Three moles of an ideal gas kept at a constant temperature
at 300 K are compressed from a volume of 4 litre to 1 litre.
The work done in the process is
(a) – 10368 J (b) –110368 J
(c) 12000 J (d) 120368 J
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Answer:
Work done in an isothermal process is given by
W=2.3026nRTlog
10
V
1
V
2
Here, n=3,R=8.31J/mol
o
C
T=300K, V
1
=4L, V
2
=1L
Hence, W=2.3026×3×8.31×300×log
10
4
1
= 17221.15(−2log
10
2)
= −17221.15×2×0.3010=−10368J
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