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JAMB Physics 1984 Question 28

Question 28

Gas Laws

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 ½T, then the percentage change in the volume of the gas is

  1. A.0%
  2. B.25%
  3. C.75%
  4. D.300%
  5. E.400%
Show the answer and explanation

Answer: C (75%)

Explanation

V ∝ T/P, so the new volume is V × ½ × ½ = V/4. The volume falls by ¾ of its value, a 75% change.