Thermodynamics Question 197
Question: In an isothermal reversible expansion, if the volume of 96 gm of oxygen at 27°C is increased from 70 litres to 140 litres, then the work done by the gas will be
Options:
A) $ 300R{\log _{10}}2 $
B) $ 81R{\log _{e}}2 $
C) $ 900R{\log _{10}}2 $
D) $ 2.3\times 900R{\log _{10}}2 $
Show Answer
Answer:
Correct Answer: D
Solution:
$ W=\mu RT{\log _{e}}\frac{V _{2}}{V _{1}} $
$ =( \frac{m}{M} )RT{\log _{e}}\frac{V _{2}}{V _{1}}=2.3\times \frac{m}{M}RT{\log _{10}}\frac{V _{2}}{V _{1}} $
$ =2.3\times \frac{96}{32}R(273+27){\log _{10}}\frac{140}{70}=2.3\times 900R{\log _{10}}2 $
