POST UTME LEAD CITY UNIVERSITY 2024 Chemistry | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The atomic radius of an element is related to its atomic number by the equation: r = r0 * \( Z/n \)^\( 1/3 \). What is the value of r0?
A. 1.5 Å
B. 2.5 Å
C. 3.5 Å
D. 4.5 Å
Question 2
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
C. 550 J
D. 600 J
Question 3
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
C. 1000 cm³
D. 1500 cm³
Question 4
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
C. 4.0 M
D. 6.0 M
Question 5
The s\tandard enthalpy of formation of CO2(g) is -393.5 kJ/mol. What is the s\tandard enthalpy of combustion of 1.00 g of carbon at 298 K?
A. -393.5 kJ/mol
B. -393.5 kJ/mol
C. -393.5 kJ/mol
D. -393.5 kJ/mol
Question 6
The s\tandard enthalpy of formation of CO2(g) is -393.5 kJ/mol. What is the s\tandard enthalpy of combustion of 1.00 g of carbon at 298 K?
A. -393.5 kJ/mol
B. -393.5 kJ/mol
C. -393.5 kJ/mol
D. -393.5 kJ/mol
Question 7
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
B. 0.05 mol
C. 0.1 mol
D. 0.2 mol
Question 8
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
C. 180 g/mol
D. 200 g/mol
Question 9
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
C. 5 M
D. 10 M
Question 10
A 2.50-g sample of a compound containing only carbon and hydrogen is burned in a combustion apparatus. The volume of carbon dioxide produced is 1.25 L at 25°C and 1.00 atm. What is the empirical formula of the compound?
A. CH
B. C2H2
C. C2H4
D. C2H6
Question 11
A 0.500 M solution of NaOH is mixed with a 0.500 M solution of HCl. What is the pH of the resulting solution?
A. 7.00
B. 7.00
C. 7.00
D. 7.00
Question 12
The atomic mass of an element is the average mass of its naturally occurring isotopes. What is the atomic mass of carbon?
A. 12.01 u
B. 13.01 u
C. 14.01 u
D. 15.01 u
Question 13
A 1.00-g sample of a compound containing only carbon and oxygen is heated in a crucible until it decomposes completely. The mass of the residue is 0.500 g. What is the empirical formula of the compound?
A. CO
B. C2O
C. C2O2
D. C2O3
Question 14
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
C. 1 g/L
D. 5 g/L
Question 15
A 0.500 M solution of NaOH is mixed with a 0.500 M solution of HCl. What is the pH of the resulting solution?
A. 7.00
B. 7.00
C. 7.00
D. 7.00

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