JEE Main & Advanced Physics Thermodynamical Processes Question Bank Topic Test - Thermodynamical Process (2021)

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

A) \[1672.5\ J\]

B) 1728 J

C) \[-1728J\]

D) \[-1572.5\ J\]

Correct Answer: D

Solution :

[d]\[W=-\mu RT{{\log }_{e}}\frac{{{V}_{2}}}{{{V}_{1}}}=-1\times 8.31\times (273+0){{\log }_{e}}\left( \frac{22.4}{11.2} \right)\]

\[=-\,8.31\times 273\times {{\log }_{e}}2\]\[=-1572.5J\] [\[\because \]\[{{\log }_{e}}2=0.693\]]