POST UTME MOUNTAIN TOP UNIVERSITY 2019 Chemistry | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 1.0 L flask contains 0.5 mol of CO2 at 27°C. If the gas is heated to 127°C at cons\tant volume, what is the new pressure?
A. 2.5 atm
B. 5.0 atm
C. 10.0 atm
D. 15.0 atm
Question 2
A 10 M solution of HCl is titrated with 0.1 M NaOH. Calculate the pH of the solution after 25 mL of NaOH has been added.
A. 1.00
B. 2.00
C. 3.00
D. 4.00
Question 3
The reaction 2NO(g) + O2(g) → 2NO2(g) has a rate cons\tant of 0.05 s^-1 at 298 K. If the initial concentrations of NO and O2 are 0.05 M and 0.02 M, respectively, what is the rate of reaction after 10 s?
A. 0.00025 M s^-1
B. 0.0005 M s^-1
C. 0.00075 M s^-1
D. 0.001 M s^-1
Question 4
A 100.0 mL sample of 0.100 M NaOH is titrated with 0.100 M HCl. What is the pH of the resulting solution?
A. 1.00
B. 2.00
C. 3.00
D. 4.00
Question 5
The rate cons\tant of a first-order reaction is given by \( k = Ae^{-E_a/RT} \). If the activation energy \( E_a \) is 100 kJ/mol, the gas cons\tant ( R ) is 8.314 J/\( mol*K \), and the temperature ( T ) is 300 K, calculate the rate cons\tant ( k ) if the pre-exponential factor ( A ) is 1.0 s\( ^{-1} \).
A. 0.001 s\( ^{-1} \)
B. 0.01 s\( ^{-1} \)
C. 0.1 s\( ^{-1} \)
D. 1.0 s\( ^{-1} \)
Question 6
A 1.0 M solution of H2SO4 is mixed with a 1.0 M solution of NaOH. What is the concentration of the resulting solution?
A. 0.5 M
B. 1.0 M
C. 1.5 M
D. 2.0 M
Question 7
The reaction of zinc metal with copper(II) sulfate solution is represented by the equation: Zn(s) + CuSO4(aq) → ZnSO4(aq) + Cu(s). What is the oxidation state of copper in the product Cu(s)?
A. 0
B. +1
C. +2
D. -1
Question 8
The reaction 2NO(g) + O2(g) → 2NO2(g) has a rate cons\tant of 0.05 min^-1 at 298 K. Calculate the half-life of the reaction.
A. 13.86 min
B. 27.72 min
C. 41.58 min
D. 55.44 min
Question 9
Determine the number of moles of $\text{O}_2$ produced when 2.50 moles of $\text{H}_2$ react with excess $\text{O}_2$ according to the equation $2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}.$
A. 1.25 moles
B. 2.50 moles
C. 3.75 moles
D. 5.00 moles
Question 10
A 0.1 M solution of \( Na_2CO_3 \) is mixed with a 0.1 M solution of ( HCl ). If the reaction is complete, what is the concentration of ( NaCl ) in the resulting solution?
A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M
Question 11
The half-life of a radioactive subs\tance is 5 years. If 100 g of the subs\tance is present initially, how much will remain after 20 years?
A. 25 g
B. 50 g
C. 75 g
D. 100 g
Question 12
The s\tandard enthalpy of formation of CO(g) is -110.5 kJ/mol. What is the s\tandard enthalpy of combustion of 1.5 mol of carbon at 298 K?
A. -165.75 kJ
B. -165.75 kJ/mol
C. -165.75 kJ/mol × 1.5 mol
D. -165.75 kJ/mol × 1.5
Question 13
A diagram of a cell is shown below.
A. The cell is in a state of mitosis.
B. The cell is in a state of meiosis.
C. The mitochondrion is the site of protein synthesis.
D. The mitochondrion is the site of cellular respiration.
Question 14
A 1.0 L flask contains 0.5 mol of CO2 at 27°C. If the gas is heated to 127°C at cons\tant volume, what is the new pressure?
A. 2.5 atm
B. 5.0 atm
C. 10.0 atm
D. 15.0 atm
Question 15
A 0.1 M solution of CaCl2 is mixed with a 0.1 M solution of NaOH. What is the resulting solution?
A. Ca(OH)2
B. CaCl2
C. NaOH
D. H2O

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