Thermodynamics Question 200
Question: One mole of $ O _{2} $ gas having a volume equal to 22.4 litres at $ 0^{o}C $ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is
[MP PET 1993; BVP 2003]
Options:
A) $ 1672.5\ J $
B) 1728 J
C) $ -1728J $
D) $ -1572.5\ J $
Show Answer
Answer:
Correct Answer: D
Solution:
$ W=-\mu RT{\log _{e}}\frac{V _{2}}{V _{1}}=-1\times 8.31\times (273+0){\log _{e}}( \frac{22.4}{11.2} ) $
$ =-8.31\times 273\times {\log _{e}}2 $
$ =-1572.5J $ [$ \because $
$ {\log _{e}}2=0.693 $ ]
