(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

an ideal gas is allowed to expand adiabatically until its volume increases by 50%. By what factor is the pressured reduced?(gamma=5/3)

2. Relevant equations

P1V1^gamma=P2V2^gamma

3. The attempt at a solution

P1V1^gamma=P2V2^gamma

v2=v1+.5V1=3/2V1

(p1/P2)=(v2/v1)^gamma=(3/2v1/v1)^gamma=3/2^gamma

so P2=P1/(3/2)^gamma=0.51P1 sp P2=.5P1

so reduced by approximately factor of 2

This is actually the correct answer, but i dont understand the why the intial setup of the calculation, is P1/P2=(V2/V1)^gamma, the problem is looking for the reduction of the pressure, could someone explain why your suppose to set up calculation this way?

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# Homework Help: Ideal gas pressure reduction

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