POST UTME MOUNTAIN TOP UNIVERSITY 2019 Chemistry | Objective

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Question 1
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\( ^{-1} \).
Correct A. 0.001 s\( ^{-1} \)
B. 0.01 s\( ^{-1} \)
C. 0.1 s\( ^{-1} \)
D. 1.0 s\( ^{-1} \)

Correct Answer: A

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Question 2
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
Correct B. 0.2 M
C. 0.3 M
D. 0.4 M

Correct Answer: B

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Question 3
A diagram of a titration setup is shown below.
A. The burette contains ( NaOH ).
Correct B. The burette contains ( HCl ).
C. The beaker contains ( NaOH ).
D. The beaker contains ( HCl ).

Correct Answer: B

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Question 4
A 1.0 M solution of \( CaCl_2 \) is mixed with a 1.0 M solution of \( Na_2CO_3 \). If the reaction is complete, what is the concentration of \( CaCO_3 \) in the resulting solution?
A. 0.5 M
Correct B. 1.0 M
C. 1.5 M
D. 2.0 M

Correct Answer: B

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Question 5
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.
Correct D. The mitochondrion is the site of cellular respiration.

Correct Answer: D

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Question 6
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
Correct C. 3.75 moles
D. 5.00 moles

Correct Answer: C

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Question 7
A 2.50 M solution of $\text{HCl}$ is mixed with 100.0 mL of 0.500 M $\text{NaOH}$. What is the concentration of the resulting solution?
A. 0.500 M
B. 1.00 M
Correct C. 1.25 M
D. 2.00 M

Correct Answer: C

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Question 8
A 2.50 g sample of $\text{C}_6\text{H}_{12}\text{O}_6$ is burned in a bomb calorimeter. If the heat of combustion is 13.8 kJ/g, what is the total heat of combustion for the sample?
A. 34.2 kJ
B. 43.5 kJ
Correct C. 54.8 kJ
D. 65.1 kJ

Correct Answer: C

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Question 9
A 2.50 M solution of $\text{H}_2\text{SO}_4$ is mixed with 100.0 mL of 0.500 M $\text{NaOH}$. What is the concentration of the resulting solution?
A. 0.500 M
B. 1.00 M
Correct C. 1.25 M
D. 2.00 M

Correct Answer: C

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Question 10
A 2.50 g sample of $\text{C}_6\text{H}_{12}\text{O}_6$ is burned in a bomb calorimeter. If the heat of combustion is 13.8 kJ/g, what is the total heat of combustion for the sample?
A. 34.2 kJ
B. 43.5 kJ
Correct C. 54.8 kJ
D. 65.1 kJ

Correct Answer: C

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Question 11
A 2.5 L flask contains 0.5 mol of an ideal gas at 27°C. If the gas is heated to 127°C at cons\tant volume, what is the new pressure?
A. 2.5 atm
Correct B. 5.0 atm
C. 10.0 atm
D. 15.0 atm

Correct Answer: B

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Question 12
A solution contains 0.1 M NaOH and 0.2 M HCl. What is the pH of the resulting solution?
A. 1.0
Correct B. 2.0
C. 3.0
D. 4.0

Correct Answer: B

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Question 13
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
Correct B. 5.0 atm
C. 10.0 atm
D. 15.0 atm

Correct Answer: B

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Question 14
A solution contains 0.1 M NaOH and 0.2 M HCl. What is the pH of the resulting solution?
A. 1.0
Correct B. 2.0
C. 3.0
D. 4.0

Correct Answer: B

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Question 15
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
Correct B. 5.0 atm
C. 10.0 atm
D. 15.0 atm

Correct Answer: B

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Question 16
Determine the molar mass of a metal oxide, M2O3, if the molar mass of the metal, M, is 65.45 g/mol and the molar mass of oxygen, O, is 16.00 g/mol.
A. 196.45 g/mol
B. 196.90 g/mol
Correct C. 197.45 g/mol
D. 197.90 g/mol

Correct Answer: C

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Question 17
A 2.50 M solution of HCl is mixed with a 1.25 M solution of NaOH. What is the concentration of the resulting solution?
A. 1.25 M
Correct B. 1.50 M
C. 2.00 M
D. 2.50 M

Correct Answer: B

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Question 18
A sample of CO2 gas is collected over water at 25°C and 1 atm. If the partial pressure of CO2 is 0.75 atm, what is the mole \fraction of CO2 in the gas mixture?
A. 0.60
B. 0.65
C. 0.70
Correct D. 0.75

Correct Answer: D

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Question 19
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
Correct D. 4.00

Correct Answer: D

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Question 20
A 2.00 g sample of a metal carbonate is heated to produce a metal oxide and CO2 gas. If the mass of the metal oxide is 1.50 g, what is the molar mass of the metal carbonate?
A. 100.0 g/mol
B. 120.0 g/mol
Correct C. 140.0 g/mol
D. 160.0 g/mol

Correct Answer: C

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Question 21
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
Correct C. +2
D. -1

Correct Answer: C

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Question 22
The s\tandard enthalpy of formation of CO2(g) is -393.5 kJ/mol. What is the s\tandard enthalpy of combustion of 1.5 mol of carbon at 298 K?
A. -590.25 kJ
B. -590.25 kJ/mol
Correct C. -590.25 kJ/mol × 1.5 mol
D. -590.25 kJ/mol × 1.5

Correct Answer: C

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Question 23
A 2.5 M solution of HCl(aq) is mixed with a 1.5 M solution of NaOH(aq). What is the concentration of the resulting solution?
A. 1.0 M
Correct B. 1.5 M
C. 2.0 M
D. 2.5 M

Correct Answer: B

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Question 24
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?
Correct A. 25 g
B. 50 g
C. 75 g
D. 100 g

Correct Answer: A

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Question 25
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
Correct C. -165.75 kJ/mol × 1.5 mol
D. -165.75 kJ/mol × 1.5

Correct Answer: C

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