A) \[2/3\]
B) \[2/7\]
C) \[1/5\]
D) \[1/7\]
Correct Answer: B
Solution :
According to first law of thermodynamics \[\Delta Q=\Delta U+\Delta W\] \[\Rightarrow \] \[{{C}_{V}}\Delta T={{C}_{p}}\Delta T+W\] or \[W=({{C}_{P}}-{{C}_{V}})\Delta T\] \[=\left( \frac{7}{2}-\frac{5}{2} \right)\Delta T\] Now, \[\frac{W}{Q}=\frac{\left( \frac{7}{2}-\frac{5}{2} \right)\Delta T}{\frac{7}{2}\Delta T}\] \[=\frac{2}{7}\]
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