POST UTME MOUNTAIN TOP UNIVERSITY 2018 Chemistry | Objective

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Question 1
Determine the number of moles of $\text{CO}_2$ produced when 2.50 g of $\text{CaC}_2$ is heated in the presence of excess $\text{O}_2$.
Correct A. 0.0500 mol
B. 0.100 mol
C. 0.150 mol
D. 0.200 mol

Correct Answer: A

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Question 2
A sample of $\text{C}_6\text{H}_{12}\text{O}_6$ has a molar mass of 180 g/mol. What is the empirical formula of the compound?
Correct A. $\text{C}_2\text{H}_4\text{O}_2$
B. $\text{C}_3\text{H}_6\text{O}_3$
C. $\text{C}_4\text{H}_8\text{O}_4$
D. $\text{C}_6\text{H}_{12}\text{O}_6$

Correct Answer: A

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Question 3
A 2.00-L sample of $\text{CO}_2$ gas at 25°C and 1.00 atm is collected over water. What is the partial pressure of $\text{CO}_2$ in the gas mixture?
A. 0.500 atm
Correct B. 0.750 atm
C. 1.00 atm
D. 1.25 atm

Correct Answer: B

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Question 4
A 5.00-g sample of $\text{Na}_2\text{O}_2$ is dissolved in 100.0 mL of water. What is the concentration of the resulting solution in $\text{mol}/\text{L}$?
A. 0.100 M
Correct B. 0.200 M
C. 0.300 M
D. 0.400 M

Correct Answer: B

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Question 5
A 2.00-L sample of $\text{H}_2$ gas at 25°C and 1.00 atm is collected over water. What is the partial pressure of $\text{H}_2$ in the gas mixture?
A. 0.500 atm
B. 0.750 atm
Correct C. 1.00 atm
D. 1.25 atm

Correct Answer: C

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Question 6
Determine the s\tandard enthalpy of formation of NO(g) from its elements at 298 K.
Correct A. +90.29 kJ/mol
B. -90.29 kJ/mol
C. +120.29 kJ/mol
D. +130.29 kJ/mol

Correct Answer: A

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Question 7
A 0.500 M solution of HCl is mixed with a 0.500 M solution of NaOH. What is the resulting concentration of the common ion after the reaction is complete?
A. 0.000 M
Correct B. 0.250 M
C. 0.500 M
D. 1.00 M

Correct Answer: B

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Question 8
A 2.00 M solution of H2SO4 is mixed with a 2.00 M solution of KOH. What is the resulting concentration of the common ion after the reaction is complete?
A. 0.000 M
B. 0.500 M
Correct C. 1.00 M
D. 2.00 M

Correct Answer: C

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Question 9
A 1.00 M solution of HCl is mixed with a 1.00 M solution of NaOH. What is the resulting concentration of the common ion after the reaction is complete?
A. 0.000 M
B. 0.250 M
C. 0.500 M
Correct D. 1.00 M

Correct Answer: D

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Question 10
A 0.500 M solution of HCl is mixed with a 0.500 M solution of NaOH. What is the resulting concentration of the common ion after the reaction is complete?
A. 0.000 M
Correct B. 0.250 M
C. 0.500 M
D. 1.00 M

Correct Answer: B

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Question 11
The rate cons\tant (k) of a first-order reaction is given by the equation: k = Ae^\( -Ea/RT \). If the activation energy (Ea) is 50 kJ/mol, the gas cons\tant (R) is 8.314 J/\( mol*K \), and the temperature (T) is 300 K, what is the value of the rate cons\tant (k) if the pre-exponential factor (A) is 1.0 x 10^10 s^\( -1 \)?
Correct A. 1.0 x 10^\( -5 \) s^\( -1 \)
B. 1.0 x 10^\( -6 \) s^\( -1 \)
C. 1.0 x 10^\( -7 \) s^\( -1 \)
D. 1.0 x 10^\( -8 \) s^\( -1 \)

Correct Answer: A

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Question 12
A solution of 0.1 M NaCl is prepared by dissolving 6.0 g of NaCl in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M

Correct Answer: A

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Question 13
A 2.0 M solution of HCl is prepared by dissolving 40 g of HCl in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 2.0 M
B. 4.0 M
C. 6.0 M
D. 8.0 M

Correct Answer: A

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Question 14
A 1.0 M solution of NaOH is prepared by dissolving 20 g of NaOH in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 1.0 M
B. 2.0 M
C. 3.0 M
D. 4.0 M

Correct Answer: A

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Question 15
A 0.5 M solution of H2SO4 is prepared by dissolving 10 g of H2SO4 in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 0.5 M
B. 1.0 M
C. 1.5 M
D. 2.0 M

Correct Answer: A

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Question 16
A 1.5 M solution of Na2CO3 is prepared by dissolving 30 g of Na2CO3 in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 1.5 M
B. 2.0 M
C. 2.5 M
D. 3.0 M

Correct Answer: A

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Question 17
A 2.5 M solution of HNO3 is prepared by dissolving 50 g of HNO3 in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 2.5 M
B. 3.0 M
C. 3.5 M
D. 4.0 M

Correct Answer: A

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Question 18
A 1.0 M solution of NaOH is prepared by dissolving 20 g of NaOH in 100 mL of water. What is the concentration of the solution in mol/L?
Correct A. 1.0 M
B. 2.0 M
C. 3.0 M
D. 4.0 M

Correct Answer: A

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Question 19
A 0.1 M solution of a weak acid HA is mixed with a 0.1 M solution of a strong base NaOH. The resulting solution has a pH of 4.5. What is the value of the acid dissociation cons\tant Ka?
Correct A. 1.0 x 10^\( -5 \)
B. 1.0 x 10^\( -4 \)
C. 1.0 x 10^\( -3 \)
D. 1.0 x 10^\( -2 \)

Correct Answer: A

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Question 20
A sample of a non-metallic oxide, X2O3, has a mass of 25.0 g and a volume of 2.50 L. If the density of the oxide is 3.50 g/L, what is the molar mass of the oxide?
A. 150 g/mol
B. 200 g/mol
Correct C. 250 g/mol
D. 300 g/mol

Correct Answer: C

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Question 21
A 2.00 g sample of a metal, M, is dissolved in 100.0 mL of a 1.00 M solution of HCl. The resulting solution has a pH of 1.5. What is the value of the metal's reduction potential E?
A. -0.50 V
B. -0.75 V
Correct C. -1.00 V
D. -1.25 V

Correct Answer: C

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Question 22
A 1.00 L sample of a gas, X, is collected over water at a temperature of 25°C and a pressure of 1.00 atm. If the vapor pressure of water at this temperature is 0.0313 atm, what is the partial pressure of the gas?
Correct A. 0.9687 atm
B. 0.9697 atm
C. 0.9707 atm
D. 0.9717 atm

Correct Answer: A

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Question 23
A 2.00 g sample of a metal, M, is dissolved in 100.0 mL of a 1.00 M solution of HCl. The resulting solution has a pH of 1.5. What is the value of the metal's reduction potential E?
A. -0.50 V
B. -0.75 V
Correct C. -1.00 V
D. -1.25 V

Correct Answer: C

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Question 24
A 1.00 L sample of a gas, X, is collected over water at a temperature of 25°C and a pressure of 1.00 atm. If the vapor pressure of water at this temperature is 0.0313 atm, what is the partial pressure of the gas?
Correct A. 0.9687 atm
B. 0.9697 atm
C. 0.9707 atm
D. 0.9717 atm

Correct Answer: A

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Question 25
A 2.00 g sample of a metal, M, is dissolved in 100.0 mL of a 1.00 M solution of HCl. The resulting solution has a pH of 1.5. What is the value of the metal's reduction potential E?
A. -0.50 V
B. -0.75 V
Correct C. -1.00 V
D. -1.25 V

Correct Answer: C

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