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POST UTME PAN-ATLANTIC UNIVERSITY 2021 Chemistry | Objective

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Question 1

At 273 K, the root mean square speed of a gas is 200 m/s. What is the root mean square speed of the gas at 373 K?

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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Question 2

The reaction of nitrogen with oxygen to form nitrogen dioxide is represented by the equation: 4NO + O2 → 2NO2. What is the oxidation state of nitrogen in NO2?

A. +2

Correct B. +3

C. +4

D. +5

Correct Answer: B

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Question 3

A diagram of a titration setup is shown below. What is the purpose of the burette in this setup?

Correct A. To measure the volume of the solution

B. To mix the solution with the analyte

C. To add the analyte to the solution

D. To measure the pH of the solution

Correct Answer: A

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Question 4

The s\tandard enthalpy of formation of CO2 is -393.5 kJ/mol. What is the s\tandard enthalpy of formation of CO?

Correct A. -110.5 kJ/mol

B. -130.5 kJ/mol

C. -150.5 kJ/mol

D. -170.5 kJ/mol

Correct Answer: A

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Question 5

A diagram of a cell is shown below. What is the function of the mitochondria in this cell?

A. To synthesize proteins

Correct B. To generate energy for the cell

C. To store genetic information

D. To regulate cell growth

Correct Answer: B

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Question 6

A 25.0 mL sample of 0.100 M NaOH is titrated with 0.100 M HCl. If the pH of the resulting solution is 7.00, what is the volume of HCl added?

A. 12.5 mL

B. 25.0 mL

Correct C. 37.5 mL

D. 50.0 mL

Correct Answer: C

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Question 7

A polymer has a molecular weight of 100,000 g/mol and a degree of polymerization of 500. What is the molar mass of the monomer?

A. 200 g/mol

Correct B. 500 g/mol

C. 1000 g/mol

D. 2000 g/mol

Correct Answer: B

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Question 8

A solution contains 0.100 M NaOH and 0.100 M HCl. What is the pH of the solution?

A. 7.00

Correct B. 6.00

C. 5.00

D. 4.00

Correct Answer: B

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Question 9

A 25.0 mL sample of 0.100 M HCl is titrated with 0.100 M NaOH. If the pH of the resulting solution is 7.00, what is the volume of NaOH added?

A. 12.5 mL

B. 25.0 mL

Correct C. 37.5 mL

D. 50.0 mL

Correct Answer: C

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Question 10

A polymer has a molecular weight of 100,000 g/mol and a degree of polymerization of 500. What is the molar mass of the monomer?

A. 200 g/mol

Correct B. 500 g/mol

C. 1000 g/mol

D. 2000 g/mol

Correct Answer: B

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Question 11

A polymer is formed by the condensation reaction between two monomers, A and B. If the molecular weight of the polymer is 100,000 g/mol, and the molecular weights of A and B are 50,000 g/mol and 30,000 g/mol, respectively, what is the degree of polymerization (DP) of the polymer?

A. 200

B. 250

Correct C. 300

D. 400

Correct Answer: C

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Question 12

The s\tandard reduction potential of the couple Zn2+/Zn is -0.76 V. If a zinc electrode is connected to a copper electrode with a s\tandard reduction potential of +0.34 V, what is the cell potential (Ecell) of the cell?

Correct A. -1.10 V

B. -0.90 V

C. -0.76 V

D. +0.34 V

Correct Answer: A

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Question 13

A solution of 0.10 M NaCl is electrolyzed u\sing a platinum electrode. If the current is 2.5 A, and the electrolysis is carried out for 10 minutes, what is the mass of Cl2 gas collected at the anode?

A. 0.25 g

Correct B. 0.50 g

C. 1.00 g

D. 2.00 g

Correct Answer: B

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Question 14

A metal M has a density of 8.5 g/cm3 and a molar mass of 120 g/mol. If a 2.5 g sample of the metal is dissolved in acid, what is the volume of the solution in cm3?

A. 0.30 cm3

B. 0.50 cm3

Correct C. 0.70 cm3

D. 1.00 cm3

Correct Answer: C

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Question 15

A mixture of 2.0 g of hexane (C6H14) and 1.5 g of toluene (C6H5CH3) is analyzed by gas chromatography. If the retention time of hexane is 10 minutes, and the retention time of toluene is 15 minutes, what is the percentage composition of hexane in the mixture?

A. 20%

Correct B. 30%

C. 40%

D. 50%

Correct Answer: B

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Question 16

The s\tandard Gibbs free energy change (ΔG°) for the reaction 2NO(g) + O2(g) → 2NO2(g) at 298 K and 1 atm is -111.3 kJ/mol. Calculate the equilibrium cons\tant (K) for this reaction.

Correct A. 1.00 × 10^5

B. 1.00 × 10^3

C. 1.00 × 10^2

D. 1.00 × 10^1

Correct Answer: A

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Question 17

A 0.500 M solution of H2SO4 is mixed with 0.500 M solution of NaOH. If the reaction is allowed to go to completion, what is the concentration of the remaining H2SO4?

Correct A. 0.250 M

B. 0.500 M

C. 0.750 M

D. 1.00 M

Correct Answer: A

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Question 18

The half-life of a radioactive subs\tance is 5.00 years. If 100.0 g of the subs\tance is present initially, how much will remain after 20.0 years?

Correct A. 25.0 g

B. 50.0 g

C. 75.0 g

D. 100.0 g

Correct Answer: A

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Question 19

A 2.00 L flask contains 1.00 M H2(g) at 298 K. If 1.00 mol of O2(g) is added to the flask, what is the new equilibrium concentration of H2(g)?

A. 0.500 M

B. 0.750 M

Correct C. 1.00 M

D. 1.25 M

Correct Answer: C

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Question 20

A 0.100 M solution of NaOH is mixed with 0.100 M solution of HCl. If the reaction is allowed to go to completion, what is the pH of the resulting solution?

A. 1.00

Correct B. 2.00

C. 3.00

D. 4.00

Correct Answer: B

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Question 21

A 2.00 L flask contains 1.00 M H2(g) at 298 K. If 1.00 mol of O2(g) is added to the flask, what is the new equilibrium concentration of H2(g)?

A. 0.500 M

B. 0.750 M

Correct C. 1.00 M

D. 1.25 M

Correct Answer: C

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Question 22

A 0.100 M solution of NaOH is mixed with 0.100 M solution of HCl. If the reaction is allowed to go to completion, what is the pH of the resulting solution?

A. 1.00

Correct B. 2.00

C. 3.00

D. 4.00

Correct Answer: B

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Question 23

A 2.00 L flask contains 1.00 M H2(g) at 298 K. If 1.00 mol of O2(g) is added to the flask, what is the new equilibrium concentration of H2(g)?

A. 0.500 M

B. 0.750 M

Correct C. 1.00 M

D. 1.25 M

Correct Answer: C

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Question 24

Determine the s\tandard enthalpy of formation of CaCO3(s) from the following data: ΔHf(CaO(s)) = -635.09 kJ/mol, ΔHf(CO2(g)) = -393.51 kJ/mol, ΔHf(C) = 0 kJ/mol.

Correct A. -1206.60 kJ/mol

B. -1206.61 kJ/mol

C. -1206.59 kJ/mol

D. -1206.62 kJ/mol

Correct Answer: A

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Question 25

A 0.500 M solution of NaOH is titrated with 0.500 M HCl. What is the pH of the solution after the reaction is complete?

A. 7.00

Correct B. 7.50

C. 8.00

D. 9.00

Correct Answer: B

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