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Question 5301Question →

An ideal gas occupies a volume of 0.05 m30.05\text{ m}^3 inside a rigid container. If the gas exerts a pressure of 2.4×105 N m−22.4 \times 10^5\text{ N m}^{-2} on the walls of the container, what is the total translational kinetic energy of the gas molecules in joules?

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Answer: 18000

Answer

The total translational kinetic energy of the gas molecules is 18000 J18000\text{ J}.
According to the kinetic theory of gases, the pressure PP of an ideal gas is related to its total translational kinetic energy EkE_k and volume VV by P=23EkVP = \frac{2}{3} \frac{E_k}{V}. Rearranging for EkE_k gives Ek=32PVE_k = \frac{3}{2} P V. Substituting P=2.4×105 N m−2P = 2.4 \times 10^5\text{ N m}^{-2} and V=0.05 m3V = 0.05\text{ m}^3 yields Ek=32×2.4×105×0.05=18000 JE_k = \frac{3}{2} \times 2.4 \times 10^5 \times 0.05 = 18000\text{ J}.

Step-by-Step Solution

1
Identify the relationship between gas pressure, volume, and translational kinetic energy from kinetic theory.
P=23(EkV)  ⟹  Ek=32PVP = \frac{2}{3} \left(\frac{E_k}{V}\right) \implies E_k = \frac{3}{2} P V
From kinetic theory, pressure is two-thirds of the total translational kinetic energy per unit volume.
2
Substitute the provided numerical values into the equation.
Ek=32×(2.4×105 N m−2)×(0.05 m3)E_k = \frac{3}{2} \times (2.4 \times 10^5\text{ N m}^{-2}) \times (0.05\text{ m}^3)
The given values are pressure P=2.4×105 N m−2P = 2.4 \times 10^5\text{ N m}^{-2} and volume V=0.05 m3V = 0.05\text{ m}^3.
3
Evaluate the expression to determine the numerical result.
Ek=1.5×12000=18000 JE_k = 1.5 \times 12000 = 18000\text{ J}
Multiplying the values gives the energy in Joules.

Key Concept

Relationship between pressure, volume, and total translational kinetic energy of gas molecules (Ek=32PVE_k = \frac{3}{2} P V).
Question 5302Question →

Under the 1999 Constitution of the Federal Republic of Nigeria (as amended), sitting executive officers such as the President and State Governors cannot be subjected to criminal prosecution while in office. Which core principle of the Rule of Law is most directly limited by this constitutional provision?

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Answer: Equality before the law, as sitting executive officials are temporarily shielded from standard criminal prosecution.

Answer

Equality before the law, as sitting executive officials are temporarily shielded from standard criminal prosecution.
Executive immunity temporarily suspends criminal litigation against elected executive heads during their tenure in office. This constitutes a recognized constitutional limitation to the Rule of Law principle of equality before the law, which asserts that all individuals should be equally accountable before ordinary courts of law.

Step-by-Step Solution

1
Define the core principle of equality before the law under A.V. Dicey's Rule of Law formulation.
Equality before the law requires that all citizens, regardless of rank or position, are subject to the same ordinary laws enforced by ordinary courts.
Establishing the standard baseline of equality is required before identifying how constitutional provisions modify it.
2
Analyze the scope and intent of the executive immunity clause (Section 308 of the 1999 Nigerian Constitution).
Immunity prevents civil or criminal court summons, arrests, or prosecutions against sitting Presidents, Vice-Presidents, Governors, and Deputy Governors.
This protection ensures that executive leaders can perform official duties without continuous legal harassment during their tenure.
3
Determine which Rule of Law principle is limited by this mechanism.
It directly limits equality before the law by creating a temporary legal distinction between ordinary citizens and executive officers while in office.
The limitation is procedural and temporary, balancing the ideal of legal equality with governance stability.

Key Concept

Executive Immunity as a Constitutional Limitation to Equality Before the Law
Estimated Time:1m 0s
Question 5303Question →

A manufacturing firm increases all of its production inputs by 50%50\%. Consequently, its total output expands by 75%75\%. Which of the following best describes the firm's long-run production condition?

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Answer: The firm is experiencing increasing returns to scale.

Answer

The firm is experiencing increasing returns to scale.
In long-run production, when all inputs are increased by a given percentage (50%50\%) and total output increases by a greater percentage (75%75\%), the firm experiences increasing returns to scale.

Step-by-Step Solution

1
Identify the time horizon and input changes
All production inputs are variable and scaled up simultaneously by 50%50\%.
Evaluating long-run production involves changing the scale of all factors of production.
2
Compare output growth to input growth
Percentage increase in output (75%75\%) is greater than the percentage increase in inputs (50%50\%).
Returns to scale compare the proportionate change in output with an equiproportionate change in all inputs.
3
Determine the economic classification
The firm exhibits increasing returns to scale.
An output expansion that exceeds the proportionate input increase defines increasing returns to scale.

Key Concept

Returns to scale in long-run production
Estimated Time:1m 0s
Question 5304Question →

In the industrial extraction of iron from haematite (Fe2O3Fe_2O_3) in a blast furnace, which chemical species acts as the primary reducing agent for reducing iron(III) oxide in the upper zone of the furnace?

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Answer: Carbon(II) oxide (COCO)

Answer

Carbon(II) oxide (COCO)
Gaseous carbon(II) oxide (COCO) is the primary reducing agent in the upper, cooler region of the blast furnace. It reduces iron(III) oxide (Fe2O3Fe_2O_3) to iron according to the reaction equation Fe2O3(s)+3CO(g)→2Fe+3CO2(g)Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe + 3CO_2(g).

Step-by-Step Solution

1
Identify the chemical reactions producing reducing species in the blast furnace.
Coke reacts with oxygen to form carbon(IV) oxide, which is subsequently reduced by excess hot coke higher up in the furnace to yield carbon(II) oxide (CO2+C→2COCO_2 + C \rightarrow 2CO).
Gaseous carbon(II) oxide rises through the furnace and comes into intimate contact with descending iron ore.
2
Analyze the reduction step of haematite in the upper zone.
Gaseous COCO reduces Fe2O3Fe_2O_3 via the reaction Fe2O3(s)+3CO(g)→2Fe(s/l)+3CO2(g)Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s/l) + 3CO_2(g).
Carbon(II) oxide is a powerful gaseous reducing agent at the moderate temperatures (400°C–700°C) found near the top of the furnace.

Key Concept

General Principles of Metallurgy and Metal Extraction - Reduction of Iron Ore in the Blast Furnace
Estimated Time:1m 0s
Question 5305Question →

A commercial rice miller in Kano increased monthly production from 500500 bags to 750750 bags after the market price of rice rose from N35,000\text{N}35,000 to N48,000\text{N}48,000 per bag, while technology and input prices remained unchanged. Which of the following best describes this scenario?

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Answer: An increase in quantity supplied represented by a movement along the existing supply curve.

Answer

An increase in quantity supplied represented by a movement along the existing supply curve.
The scenario describes a producer increasing output in response solely to a higher market price for the product while all non-price factors remain constant. According to the law of supply, this price-driven adjustment is an increase in quantity supplied, represented graphically as a upward movement along the existing supply curve.

Step-by-Step Solution

1
Identify the cause of the change in production volume.
Production increased from 500500 to 750750 bags in direct response to a rise in the market price of rice from N35,000\text{N}35,000 to N48,000\text{N}48,000.
Price change of the commodity itself is the independent variable.
2
Check for non-price conditions.
Technology and input prices remained unchanged (ceteris paribus condition holds).
This isolates the price effect from non-price supply shifts.
3
Apply economic concepts to determine the graphical representation.
A change in the price of the good itself causes a movement along the supply curve (change in quantity supplied), rather than a shift of the curve.
The law of supply states that price and quantity supplied are directly related, ceteris paribus.

Key Concept

Difference between a change in quantity supplied (movement along the curve due to price changes) and a change in supply (shift of the curve due to non-price factors).
Question 5306Question →

Arrange the following key historical events in the transition process that led to the establishment of Nigeria's Second Republic and the adoption of the 1979 Presidential Constitution in correct chronological order, from earliest to latest.

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Answer

The correct chronological sequence is: (1) Appointment of the Constitution Drafting Committee, (2) Inauguration of the Constituent Assembly, (3) Promulgation of the 1979 Constitution by the Supreme Military Council, and (4) Official inauguration of the Second Republic.
The transition process leading to Nigeria's Second Republic followed a strict sequence: the Constitution Drafting Committee was established in 1975 to produce a draft; the Constituent Assembly was convened in 1977 to review and amend the draft; the Supreme Military Council enacted the final text into law in September 1978; and finally, civilian government was restored on October 1, 1979, with the inauguration of the Second Republic.

Step-by-Step Solution

1
Identify the initial step of the transition program announced in 1975.
The Constitution Drafting Committee (CDC) was set up in 1975 to prepare the initial constitutional draft.
Drafting the proposed constitutional framework was the foundation of the transition plan.
2
Determine the representative body formed to debate the draft document.
The Constituent Assembly (CA) met in 1977–1978 to review and debate the CDC draft.
Public debate and representative approval of the draft document took place after drafting.
3
Identify the legal enactment step taken by the ruling military body.
The Supreme Military Council (SMC) formally enacted the constitution in September 1978.
The military government had to legally decree the constitution before general elections could establish the new government.
4
Identify the culmination event marking the handover of executive authority.
The Second Republic was officially inaugurated on October 1, 1979.
Swearing in the elected Executive President brought the 1979 Constitution into force.

Key Concept

Chronological Sequence of the 1979 Constitutional Transition Process
Question 5307Question →

Match each Nigerian agricultural policy initiative on the left with its core operational strategy or focal mechanism on the right.

Click a left item, then click its matching right item

Items

Green Revolution Program (1980)
Directorate of Food, Roads and Rural Infrastructures (DFRRI - 1986)
Agricultural Transformation Agenda (ATA - 2011)
Anchor Borrowers' Programme (ABP - 2015)

Matches

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Answer

The Green Revolution Program matches with large-scale input distribution and mechanization; DFRRI matches with feeder road construction and rural infrastructure development; the Agricultural Transformation Agenda matches with the e-wallet Growth Enhancement Support Scheme for input delivery; and the Anchor Borrowers' Programme matches with connecting smallholder farmers to anchor agro-processors via Central Bank credit.
Each agricultural initiative is accurately matched with its core operational strategy: the Green Revolution Program focused on increasing food production through agricultural mechanization and improved seeds; DFRRI focused on building rural feeder roads and basic infrastructure to ease crop transportation; the Agricultural Transformation Agenda introduced the e-wallet system to subsidize agricultural inputs directly to farmers; and the Anchor Borrowers' Programme linked smallholder farmers to large-scale agro-processors with credit backing from the Central Bank of Nigeria.

Step-by-Step Solution

1
Analyze the primary focus of the Green Revolution Program (1980).
It focused on mass crop productivity through farm mechanization and high-yielding inputs.
The Shagari administration established this initiative to achieve food self-sufficiency.
2
Identify the mandate of DFRRI (1986).
It focused on feeder roads and rural infrastructural opening.
DFRRI was created under the Babangida administration to tackle rural isolation and post-harvest evacuation constraints.
3
Examine the signature mechanism of the Agricultural Transformation Agenda (2011).
It introduced the e-wallet subsidized input distribution scheme.
The Growth Enhancement Support Scheme (GESS) used mobile technology to deliver input vouchers directly to farmers.
4
Determine the strategy of the Anchor Borrowers' Programme (2015).
It linked smallholders to anchor processors with CBN finance.
ABP creates value-chain integration by pairing smallholder producers with commercial off-takers.

Key Concept

Historical and Contemporary Agricultural Policies and Initiatives in Nigeria
Question 5308Question →

A student set up an experiment to observe hypogeal germination in a maize seed (*Zea mays*). In which chronological sequence do the following physiological and morphological events occur during this growth process?

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Answer

The correct developmental sequence for hypogeal germination is: (1) Imbibition of water through the micropyle, (2) Emergence of the radicle growing downwards, (3) Rapid elongation of the epicotyl pushing the plumule upward, and (4) Rupture of the protective coleoptile by expanding foliage leaves.
Germination starts with water imbibition via the micropyle, activating metabolic enzymes. The radicle emerges first to establish root anchorage and water uptake. Following this, epicotyl elongation pushes the protective coleoptile and plumule upward through the soil. Finally, exposure to light stimulates the first foliage leaves to rupture the coleoptile and unroll for photosynthesis.

Step-by-Step Solution

1
Identify the initial physical trigger required for seed metabolism.
Water imbibition occurs first, swelling the endosperm and activating digestive enzymes.
Metabolic processes and cell expansion cannot take place in dry seed tissues.
2
Determine the first embryonic organ to pierce the seed coat.
The radicle emerges downwards into the soil to form the primary root system.
Anchorage and water absorption are necessary before shoot growth commences.
3
Analyze shoot elongation specific to hypogeal germination.
The epicotyl elongates, carrying the sheath-enclosed plumule upward while the cotyledon stays below ground.
Hypocotyl growth is minimal in hypogeal germination, keeping the food storage organ underground.
4
Identify the final step in establishing autotrophic seedling growth.
Foliage leaves break out of the coleoptile upon reaching light and expand to photosynthesize.
This completes seedling development and transitions the plant to independent energy production.

Key Concept

Sequence of events in hypogeal seed germination
Estimated Time:1m 30s
Question 5309Question →

A poultry farmer in Ogun State increases weekly egg production from 150150 crates to 220220 crates following an increase in market price from N2,000\text{N}2,000 to N2,800\text{N}2,800 per crate, while input costs remain constant. Which of the following economic principles is directly illustrated by the farmer's behavior?

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Answer: The law of supply, which establishes a direct relationship between price and quantity supplied

Answer

The farmer's behavior illustrates the law of supply, which states that, ceteris paribus, higher prices lead to an increase in quantity supplied.
The correct answer states the law of supply. When price increases while other conditions remain unchanged (ceteris paribus), profit-maximizing producers are willing to supply a greater quantity, demonstrating a direct (positive) relationship between price and quantity supplied.

Step-by-Step Solution

1
Analyze the change described in the scenario
Market price rose from N2,000\text{N}2,000 to N2,800\text{N}2,800, and the farmer's quantity offered increased from 150150 to 220220 crates.
Identifying the variable causing the reaction (price) and the response variable (quantity supplied).
2
Apply economic concepts of supply
Because price and quantity supplied move in the same direction while other factors remain constant (ceteris paribus), this represents a movement along the supply curve.
The law of supply states that price and quantity supplied are directly related.

Key Concept

Law of Supply
Estimated Time:1m 0s
Question 5310Question →

A state governor in a constitutional democracy is accused of financial misappropriation while serving in office. A citizens' coalition files a lawsuit demanding immediate criminal prosecution, arguing that delaying charges violates the constitutional principle of equality before the law. Which of the following legal principles best explains why the court would dismiss the suit during the governor's tenure?

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Answer: Constitutional immunity suspends criminal prosecution during tenure to ensure governance stability, serving as a temporary procedural shield rather than a permanent exemption from the law.

Answer

Constitutional immunity suspends criminal prosecution during tenure to ensure governance stability, serving as a temporary procedural shield rather than a permanent exemption from the law.
The correct answer accurately identifies executive immunity as a temporary procedural mechanism aimed at ensuring effective governance, preserving ultimate equality under the law because prosecution remains possible after office tenure ends.

Step-by-Step Solution

1
Examine the constitutional role of executive immunity clauses.
Immunity protects key elected executives (such as Presidents and Governors) from prosecution while in office.
This protection prevents executive distraction caused by legal proceedings during public administration.
2
Analyze how executive immunity interacts with equality before the law under the Rule of Law.
Immunity is procedural and temporary, not substantive.
Full legal accountability resumes once the official completes their term, upholding constitutional equality in the long run.

Key Concept

Executive Immunity and Constitutional Equality
Estimated Time:1m 30s
Question 5311Question →

Match each literary excerpt below to the figure of speech (trope) it primarily demonstrates.

Click a left item, then click its matching right item

Items

"The sun was a golden coin shining in the afternoon sky."
"Her laughter rang across the room like silver bells."
"The angry sea crashed violently against the helpless shore."

Matches

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Answer

The excerpt comparing the sun directly to a golden coin matches Metaphor. The excerpt comparing laughter to silver bells using 'like' matches Simile. The excerpt giving human anger to the sea matches Personification.
Each excerpt matches its corresponding device based on defining features: direct comparison without comparative markers defines metaphor, explicit comparison using 'like' defines simile, and assigning human emotion to nature defines personification.

Step-by-Step Solution

1
Analyze the first excerpt: 'The sun was a golden coin shining in the afternoon sky.'
Identified a direct comparison between two unlike things without 'like' or 'as'.
Direct identification/substitution of one thing for another is a metaphor.
2
Analyze the second excerpt: 'Her laughter rang across the room like silver bells.'
Identified an explicit comparison using the preposition 'like'.
Comparisons using connective words 'like' or 'as' are similes.
3
Analyze the third excerpt: 'The angry sea crashed violently against the helpless shore.'
Identified human qualities ('angry', 'helpless') attributed to natural features.
Giving human characteristics or feelings to non-human elements is personification.

Key Concept

Distinguishing basic tropes: Metaphor (direct comparison), Simile (explicit comparison using like/as), and Personification (attributing human qualities to non-humans).
Question 5312Question →

Match each commercial banking function or credit creation concept with its corresponding description or formula.

Click a left item, then click its matching right item

Items

Credit Multiplier
Primary Function
Cash Reserve Ratio
Agency Service

Matches

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Answer

Credit Multiplier matches with 'The reciprocal of the cash reserve ratio (1/CRR1 / \text{CRR}) indicating potential deposit expansion'; Primary Function matches with 'Accepting demand deposits and granting loans or advances to borrowers'; Cash Reserve Ratio matches with 'The legally mandated fraction of total deposits that commercial banks must hold in reserve'; Agency Service matches with 'Executing standing orders and collecting dividends on behalf of customers'.
Credit Multiplier is the reciprocal of the cash reserve ratio (1/CRR1 / \text{CRR}). Primary functions of commercial banks include accepting deposits and advancing loans. The Cash Reserve Ratio is the required proportion of total deposits held as cash or reserves. Agency services involve representative tasks executed for account holders, such as paying standing orders or collecting dividends.

Step-by-Step Solution

1
Define the mathematical concept of credit expansion
Credit Multiplier equals 1/CRR1 / \text{CRR}, which determines how much total credit can be created from an initial deposit.
This establishes the quantitative relationship in money creation.
2
Classify core banking operations
Accepting deposits and lending constitute primary functions.
Primary functions define the foundational business model of commercial banks.
3
Identify regulatory reserve constraints
Cash Reserve Ratio is the required statutory reserve percentage.
It sets the legal limit on banks' ability to create credit.
4
Categorize secondary client services
Collecting dividends and processing standing orders are agency services.
These are representative services performed by the bank on behalf of account holders.

Key Concept

Commercial Bank Functions and Credit Creation
Question 5313Question →

In the pre-colonial Hausa-Fulani judicial system, legal disputes and appeals were handled through a defined hierarchical structure. Arrange the following administrative and judicial authorities in ascending order from the lowest level of dispute resolution to the highest court of final appeal.

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Answer

The correct sequence from lowest to highest judicial authority is: Village Head (Gunduma), followed by the Alkali Court, and culminating in the Emir's Court.
In the pre-colonial Hausa-Fulani judicial system, disputes proceeded in a clear hierarchy: minor disputes were settled informally at the local community level by the Village Head, formal legal trials under Sharia were conducted by the Alkali, and complex land disputes or appeals reached the Emir's Court as the highest court.

Step-by-Step Solution

1
Identify the primary local dispute resolution level
The Village Head (Gunduma) represents the grass-root authority handling minor local grievances.
Local reconciliation occurs at the community level before proceeding to formal courts.
2
Identify the formal Islamic judicial magistrate
The Alkali Court serves as the principal formal court of first instance for civil and criminal cases under Sharia.
The Alkali is a specialized Islamic legal scholar empowered to judge formal legal matters.
3
Identify the highest appellate authority
The Emir's Court acts as the final appellate body and court for serious crimes.
The Emir possesses executive leadership and final judicial power across the emirate.

Key Concept

Judicial Appeals Hierarchy in the Hausa-Fulani Pre-Colonial System
Question 5314Question →

In traditional Igbo political governance, public decisions and laws were maintained through various decentralized organs. Which social institution held the unique authority to enforce difficult judicial decisions and execute binding sanctions under the cover of masked, ancestral spirit identity?

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Answer: The secret societies and cults

Answer

The secret societies and cults
In pre-colonial Igbo political administration, secret societies (such as Mmanwu or Ekpe) possessed the supreme judicial function of enforcing difficult decisions and applying sanctions. Because members acted under the veil of ancestral spirits, their enforcement carried unquestioned spiritual authority and prevented inter-lineage conflict or personal retribution.

Step-by-Step Solution

1
Identify the functional role described in the stem (enforcing judicial decisions under masked ancestral identity).
Secret societies and cults (such as Mmanwu and Ekpe) performed this role by acting as impersonators of ancestors, granting their decrees supernatural legitimacy.
Because Igbo pre-colonial society was segmentary and acephalous, masked secret societies provided impartial enforcement mechanisms immune to inter-family feuds.
2
Differentiate secret societies from other traditional Igbo organs.
Ozo title holders provided moral and political leadership, age grades focused on community labor and general physical security, while warrant chiefs were an artificial British colonial creation.
Correctly distinguishing the specific institutional mandate of each organ confirms the unique judicial enforcement role of secret cults.

Key Concept

Roles of Secret Cults in Pre-Colonial Igbo Governance
Question 5315Question →

Which of the following was a central feature of the French colonial policy of Assimilation in West Africa?

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Answer: Converting African subjects into full French citizens by requiring them to adopt French language and culture

Answer

Converting African subjects into full French citizens by requiring them to adopt French language and culture
The French policy of Assimilation was rooted in the concept of French cultural dominance, aiming to completely integrate colonized Africans by granting them full citizenship rights once they adopted the French language, dress, customs, and legal standards.

Step-by-Step Solution

1
Identify the core ideological goal of the French Assimilation policy
The policy was grounded in the ideological belief of French cultural superiority and aimed to turn colonial subjects into French citizens (citoyens).
Assimilation assumed African cultures were primitive and sought to substitute French culture, language, laws, and political rights.
2
Distinguish Assimilation from other administrative policies
Unlike Indirect Rule (which preserved native authorities) or federalism (which decentralized authority), Assimilation enforced cultural unification and direct centralized administration.
Recognizing key policy traits prevents confusing British indirect rule features with French direct assimilation methods.

Key Concept

French Policy of Assimilation
Estimated Time:45s
Question 5316Question →

Under constitutionalism and the Rule of Law, an executive immunity clause shields designated public officials from legal proceedings during their term of office, thereby permanently granting them absolute exemption from criminal liability for offenses committed while in power.

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Answer: False

Answer

False. Executive immunity provides temporary procedural protection during an official's tenure, not permanent or absolute exemption from criminal liability.
The statement is false because executive immunity clauses (such as Section 308 of the 1999 Constitution of Nigeria) provide temporary protection from legal prosecution to ensure governance stability, rather than granting permanent personal exemption from criminal law.

Step-by-Step Solution

1
Examine the scope and constitutional purpose of executive immunity.
Executive immunity suspends civil and criminal court proceedings against key executive officers (such as the President or Governors) while they serve in office.
This protection ensures that executive governance is not crippled by frivolous litigation or malicious legal distractions.
2
Analyze whether this protection alters personal criminal liability under the Rule of Law.
The Rule of Law dictates equality before the law. Immunity merely delays judicial proceedings; it does not pardon or extinguish criminal culpability.
Upon expiration of tenure, statutory limitations resume, allowing law enforcement agencies to investigate and prosecute former officials for acts committed while in office.

Key Concept

Executive Immunity vs. Equality Before the Law
Estimated Time:1m 30s
Question 5317Question →

Match each pre-colonial Igbo governance institution on the left with its principal socio-political function or constitutional authority on the right.

Click a left item, then click its matching right item

Items

Age Grades (Uke / Ebiri)
Ozo Title Holders (Ndi Nze)
Secret Cults (Mmanwu / Ekpe)
Council of Lineage Heads (Ama-ala)

Matches

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Answer

Age Grades match with public execution and community policing; Ozo Title Holders match with moral leadership and unbiased arbitration; Secret Cults match with masked enforcement of tough judicial sanctions; Council of Lineage Heads matches with legislative decision-making through consensus.
In pre-colonial Igbo acephalous political administration, power was diffused among functional groups. Age Grades provided executive enforcement and community labor; Ozo Title Holders exercised moral leadership and arbitration; Secret Cults enforced controversial judicial sanctions behind masked anonymity; and the Council of Lineage Heads served as the principal legislative body.

Step-by-Step Solution

1
Identify the executive role of Age Grades in Igbo governance.
Age Grades (Uke/Ebiri) supplied physical labor, village security, and enforced laws passed by elders.
Younger age cohorts formed the active executive organ of the acephalous polity.
2
Determine the constitutional position of Ozo Title Holders.
Ozo Title Holders (Ndi Nze) represented moral integrity and elite advisory authority.
Title-taking rituals demanded high ethical standards, making title holders natural peace-makers and judicial arbitrators.
3
Assess the judicial and spiritual authority of Secret Cults.
Secret Cults (Mmanwu/Ekpe) executed coercive sanctions under supernatural cover.
Masked entities transcended familial ties, allowing impartial enforcement of harsh penalties.
4
Examine the legislative authority of the Council of Lineage Heads.
Ama-ala served as the core representative assembly for law-making.
Lineage heads (Opara) gathered to discuss and agree upon community laws via direct consensus.

Key Concept

Division of institutional responsibilities in pre-colonial Igbo decentralized democracy
Question 5318Question →

In herbivorous mammals such as rabbits and sheep, a prominent toothless gap called a diastema separates the front incisors from the cheek teeth. What is the primary physiological function of the diastema during feeding?

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Answer: It provides a space for the tongue to manipulate, rotate, and hold food while grinding occurs at the molars.

Answer

The primary physiological function of the diastema is to provide a space for the tongue to manipulate and maneuver food during chewing.
The correct answer highlights the mechanical function of the diastema. In herbivores, this toothless gap gives the tongue sufficient space to manipulate plant material, pushing extra food into the cheek pockets or turning food onto the grinding surfaces of the premolars and molars.

Step-by-Step Solution

1
Identify the anatomical structure described in the stem.
The diastema is a toothless gap naturally located between the front cropping teeth (incisors) and back grinding teeth (premolars and molars) in many herbivores.
Understanding anatomical position helps determine its mechanical role.
2
Analyze the functional role of the mouth and tongue during herbivore mastication.
Herbivores need to gather vegetation with incisors and move it back to the molars without interfering with ongoing grinding.
The gap allows the tongue to manipulate, push, and turn unchewed plant material efficiently.

Key Concept

Mammalian Dentition and Feeding Adaptations
Estimated Time:1m 0s
Question 5319Question →

Arrange the following sequential steps involved in the industrial production of sodium trioxocarbonate(IV) (Na2CO3\text{Na}_2\text{CO}_3) via the Solvay process in the correct chronological order from first to last.

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Answer

The correct sequence starts with saturating brine with ammonia, bubbling carbon dioxide to precipitate sodium hydrogen trioxocarbonate(IV), filtering the precipitate, and finally heating (calcinating) the sodium hydrogen trioxocarbonate(IV) to produce sodium trioxocarbonate(IV).
The Solvay process begins by dissolving ammonia gas into brine (concentrated NaCl\text{NaCl}) to form ammoniacal brine. Next, carbon dioxide gas is bubbled through this mixture to precipitate sodium hydrogen trioxocarbonate(IV) (NaHCO3\text{NaHCO}_3). The solid precipitate is then separated by filtration. Finally, the dried NaHCO3\text{NaHCO}_3 is subjected to thermal decomposition (calcination) to produce sodium trioxocarbonate(IV) (Na2CO3\text{Na}_2\text{CO}_3).

Step-by-Step Solution

1
Identify the primary raw preparation step
Ammonia gas is dissolved in concentrated sodium chloride solution (brine) to create ammoniacal brine.
Ammonia acts as a base and reacts with carbon dioxide in the subsequent step to form hydrogen trioxocarbonate ions.
2
Identify the carbonation and precipitation step
Carbon dioxide gas is passed through the ammoniacal brine in a carbonating tower.
The reaction produces ammonium chloride (NH4Cl\text{NH}_4\text{Cl}) and sodium hydrogen trioxocarbonate (NaHCO3\text{NaHCO}_3), which precipitates because of its low solubility in cold brine solution.
3
Identify the solid-liquid separation step
The mixture is filtered to isolate the solid NaHCO3\text{NaHCO}_3 crystals from the solution containing NH4Cl\text{NH}_4\text{Cl}.
Filtration separates the insoluble sodium intermediate prior to thermal conversion.
4
Identify the final chemical transformation step
The filtered NaHCO3\text{NaHCO}_3 is heated (calcinated) at around 300∘C300^\circ\text{C} to form Na2CO3\text{Na}_2\text{CO}_3, H2O\text{H}_2\text{O}, and CO2\text{CO}_2.
Thermal decomposition yields the target sodium trioxocarbonate(IV) product while recycling CO2\text{CO}_2 back into the carbonating tower.

Key Concept

The Solvay Process for Sodium Trioxocarbonate(IV) Production
Question 5320Question →

A firm operating in an imperfectly competitive market sells 3 units of a commodity at a price of ₦40 per unit. When output increases to 4 units, the unit price drops to ₦35. What is the marginal revenue, in Naira (₦), generated from selling the 4th unit?

Show answer & explanation

Answer: 20

Answer

The marginal revenue generated from selling the 4th unit is ₦20.
The correct value of ₦20 is obtained by finding the difference between Total Revenue at 4 units (₦140) and Total Revenue at 3 units (₦120).

Step-by-Step Solution

1
Calculate Total Revenue at 3 units (TR3TR_3)
TR3=3×40=120TR_3 = 3 \times 40 = 120
Total Revenue is obtained by multiplying Price by Quantity (TR=P×QTR = P \times Q).
2
Calculate Total Revenue at 4 units (TR4TR_4)
TR4=4×35=140TR_4 = 4 \times 35 = 140
Total Revenue at the increased output level is the new Price multiplied by the new Quantity.
3
Calculate Marginal Revenue (MRMR)
MR4=140−120=20MR_4 = 140 - 120 = 20
Marginal Revenue is the addition to Total Revenue resulting from selling one extra unit (MR=ΔTR/ΔQMR = \Delta TR / \Delta Q).

Key Concept

Calculation of Marginal Revenue from Price and Quantity in Imperfect Competition
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