A) \[\frac{rR}{M(r-1)}\]
B) \[\frac{rRM}{r-1}\]
C) \[\frac{M}{R(r-1)}\]
D) \[\frac{R}{M(r-1)}\]
E) \[\frac{R}{M(1-r)}\]
Correct Answer: D
Solution :
As \[\frac{{{C}_{p}},\,m}{{{C}_{V}},\,m}=r\] and \[{{C}_{p,\,m}}-{{C}_{V,\,m}}=R\] \[\therefore \] \[{{C}_{V,m}}=\frac{R}{r-1}\] \[{{C}_{V,\,m}}=\frac{{{C}_{V}}}{n}\] and \[{{C}_{V}}=m\cdot {{C}_{V}}\] \[\therefore \] \[\frac{R}{r-1}=\frac{m\cdot {{C}_{V}}}{m}\times M\] \[\therefore \] \[{{C}_{V}}=\frac{R}{(r-1)\,M}\]You need to login to perform this action.
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