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Question

How much the pressure should be increased at a constant temperature to reduce the volume of an ideal gas by 20%?
  1. 16.67%
  2. 20%
  3. 22.22%
  4. 25%

A
20%
B
22.22%
C
25%
D
16.67%
Solution
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Given :
volume of an ideal gas is reduced by 20% keeping temperature constant
solution :
by using ideal gas equation ,
PV=nRT
aas nRT is constant so whole PV is constant
PaVa=PbVb
PaVa=Pb[Va20100Va]
Pa=Pb[45]
percentage change in pressure is equals to
PbPaPa X 100

Pb45Pb45Pbx 100
25%
hence the correct option is:D

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