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JAMB Physics 2020 Objective — Question 38

Question 38 of 40 from the Joint Admissions and Matriculation Board (JAMB) Physics 2020 Objective paper, with the correct answer and a full explanation.

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38. A given mass of an ideal gas occupies a volume V at a temperature T and under a pressure P. If the pressure is increased to 2P and the temperature reduced to (1/2)T, the percentage change in the volume of the gas is

  • A. A. 0%
  • B. B. 25%
  • C. C. 75%Correct
  • D. D. 300%

Explanation

Using PV/T=constant: (2P)(V2)/(T/2) = PV/T → V2 = V/4. The volume decreases from V to V/4, a decrease of 3V/4, i.e. a 75% decrease.

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