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July 30, 2015

Homework Help: PHYSICS

Posted by sTELLA on Sunday, March 2, 2008 at 7:23pm.

Three moles of an ideal gas are compressed from 5.5*10^-2 to 2.5*10^-2 m^3. During the compression, 6.1*10^3J of work is done on the gas, and heat is removed to keep the temperature of the gas constant at all times. Find the temperature of the gas.


I posted this question few hours ago, and someone gave me such hints to do it. However, I don't quite get it, can anyone please explain more about it?THANKS A LOT!

p V = n R T is state equation before and after
Now work done at constant temp

dW = -p dV
but p = (n R T)/V and here n R T is constant given
so
dW = -(nRT) dV/V
so
work done = (nRT) ln(V1/V2)

by the way, that is also the heat out since internal energy depends only on T which is constant.

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