)
Association of Daughters (Umuada)

Matches

Show answer & explanation

Answer

The Village Assembly (Oha-na-eze) corresponds to the direct consensus decision-making forum; the Council of Elders (Ama-ala) corresponds to the judicial and administrative body of lineage heads with the Ofo symbol; the Age Grades (Ebiri/Ogbo) correspond to the executive organ enforcing laws and public duties; and the Association of Daughters (Umuada) corresponds to the social control group mediating community disputes.
Pre-colonial Igbo political architecture was segmentary and decentralized. Power was distributed across complementary institutions: the Village Assembly provided direct consensus democracy, the Council of Elders managed administrative and judicial affairs, Age Grades handled physical enforcement and public works, and the Umuada enforced social harmony and moral standards.

Step-by-Step Solution

1
Identify the legislative and direct democratic organ of the pre-colonial Igbo community.
The Village Assembly (Oha-na-eze) enabled direct participation and consensus among adult citizens.
Igbo political organization was acephalous (stateless) and relied on direct democracy rather than centralized monarchical rule.
2
Identify the administrative and judicial role of lineage leaders.
The Council of Elders (Ama-ala) carried out governance supported by the sacred authority of the Ofo.
Lineage elders (Opara) represented family units and provided experienced judicial leadership.
3
Determine which organ handled executive enforcement and public works.
Age Grades (Ebiri/Ogbo) executed decisions passed by the assembly and elders.
Youth and adult cohorts performed policing, defense, and infrastructure maintenance.
4
Determine the judicial and social control role of women's groups.
The Umuada mediated inter-family conflicts and enforced moral discipline.
Women held specialized institutions of political authority alongside male structures in Igbo society.

Key Concept

Pre-Colonial Igbo Acephalous Governance and Division of Roles
Question 5190Question

Read the dramatic extract below:

[Scene: The palace hall. KING ADEMOLA sits upon the throne, raising a golden goblet.]
KING ADEMOLA: To total victory! Our enemies believed our water supply was poisoned, yet we drink in triumph today!
[He drinks deeply. The audience, having witnessed an assassin poison the goblet in the preceding scene, watches in silence as LORD BALOGUN enters and smiles knowingly.]

Which dramatic device is primarily operating in this scene, and how does the stagecraft enhance its efficacy?

Show answer & explanation

Answer: Dramatic irony; the stage visual of the King drinking confirms a fatal reality known only to the audience and the conspirator.

Answer

Dramatic irony; the stage visual of the King drinking confirms a fatal reality known only to the audience and the conspirator.
The extract exemplifies dramatic irony because the audience knows the goblet contains poison from the previous scene, while King Ademola remains oblivious to his impending doom. The stage direction showing him drinking deeply enhances the suspense by turning the physical action into a tragic mistake.

Step-by-Step Solution

1
Analyze the information asymmetry between the audience and the character on stage.
The audience witnessed the poison being introduced in the prior scene, whereas King Ademola believes the drink is safe.
Dramatic irony occurs when the audience possesses vital knowledge of plot circumstances that characters on stage are unaware of.
2
Examine how stage directions and stagecraft reinforce the central dramatic effect.
The visual action of King Ademola drinking deeply from the goblet while Lord Balogun smiles creates intense suspense and irony.
Stagecraft visually materializes the conflict, highlighting the gap between character perception and audience awareness.

Key Concept

Dramatic Irony and Stagecraft
Question 5191Question

Match each legislative control mechanism or function on the left with its correct operational description on the right.

Click a left item, then click its matching right item

Items

Power of the Purse
Question Time
Vote of No Confidence
Legislative Oversight

Matches

Show answer & explanation

Answer

The correct pairings are: Power of the Purse matches with the constitutional authority over budget and taxation bills; Question Time matches with the parliamentary procedure used to interrogate executive ministers; Vote of No Confidence matches with the formal motion requiring executive resignation upon majority vote; and Legislative Oversight matches with continuous monitoring of executive agencies by legislative committees.
Each term is correctly matched to its functional legislative definition: financial control is governed by the Power of the Purse; ministerial interrogation occurs during Question Time; executive termination in parliamentary systems occurs via a Vote of No Confidence; and routine agency monitoring is conducted through Legislative Oversight.

Step-by-Step Solution

1
Identify financial control functions of the legislature.
Power of the Purse corresponds to controlling state expenditures and taxation proposals.
The legislature exercises ultimate financial sovereignty over government spending.
2
Differentiate routine executive questioning from constitutional dismissal procedures.
Question Time involves routine interrogation of ministers, whereas a Vote of No Confidence can dismiss the entire government in parliamentary systems.
Each mechanism operates at different levels of legislative scrutiny and constitutional severity.
3
Associate administrative monitoring with legislative committees.
Legislative Oversight represents committee-level investigation and monitoring of policy implementation.
Committees conduct detailed investigations into executive agency operations.

Key Concept

Legislative Control Mechanisms over the Executive
Question 5192Question

Match each economic development indicator on the left with its correct defining components or primary measurement purpose on the right.

Click a left item, then click its matching right item

Items

Human Development Index (HDI)
Physical Quality of Life Index (PQLI)
Real Per Capita Income
Gini Coefficient

Matches

Show answer & explanation

Answer

Human Development Index (HDI) matches with the composite measure of life expectancy, schooling, and per capita GNI. Physical Quality of Life Index (PQLI) matches with the non-monetary measure of literacy rate, infant mortality rate, and life expectancy at age one. Real Per Capita Income matches with the quantitative metric dividing inflation-adjusted GDP by population. Gini Coefficient matches with the measurement of income inequality ranging from 0 to 1.
Each indicator is accurately matched with its core components and economic definition: Human Development Index incorporates life expectancy, schooling, and per capita GNI; Physical Quality of Life Index combines literacy, infant mortality, and life expectancy at age one; Real Per Capita Income represents inflation-adjusted GDP divided by total population; and the Gini Coefficient measures income inequality on a scale from 0 to 1.

Step-by-Step Solution

1
Identify the composition of Human Development Index (HDI).
HDI incorporates three key dimensions: health (life expectancy), education (schooling years), and command over resources (GNI per capita).
HDI is a holistic socio-economic development indicator designed by the United Nations Development Programme.
2
Identify the components of Physical Quality of Life Index (PQLI).
PQLI focuses purely on non-monetary social welfare metrics: literacy rate, infant mortality rate, and life expectancy at age one.
PQLI was created to evaluate quality of life without relying on national income figures.
3
Define Real Per Capita Income calculation and purpose.
Real Per Capita Income equals Real GDP divided by population.
Adjusting nominal output for price changes (inflation) isolates actual changes in average individual purchasing power.
4
Define the purpose of the Gini Coefficient.
Gini Coefficient quantifies income distribution inequality derived from the Lorenz curve.
Values closer to 0 reflect equal distribution, while values closer to 1 signify severe income inequality.

Key Concept

Indicators and Measurement of Economic Development
Question 5193Question

Match each political concept or feudal role in Column A with its corresponding definition in Column B.

Click a left item, then click its matching right item

Items

Communalism
Feudalism
Serf
Fief

Matches

Show answer & explanation

Answer

Communalism matches the system based on collective ownership; Feudalism matches the system based on land tenure and hierarchy; Serf matches the agricultural worker bound to a lord's estate; Fief matches the land granted by a lord to a vassal.
Communalism represents a community-centric model of shared ownership, while feudalism describes a hierarchical social structure based on land control, featuring lords, land grants (fiefs), and bonded agrarian laborers (serfs). Matching each term to its specific description accurately reflects these distinct political and economic concepts.

Step-by-Step Solution

1
Identify the defining ownership structure of communalism.
Communalism is characterized by collective, community-wide ownership of resources rather than individual or lord-controlled property.
This sets communalism apart from class-stratified economic arrangements.
2
Distinguish between the overarching system of feudalism and its specific constituent parts.
Feudalism is the broad system of reciprocal land obligations; a fief is the grant of land itself, while a serf is the laborer bound to that land.
Clarifying the roles within feudalism ensures accurate pairing of terms with their precise definitions.

Key Concept

Core concepts and structural elements of Communalism and Feudalism
Question 5194Question

An increase in the global market demand for chocolate leads to higher production targets for processing firms, which subsequently prompts cocoa farmers to hire additional farm workers. What type of demand is exhibited by farm labour in this economic scenario?

Show answer & explanation

Answer: Derived demand

Answer

Derived demand
Derived demand occurs when the demand for a factor of production or intermediate commodity arises directly from the demand for another final good or service. In this scenario, farm labour is requested because consumers want chocolate.

Step-by-Step Solution

1
Identify the relationship between the primary product and the factor of production
Farm labour is a factor of production required to cultivate cocoa, which is processed into chocolate.
Understanding why the demand for labour arose requires tracing it back to consumer demand for the final output.
2
Classify the type of interrelated demand
The demand for labour increases direct result of the increased demand for chocolate.
When the demand for a factor of production depends directly on the demand for the good or service it produces, it is defined as derived demand.

Key Concept

Derived Demand
Question 5195Question

Treasury Certificates in the money market are short-term debt instruments issued by commercial banks to provide long-term capital financing for private corporate enterprises.

Show answer & explanation

Answer: False

Answer

The statement is False. Treasury Certificates are government money market instruments issued by the Central Bank to cover short- to medium-term public budget shortfalls, not private instruments issued by commercial banks for long-term corporate financing.
The statement is false because Treasury Certificates are government debt securities issued by the Central Bank to meet government short- to medium-term funding requirements, not private securities issued by commercial banks for long-term enterprise financing.

Step-by-Step Solution

1
Identify the issuing authority of Treasury Certificates.
Treasury Certificates are issued by the Central Bank on behalf of the government.
Distinguishing public monetary instruments from commercial bank liabilities is essential in money market classification.
2
Analyze the tenure and economic function of Treasury Certificates.
They serve as short- to medium-term debt instruments (usually 1 to 2 years maturity) to fund government budget deficits.
Money market instruments address short-term liquidity needs of the public or financial sectors, whereas capital market instruments focus on long-term private capital accumulation.
3
Compare the attributes in the statement against official monetary definitions.
The statement incorrectly claims that commercial banks issue them for private long-term capital.
The issuer (Central Bank vs commercial banks), target sector (public vs private corporate), and market scope (money market liquidity vs long-term capital) are incorrectly stated.

Key Concept

Money Market Instruments: Treasury Certificates vs Private Capital Market Securities
Estimated Time:1m 30s
Question 5196Question

In the long-run equilibrium of a perfectly competitive market, a firm earns supernormal profit because price exceeds average total cost.

Show answer & explanation

Answer: False

Answer

False. In the long-run equilibrium of a perfectly competitive market, firms earn only normal profit (zero economic profit) because price equals minimum average total cost (P=ATCP = \text{ATC}).
The statement is false because free entry and exit under perfect competition drive economic profit down to zero in the long run. At long-run equilibrium, price equals minimum average total cost (P=ATCP = \text{ATC}), so firms make only normal profit.

Step-by-Step Solution

1
Examine the role of entry and exit in a perfectly competitive market.
Freedom of entry allows new firms to join the market whenever short-run economic profits exist (P>ATCP > \text{ATC}).
New entry increases industry supply and lowers market price.
2
Determine the long-run equilibrium price and profit state.
Price drops until P=ATCP = \text{ATC}, where economic profit becomes zero.
Firms achieve long-run equilibrium earning only normal profit.

Key Concept

Long-Run Equilibrium under Perfect Competition
Estimated Time:45s
Question 5197Question

A newly independent nation adopted a written constitution featuring multi-party elections, an independent judiciary, and a bill of rights. However, within two years, the democratic governance collapsed into authoritarianism due to widespread political intolerance, severe economic instability, and low civic literacy among the populace. Which of the following principles best explains why democratic governance failed despite the presence of constitutional institutions?

Show answer & explanation

Answer: Formal institutional frameworks alone cannot sustain democracy without essential social, economic, and political prerequisites.

Answer

Formal institutional frameworks alone cannot sustain democracy without essential social, economic, and political prerequisites.
Democracy is not merely a set of formal institutions like elections and written constitutions; its success depends heavily on underlying prerequisites. These include high levels of literacy, political tolerance, economic security, an informed citizenry, and democratic political culture. When these prerequisites are absent, formal constitutional arrangements are vulnerable to collapse.

Step-by-Step Solution

1
Analyze the political scenario described in the stem.
Identified that formal democratic structures (constitution, multi-party elections, judiciary) were present, but democratic culture (tolerance, literacy, economic stability) was absent.
Determining the cause of failure requires distinguishing between democratic structures/features and democratic prerequisites.
2
Evaluate the concepts of Democracy: Features vs. Prerequisites.
Essential features include periodic elections and rule of law, while prerequisites include high literacy, political culture/tolerance, free press, and economic stability.
Without essential prerequisites, formal democratic features often break down or lead to democratic backsliding.
3
Select the option that correctly identifies the underlying cause of failure.
The statement emphasizing that institutional frameworks require social, economic, and political prerequisites to operate effectively is correct.
Democracy cannot survive purely on legal text without a supporting socio-political environment.

Key Concept

Prerequisites for Successful Democracy
Question 5198Question

In the industrial Contact Process, sulfur(VI) oxide (SO3SO_3) is hydrated to form tetraoxosulfate(VI) acid (H2SO4H_2SO_4). What volume of SO3SO_3 gas, measured in dm3\text{dm}^3 at s.t.p., is theoretically required to produce 196 g196\text{ g} of pure H2SO4H_2SO_4? [Molar volume of gas at s.t.p. = 22.4 dm3mol122.4\text{ dm}^3\text{mol}^{-1}, H=1.0H = 1.0, S=32.0S = 32.0, O=16.0O = 16.0]

Show answer & explanation

Answer: 44.8

Answer

44.8 dm³
The molar mass of H2SO4H_2SO_4 is 98.0 g mol198.0\text{ g mol}^{-1}, so 196 g196\text{ g} corresponds to 2.0 moles2.0\text{ moles}. According to the equation SO3+H2OH2SO4SO_3 + H_2O \rightarrow H_2SO_4, 1 mole1\text{ mole} of SO3SO_3 yields 1 mole1\text{ mole} of H2SO4H_2SO_4. Therefore, 2.0 moles2.0\text{ moles} of SO3SO_3 gas is needed, which occupies 2.0×22.4 dm3=44.8 dm32.0 \times 22.4\text{ dm}^3 = 44.8\text{ dm}^3 at s.t.p.

Step-by-Step Solution

1
Calculate the molar mass of tetraoxosulfate(VI) acid (H2SO4H_2SO_4).
Molar mass of H2SO4=2(1.0)+32.0+4(16.0)=98.0 g mol1\text{Molar mass of } H_2SO_4 = 2(1.0) + 32.0 + 4(16.0) = 98.0\text{ g mol}^{-1}.
Essential to convert mass of acid to chemical amount in moles.
2
Calculate the number of moles of H2SO4H_2SO_4 in 196 g196\text{ g}.
Moles of H2SO4=196 g98.0 g mol1=2.0 mol\text{Moles of } H_2SO_4 = \frac{196\text{ g}}{98.0\text{ g mol}^{-1}} = 2.0\text{ mol}.
Finds the quantitative molar requirement.
3
Calculate the required volume of SO3SO_3 gas at s.t.p.
Volume of SO3=2.0 mol×22.4 dm3mol1=44.8 dm3\text{Volume of } SO_3 = 2.0\text{ mol} \times 22.4\text{ dm}^3\text{mol}^{-1} = 44.8\text{ dm}^3.
Based on the 1:1 mole ratio of SO3SO_3 to H2SO4H_2SO_4 and standard molar gas volume.

Key Concept

Molar gas volume and stoichiometric relationships in the Contact Process
Question 5199Question

In political science and constitutional studies, sovereignty manifests across distinct legal, practical, and international dimensions. Match each dimension of sovereignty listed under Column A with its defining characteristic or operational reality under Column B.

Click a left item, then click its matching right item

Items

Political Sovereignty
External Sovereignty
De Facto Sovereignty
Legal Sovereignty

Matches

Show answer & explanation

Answer

Political Sovereignty matches with the supreme power of the electorate to determine political leadership through suffrage; External Sovereignty matches with the legal independence of a state from foreign dictation; De Facto Sovereignty matches with the actual exercise of coercive control acquired through force; Legal Sovereignty matches with the constitutional authority recognized as possessing ultimate power to enact binding laws.
Each type of sovereignty corresponds to a distinct political dimension: Political sovereignty is held by the electorate; External sovereignty represents international independence; De Facto sovereignty is practical physical control without legal legitimacy; and Legal sovereignty is the supreme constitutional law-making authority.

Step-by-Step Solution

1
Analyze Political Sovereignty vs. Legal Sovereignty
Political sovereignty reflects the electorate's democratic mandate, while legal sovereignty refers to the supreme legislative body empowered by the constitution.
Differentiating democratic political influence from formal legislative supremacy is essential.
2
Distinguish De Facto Sovereignty from De Jure Sovereignty
De facto sovereignty depends purely on factual control and physical authority regardless of constitutional law.
Real-world power acquisition (such as coup d'état regimes) operates without legal de jure authorization.
3
Identify External Sovereignty
External sovereignty defines statehood in international law as non-subordination to foreign powers.
Internal sovereignty controls citizens inside borders, whereas external sovereignty establishes freedom from external intervention.

Key Concept

Classification and Dimensions of Sovereignty
Question 5200Question

In a direct democracy, citizens elect legislative representatives to formulate laws and execute public policies on their behalf.

Show answer & explanation

Answer: False

Answer

The statement is false. Direct democracy entails immediate and personal participation of citizens in governance and law-making, whereas governance through elected representatives describes indirect or representative democracy.
The statement is false because direct democracy requires citizens to vote directly on laws and governance matters themselves. Electing representatives to make decisions on behalf of the populace defines indirect or representative democracy.

Step-by-Step Solution

1
Examine the definition and core mechanism of direct democracy.
Direct democracy requires citizens to vote directly on laws, policies, and public decisions (such as in ancient Athens or via modern referendums).
Establishing the operational definition of direct democracy is required to test the assertion.
2
Compare direct democracy against representative (indirect) democracy.
Electing proxies or legislative representatives to act on behalf of the electorate is the core mechanism of representative democracy.
Differentiating between direct and indirect forms shows that the stem incorrectly attributes representative features to direct democracy.

Key Concept

Forms of Democracy: Direct vs. Indirect (Representative) Democracy
Estimated Time:1m 0s
PreviousPage 260 / 697Next
All practice questions — JAMB UTME | Examkin