A) \[5 : 3 : 2\]
B) \[5 : 2 : 3\]
C) \[7:5:2\]
D) \[7:2:5\]
Correct Answer: C
Solution :
\[\Delta Q\,\,=\,\,\mu {{C}_{P}}\Delta T=\frac{7}{2}\mu R\Delta T\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {{C}_{P}}=\frac{7}{2}R \right)\] \[\Delta U\,\,=\,\,\mu {{C}_{P}}\Delta T=\frac{5}{2}\,\mu R\Delta T\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {{C}_{V}}=\frac{5}{2}\,R \right)\] \[and\,\,\Delta W=\,\,\Delta Q-\Delta U=\mu R\Delta T\] \[\Rightarrow \,\,\,\Delta Q & :\,\,\Delta U:\,\Delta W\,=\,7:5:2\,\]
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