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Question

Keeping the temperature fixed, nitrogen is compressed four times of its initial pressure. The volume of gas in the container changes from 20 cc to V2 cc. Find the final volume V2.
  1. 5 cc
  2. 10 cc
  3. 80 cc
  4. 40 cc


Solution

The correct option is A 5 cc
When the temperature of a gas is kept constant, the volume (V) of a fixed mass of gas is inversely proportional to its pressure (P).

P1VP1V1=P2V2

The final volume, V2=P1P2V1
Given: the gas is compressed four times, i.e. the final pressure P2 is four times the initial pressure P1.
Also V1=20 cc

V2=P1P2V1

14×20=5 cc

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