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English Language
UTME / JAMB 2000
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Select the correct option for the space numbered 25 in the above passage
A
an act
B
decree
C
a motion
D
a bill
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The most formal way to adjust presidential powers in law is through an act of the National Assembly.
Source: Myschool Past Questions Archive (Record #15108)
Physics
UTME / JAMB 2000
Scalars, Vectors & Relative Motion
Solution
A handbag containing some load weighing 162N is carried by two students each holding the handle of the bag next to him. If each handle is pulled \( 60^{\circ} \) to the vertical, find the force on each student's arm
A
81N
B
121N
C
162N
D
324N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Weight of handbag(W) = 162N acting vertically downward
Angle of pull (\(\theta\)) = 60º to the vertical
Since the handbag is in equilibrium, the total vertical force must equal the weight of the handbag.
Let F be the force exerted by each student on the handle. The vertical component of the force from each student is given by:
Fv = F cos 60º but there are two students
2Fcos60º = 162
2F(0.5) = 162 ( cos60º = 0.5)
F = 162 ( since 2 x 0.5 = 1)
Therefore, the force exerted by each student on the handbag is: 162N
Source: Myschool Past Questions Archive (Record #41496)
Chemistry
UTME / JAMB 2000
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Solution
A mixture of iodine and sulphur crystals can be separated by treatment with?
A
Water to filter off sulphur
B
carbon (IV) sulphide to filter off iodine
C
ethanoic acid to filter off sulphur
D
methanol to filter off iodine
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
A mixture of iodine and sulphur can be separated by adding Carbon disulphide that is (CS₂) then stir the solution and filter it . As sulphur dissolved in CS₂, so it come into filter and got separated from the mixture.
Source: Myschool Past Questions Archive (Record #1481)
Chemistry
UTME / JAMB 2000
Nature of Matter & Separation Techniques
Solution
Sieving is a technique used to separate mixture containing solid particles of
A
small sizes
B
large sizes
C
different sizes
D
the same sizes
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
Sieving is a technique used to separate solid particles of different sizes in a mixture. The separation is based on the relative sizes of the particles and the holes in the sieve. Answer: Option C
Source: Myschool Past Questions Archive (Record #1482)
Chemistry
UTME / JAMB 2000
Acids, Bases, pH & Salts
Solution
Which of the following compounds is composed of Al, Si, O and H?
A
Epsom salt
B
Limestone
C
Clay
D
Urea
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
The chemical formula for aluminum silicate is Al₂SiO₅. It's also sometimes written as Al₂O₃·SiO₂ because silicates are often complex.
Aluminum silicate is a mixture of aluminum, silica, and oxygen. It can be a mineral or combined with water to form a clay.
Source: Myschool Past Questions Archive (Record #1483)
Chemistry
UTME / JAMB 2000
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
50 cm3 of carbon (II) oxide was exploded with 150 cm3 of air containing 20% oxygen by volume. Which of the reactants was in excess?
A
Carbon (II) oxide
B
Carbon (IV) oxide
C
Oxygen
D
Nitrogen
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
2CO + O2 → 2CO2
50cm3 → 25cm3
20% * 150 = 30cm3
30 cm3 is the volume of oxygen available for the reactions. But only 25 cm3 is required; therefore O2 is in excess
Source: Myschool Past Questions Archive (Record #1484)
Chemistry
UTME / JAMB 2000
Oxidation, Reduction & Redox Reactions
Solution
How many moles of HCl will be required to react with potassium heptaoxodichromate (VI) to produce 3 moles of chlorine?
A
14
B
12
C
11
D
10
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
\(K_2\)C\(r_2\)\(O_7\) + HCl → C\(l_2\) + KCl + CrC\(l_3\) + \(H_2\)O
Balancing the equation, we have
\(K_2\)C\(r_2\)\(O_7\) + 14HCl → 3C\(l_2\) + 2KCl + 2CrC\(l_3\) + 7\(H_2\)O
Source: Myschool Past Questions Archive (Record #1485)
Chemistry
UTME / JAMB 2000
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
The ratio of the initial to final pressure of a given mass of gas is 1:1.5. Calculate the final volume of the gas if the initial volume was 300 cm3 at the same temperature
A
120 cm3
B
200 cm3
C
450 cm3
D
750 cm3
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
From P1V1 = P2V2
1 * V1 = 1.5 * V2
((1 * 300)/1.5) = V2
∴ V2 = 200 cm3
Source: Myschool Past Questions Archive (Record #1486)
Chemistry
UTME / JAMB 2000
Kinetic Theory of Matter & Gas Laws
Solution
The partial pressure of oxygen in a sample of air is 452 mm Hg and the total pressure is 780 mm Hg. What is the mole fraction of oxygen?
A
0.203
B
0.579
C
2.030
D
5.790
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Mole fraction = \(\frac{\text{Partial pressure of component}}{\text{Total pressure of compound}}\)
= \(\frac{452}{780}\)
= 0.579
Source: Myschool Past Questions Archive (Record #1487)
Chemistry
UTME / JAMB 2000
Stoichiometry, Mole Concept & Volumetric Analysis
Solution
The fundamental difference between the three states of matter is the
A
shape of their particles
B
number of particles in each state
C
shape of the container they occupy
D
degree of movement of their particles
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The fundamental difference between the three states of matter is their degree of movement, gaseous particles are very loosely packed hence they can move about easily. The particles of solids are closely packed so solids only make vibrational movement, while liquid particles can move past each other because their particles are not as closely packed as those of solids.
Source: Myschool Past Questions Archive (Record #1488)
Chemistry
UTME / JAMB 2000
Periodic Table & Periodicity
Solution
Which of the following statement is correct about the periodic table?
A
Elements in the same period have the same number of valency electron
B
The valence electron of the elements in the same period increase progressively across the period
C
Elements in the same group have the same number of electron shells
D
The non-metallic properties of the elements tend to decrease across each period
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The valence electron of the elements in the same period increase progressively across the period due to an increase in atomic number
Source: Myschool Past Questions Archive (Record #1489)
Chemistry
UTME / JAMB 2000
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
The electron configuration of \(_{22}X^{2+}\) ion is
A
1s2 2s22p6 3s2 3p6 4s2 3d2
B
1s2 2s22p6 3s2 3p6 4s2 3d1
C
1s2 2s22p6 3s2 3p6
D
1s2 2s22p6 3s2 3p6 3d2
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
\(_{22}X^{2+}\) has 22 electrons but has been ionized to 2+ by giving off 2 electrons. Hence, the ion \(_{22}X^{2+}\) has 20 electrons.
The electronic configuration = 1s\(^2\) 2s\(^2\) 2p\(^6\) 3s\(^2\) 3p\(^6\) 3d\(^2\)
the general trend for the first-row transition metals is that they lose electrons from their 4s orbitals first before 3d when forming ions. but this is not true for chromium and copper due to stability related to half-filled or completely-filled 3d orbitals
Source: Myschool Past Questions Archive (Record #1490)
Chemistry
UTME / JAMB 2000
Chemical Bonding & Intermolecular Forces
Solution
Which of the following types of bonding does not involve the formation of new substance?
A
Metallic
B
covalent
C
Co-ordinate
D
Electrovalent
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Apart from the fact that there are delocalised ions around the metals, the metallic atoms remain the same, hence no new substance is formed. However, covalent, co-ordinate and electrovalent bonding involves formation of new substances. Option A is the answer
Source: Myschool Past Questions Archive (Record #1491)
Chemistry
UTME / JAMB 2000
Atomic Structure, Orbitals & Nuclear Chemistry
Solution
The knowledge of half-life can be used to
A
create an element
B
detect an element
C
split an element
D
irradiate an element
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The half-life of a species is the time it takes for the concentration of that substance to fall to half of its initial value.
Since every elements have their specific half life which is neither affected by temperature nor pressure, the knowledge of half life can be used to detect the particular element.
Source: Myschool Past Questions Archive (Record #1492)
Chemistry
UTME / JAMB 2000
Chemical Bonding & Intermolecular Forces
Solution
The shapes of CO\(_2\), H\(_2\)O and CH\(_4\) respectively are
A
bent, linear and tetrahedral
B
bent, tetrahedral and linear
C
linear, bent and tetrahedral
D
tetrahedral, linear and bent
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
CO2 is linear because the electron pairs around the central carbon atom repel each other, forcing the two oxygen atoms to push as far as possible to either side of the carbon atom, hence its bond angle is at 180 deg; H2O is bent because of the repulsion between the oxygen atom's unshared electrons and the shared electrons between the oxygen and hydrogen atoms, and CH4 has a tetrahedral shape because of the repulsion between the four pairs of bonding electrons around the central carbon atom.
Source: Myschool Past Questions Archive (Record #1493)