Question

The difference between the specific heats of a gas is $4150$ $Jk{g}^{-1}{K}^{-1}$. If the ratio of specific heat is $1.4$, then the specific heat at constant volume of the gas (in $Jk{g}^{-1}{K}^{-1}$) is:

• A. $1037.5$
• B. $2037.5$
• C. $8300$
• D. $10375$
• E. $4150$

Answer 1

The correct option is D $10375$

Given, the difference between the specific heats of a gas $=4150$J$k{g}^{-1}{k}^{-1}$
Now, $C_p-C_v=4150$
$\Rightarrow \gamma C_v-C_v=4150$
$\Rightarrow 1.4C_v-C_v=4150$
$0.4C_v=4150$
$C_v=\frac{4150}{0.4}$
$C_v=10375Jk{g}^{-1}{k}^{-1}$.