POST UTME LEAD CITY UNIVERSITY 2024 Chemistry | Objective

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Question 1 View Details
A 0.5 M solution of NaOH is prepared by dissolving 2.5 g of NaOH in 250 cm³ of water. Calculate the number of moles of NaOH dissolved.
A. 0.01 mol
Correct B. 0.05 mol
C. 0.1 mol
D. 0.2 mol

Correct Answer: B

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Question 2 View Details
A sample of a polymer has a molecular weight of 50,000 g/mol. If 2.5 g of the polymer is dissolved in 250 cm³ of water, calculate the concentration of the solution in g/L.
A. 0.1 g/L
B. 0.5 g/L
Correct C. 1 g/L
D. 5 g/L

Correct Answer: C

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Question 3 View Details
A metal rod of length 50 cm and radius 2 cm is heated from 20°C to 100°C. Calculate the change in length of the rod.
A. 0.5 cm
B. 1 cm
Correct C. 2 cm
D. 5 cm

Correct Answer: C

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Question 4 View Details
A 2 M solution of HCl is prepared by dissolving 40 g of HCl in 250 cm³ of water. Calculate the pH of the solution.
A. 1
B. 2
C. 3
Correct D. 4

Correct Answer: D

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Question 5 View Details
A sample of a gas has a volume of 250 cm³ at a pressure of 1 atm and a temperature of 20°C. Calculate the volume of the gas at a pressure of 2 atm and a temperature of 50°C.
A. 500 cm³
B. 750 cm³
Correct C. 1000 cm³
D. 1500 cm³

Correct Answer: C

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Question 6 View Details
A mixture of 2.50 g of an unknown hydrocarbon and 3.75 g of anhydrous CaCl2 is dissolved in 25.0 mL of diethyl ether. The solution is then titrated with 0.100 M Br2 in CCl4. If 15.0 mL of Br2 is required to reach the \endpoint, what is the molar mass of the hydrocarbon?
A. 120 g/mol
B. 150 g/mol
Correct C. 180 g/mol
D. 200 g/mol

Correct Answer: C

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Question 7 View Details
A sample of a metal (X) has a density of 11.5 g/cm3 and a volume of 25.0 cm3. If the mass of the sample is 287.5 g, what is the molar mass of the metal?
A. 120 g/mol
B. 150 g/mol
Correct C. 180 g/mol
D. 200 g/mol

Correct Answer: C

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Question 8 View Details
A 2.00 M solution of HCl is prepared by dissolving 36.5 g of HCl in enough water to make 1.00 L of solution. What is the molarity of the solution?
Correct A. 2.00 M
B. 1.00 M
C. 0.500 M
D. 0.250 M

Correct Answer: A

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Question 9 View Details
A 5.00 g sample of a metal oxide is dissolved in 25.0 mL of 0.100 M HCl. The resulting solution is then titrated with 0.100 M NaOH. If 15.0 mL of NaOH is required to reach the \endpoint, what is the molar mass of the metal oxide?
A. 120 g/mol
B. 150 g/mol
Correct C. 180 g/mol
D. 200 g/mol

Correct Answer: C

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Question 10 View Details
A 2.00 M solution of NaOH is prepared by dissolving 40.0 g of NaOH in enough water to make 1.00 L of solution. What is the molarity of the solution?
Correct A. 2.00 M
B. 1.00 M
C. 0.500 M
D. 0.250 M

Correct Answer: A

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Question 11 View Details
A reaction is carried out at cons\tant pressure, and the heat absorbed by the system is 250 kJ. If the reaction is \endothermic, what is the change in enthalpy (ΔH) for the reaction?
Correct A. 250 kJ
B. -250 kJ
C. 0 kJ
D. 500 kJ

Correct Answer: A

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Question 12 View Details
A sample of a gas occupies a volume of 2.5 L at a temperature of 298 K. If the gas is heated to a temperature of 373 K, what is the new volume of the gas?
A. 3.5 L
Correct B. 4.5 L
C. 5.5 L
D. 6.5 L

Correct Answer: B

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Question 13 View Details
A solution contains 2.5 g of NaCl. If 25 mL of water is added to the solution, what is the new concentration of the solution?
A. 0.1 M
Correct B. 0.2 M
C. 0.3 M
D. 0.4 M

Correct Answer: B

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Question 14 View Details
A sample of a metal is heated to a temperature of 873 K. If the metal has a specific heat capacity of 0.45 J/g°C, what is the energy required to heat the metal by 100°C?
A. 450 J
B. 500 J
Correct C. 550 J
D. 600 J

Correct Answer: C

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Question 15 View Details
A solution contains 1.5 g of glu\cose (C6H12O6). If 25 mL of water is added to the solution, what is the new concentration of the solution?
A. 0.1 M
Correct B. 0.2 M
C. 0.3 M
D. 0.4 M

Correct Answer: B

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Question 16 View Details
Determine the number of moles of $\text{O}_2$ required to completely oxidize 2.5 g of $\text{C}_2\text{H}_6$ according to the equation $\text{C}_2\text{H}_6 + \frac{7}{2}\text{O}_2 \rightarrow 2\text{CO}_2 + 3\text{H}_2\text{O}$.
A. 0.125 mol
Correct B. 0.25 mol
C. 0.5 mol
D. 1 mol

Correct Answer: B

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Question 17 View Details
The s\tandard enthalpy of formation of $\text{CO}_2$ is $\Delta H^\circ_f = -393.5 \text{ kJ/mol}$. Calculate the s\tandard enthalpy change for the reaction $\text{C} + \text{O}_2 \rightarrow \text{CO}_2$.
A. -393.5 kJ
Correct B. -393.5 kJ/mol
C. -393.5 kJ/mol * 2
D. -393.5 kJ/mol * 3

Correct Answer: B

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Question 18 View Details
A 2.5 M solution of $\text{NaOH}$ is mixed with a 2.5 M solution of $\text{HCl}$. What is the resulting concentration of the solution after the reaction is complete?
A. 0 M
B. 2.5 M
Correct C. 5 M
D. 10 M

Correct Answer: C

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Question 19 View Details
A 10.0 g sample of $\text{CaCO}_3$ is heated to produce $\text{CaO}$ and $\text{CO}_2$. If the mass of $\text{CaO}$ produced is 6.0 g, what is the mass of $\text{CO}_2$ produced?
A. 2.0 g
Correct B. 4.0 g
C. 6.0 g
D. 8.0 g

Correct Answer: B

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Question 20 View Details
A 2.0 M solution of $\text{H}_2\text{SO}_4$ is mixed with a 2.0 M solution of $\text{NaOH}$. What is the resulting concentration of the solution after the reaction is complete?
A. 0 M
B. 2.0 M
Correct C. 4.0 M
D. 6.0 M

Correct Answer: C

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Question 21 View Details
Determine the pH of a 0.1 M solution of HCl, given that the dissociation cons\tant of HCl is 10^-7.
A. 1
B. 2
C. 3
Correct D. 4

Correct Answer: D

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Question 22 View Details
A 25 mL sample of 0.5 M H2SO4 is titrated with 0.5 M NaOH. Calculate the volume of NaOH required to reach the equivalence point.
A. 12.5 mL
B. 25 mL
Correct C. 37.5 mL
D. 50 mL

Correct Answer: C

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Question 23 View Details
The s\tandard enthalpy of formation of CO2(g) is -393.5 kJ/mol. Calculate the s\tandard enthalpy of combustion of 1 mole of C6H12O6(s).
A. -2800 kJ/mol
B. -2900 kJ/mol
Correct C. -3000 kJ/mol
D. -3100 kJ/mol

Correct Answer: C

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Question 24 View Details
A 2.0 g sample of a non-metallic element is heated in a stream of oxygen gas. The mass of the resulting oxide is 4.0 g. Calculate the empirical formula of the oxide.
A. MgO
B. Al2O3
Correct C. SiO2
D. P2O5

Correct Answer: C

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Question 25 View Details
A 1.0 L sample of a gas at 25°C and 1 atm is compressed to 2.0 L at cons\tant temperature. Calculate the work done on the gas.
A. -1.0 L atm
Correct B. -2.0 L atm
C. -3.0 L atm
D. -4.0 L atm

Correct Answer: B

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