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The ratio (Cp)/(Cv)=gamma for a gas. Its...

The ratio `(C_p)/(C_v)=gamma` for a gas. Its molecular weight is M. Its specific heat capacity at constant pressure is

A

`(R )/(gamma-1)`

B

`(gamma R )/(gamma-1)`

C

`(gamma R )/M(gamma-1)`

D

`(gamma R M)/(gamma-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to mayer's relation
`C_(P)-C_(V)=R or 1-(C_(V))/(C_(P))=(R )/(C_(P)`
or `1-(1)/(gamma)=(R )/(C_(p)),(therefore gamma=(C_(P))/(C_(V)))`
or `(gamma-1)/(gamma)=(R )/(C_(P)) or C_(P)=(gamma R)/(gamma-1)`
`specific heat capacity =("molar heat capacity")/("molecular weight")`
specific heat capacity at constant pressure `=(gamma R)/(M gamma-1)`
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