The work done on the system when one mole of an ideal gas is compressed isothermally to a final
volume of 0.01 m^3at constant external pressure of 5 bar is 20 kJ. What is initial volume of the gas?
A) 0.05 m
B) 0.025 m
C) 0.04 m
D) 0.03 m
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Answer:
n=1 mole
P1=1 bar
P2=4 bar
T=300 K
It is a reversible & isothermal process.
∴ work done =−nRTln(P2P1)
=−1×8.314×300×ln(41)
=3457.69J
=3.457KJ
As the ideal gas is compressed, W>0
∴ work done =+3.457KJ
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