A) \[(T-4)K\]
B) \[(T+2.4)K\]
C) \[(T-2.4)K\]
D) \[(T+4)K\]
Correct Answer: A
Solution :
[a] \[{{T}_{1}}=T,W=6R\text{ joules},\gamma =\frac{5}{3}\] \[W=\frac{{{P}_{1}}{{V}_{1}}-{{P}_{2}}{{V}_{2}}}{\gamma -1}=\frac{nR{{T}_{1}}-nR{{T}_{2}}}{\gamma -1}\] \[=\frac{nR\left( {{T}_{1}}-{{T}_{2}} \right)}{\gamma -1}\] \[n=1,{{T}_{1}}=T\Rightarrow \frac{R\left( T-{{T}_{2}} \right)}{5/3-1}=6R\] \[\Rightarrow {{T}_{2}}=\left( T-4 \right)K\]
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