- #1
opprobe
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Homework Statement
Gas obeys Equation of State, PV=RT/(1-bP), where b is a temperature dependent constant.
Isothermal process (T is constant)
V goes from V1 to V2
P goes from P1 to P2
Show that the amount of Work is
W=(P1V1-P2V2)+RTln[(P22V2)/(P12V1)
Homework Equations
W=-∫P(V)dV
ΔU=Q+W
The Attempt at a Solution
Solved PV=RT/(1-bP) for P in terms of V
P=(-1[itex]\pm[/itex]Sqrt[1-4bRT/V])/(2b)
I don't know how to really integrate that expression. I used Wolfram to eventually get this expression:
∫P(V)dV=-V/(2b)[itex]\pm[/itex]RTln(2V(Sqrt[1-4bRT/V]+1)-4bRT)-V*Sqrt[1-4bRT/V]
I'm pretty sure that this isn't the approach to solve this problem. Can someone point me in the right direction?
Thanks in advance!