A) \[-2767.23J\]
B) \[2767.23J\]
C) \[2500J\]
D) \[-2500J\]
Correct Answer: B
Solution :
\[W=\frac{\mu R({{T}_{1}}-{{T}_{2}})}{(\gamma -1)}=\frac{\mu R{{T}_{1}}}{(\gamma -1)}\left[ 1-\frac{{{T}_{2}}}{{{T}_{1}}} \right]\] \[=\frac{\mu R{{T}_{1}}}{(\gamma -1)}\left[ 1-{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma -1}} \right]\] \[=\frac{2\times 8.31\times 300}{\left( \frac{5}{3}-1 \right)}\left[ 1-{{\left( \frac{1}{2} \right)}^{\frac{5}{3}-1}} \right]\]\[=+2767.23\ J\]
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