A) \[n=\frac{C-{{C}_{v}}}{C-{{C}_{p}}}\]
B) \[n=\frac{{{C}_{p}}}{{{C}_{v}}}\]
C) \[n=\frac{C-{{C}_{p}}}{C-{{C}_{v}}}\]
D) \[n=\frac{{{C}_{p}}-C}{C-{{C}_{v}}}\]
Correct Answer: C
Solution :
Specific heat \[C=\frac{R}{1-n}+{{C}_{v}}\]for polytropic process \[\therefore \]\[\frac{R}{1-n}+{{C}_{v}}=C\] \[\frac{R}{1-n}=C-{{C}_{v}}\Rightarrow \frac{R}{C-{{C}_{v}}}=1-n\] (Where \[R={{C}_{p}}-{{C}_{v}}\])\[\Rightarrow \]\[n=\frac{C-{{C}_{p}}}{C-{{C}_{v}}}\]You need to login to perform this action.
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