POST UTME FUTO 2022 Chemistry | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The half-life of a radioactive subs\tance is ( 10 ) years. If the initial amount of the subs\tance is ( 100 ) g, what is the amount of the subs\tance remaining after ( 20 ) years?
A. 12.5 g
B. 25 g
C. 50 g
D. 100 g
Question 2
A sample of a metal (M) reacts with HCl to produce a gas. The gas is collected over water and found to have a partial pressure of 0.75 atm. If the vapor pressure of water at 25°C is 0.031 atm, calculate the mole \fraction of the gas.
A. 0.1
B. 0.2
C. 0.3
D. 0.4
Question 3
The reaction of potassium permanganate with hydrogen peroxide in acidic medium is a classic example of a redox reaction. The balanced equation for this reaction is: \( 2KMnO_4 + 3H_2O_2 + H_2SO_4 \rightarrow K_2SO_4 + 2MnSO_4 + 4H_2O + 3O_2 \). What is the oxidation state of manganese in the product \( MnSO_4 \)?
A. 0
B. +2
C. -2
D. +4
Question 4
A 1.0 M solution of NaOH is titrated with a 1.0 M solution of HCl. If 25 mL of the HCl solution is required to reach the equivalence point, calculate the number of moles of NaOH.
A. 0.05
B. 0.10
C. 0.15
D. 0.20
Question 5
A 2.5 g sample of a polymer is dissolved in 100 mL of a solvent. If the density of the solution is 1.2 g/mL, calculate the molar mass of the polymer.
A. 1000
B. 2000
C. 3000
D. 4000
Question 6
A solution of ( 0.1 , M ) \( Na_2SO_4 \) is electrolyzed u\sing a platinum electrode. The electrolysis is carried out at ( 298 , K ) and ( 1 , atm ). What is the mass of \( O_2 \) gas evolved at the anode after ( 2 ) hours?
A. 0.12 g
B. 0.24 g
C. 0.36 g
D. 0.48 g
Question 7
A sample of a non-metal (X) reacts with oxygen to produce a gas. The gas is collected over water and found to have a partial pressure of 0.50 atm. If the vapor pressure of water at 25°C is 0.031 atm, calculate the mole \fraction of the gas.
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 8
A gas at \( 20 , ^circ C \) and ( 1 , atm ) occupies a volume of ( 2 ) L. What is the pressure of the gas at \( 50 , ^circ C \) if the volume is reduced to ( 1 ) L?
A. 2 atm
B. 4 atm
C. 6 atm
D. 8 atm
Question 9
A solution of ( 0.1 , M ) \( H_2SO_4 \) is mixed with a solution of ( 0.2 , M ) ( NaOH ). What is the concentration of the resulting solution?
A. 0.1 M
B. 0.2 M
C. 0.3 M
D. 0.4 M
Question 10
Determine the pH of a 0.1 M solution of HCl.
A. 1
B. 2
C. 3
D. 4

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