A) \[300\,R{{\log }_{10}}2\]
B) \[81\,R{{\log }_{e}}2\]
C) \[900\,R{{\log }_{10}}2\]
D) \[2.3\times 900\,R{{\log }_{10}}2\]
Correct Answer: D
Solution :
\[W=\mu RT{{\log }_{e}}\frac{{{V}_{2}}}{{{V}_{1}}}\] \[=\left( \frac{m}{M} \right)RT{{\log }_{e}}\frac{{{V}_{2}}}{{{V}_{1}}}=2.3\times \frac{m}{M}RT{{\log }_{10}}\frac{{{V}_{2}}}{{{V}_{1}}}\] \[=2.3\times \frac{96}{32}R\,\,(273+27)\,{{\log }_{10}}\frac{140}{70}=\,2.3\times 900R{{\log }_{10}}2\]
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