A) \[1-\frac{1}{\gamma }\]
B) \[1+\frac{1}{\gamma }\]
C) \[1-\frac{2}{\gamma }\]
D) \[1+\frac{2}{\gamma }\]
Correct Answer: A
Solution :
Heat absorbed by the system at constant pressure \[Q\,\,=\,{{\,}_{n}}{{C}_{p}}\Delta T\] and change in internal energy \[\Delta U{{=}_{n}}{{C}_{v}}\Delta T\] \[W=Q-\Delta U\] fraction \[=\,\,\frac{W}{Q}\,\,=\,\,\frac{Q-\Delta U}{Q}\,\,=\,\,1-\frac{\Delta U}{Q}\] \[=1-\frac{\Delta U}{Q}\,\,=\,\,\left( 1-\frac{1}{\gamma } \right)\]
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