- #1
MarsVolta
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Homework Statement
An ideal gas originally at temperature T1 and pressure P1 is compressed reversibly against a piston to a volume equal to one half its original volume. The temperature of the gas is varied during the compression so that at each instant the relation P=AV is satisfied, A=Constant.
Find the final tempertature T2 in terms of T1
Homework Equations
PV=nrT
The Attempt at a Solution
P1V1=nRT1
P2V1/2=nRT2
V1=nRT1/P1=2nRT2/P2
Canceling yields: P2T1=2T2P1
Then: T2=T1P2/2P1
This is where I get stuck..The answer is suppose to be T2=T1/4
I can't find where to get the 4 from or how to cancel the P's