Question 1: Thermodynamics & KTG

Question

If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\gamma$, the change in internal energy of the given mass of gas, when the volume changes from $V$ to $2 V$ at constant pressure $p$ is

Accepted Answer

$\Delta U=n C_V \Delta T\quad 	ext{.... (i)}$
Also, $\frac{C_p}{C_V}=\gamma$
Hence, $\frac{C_p-C_V}{C_V}=\gamma-1$
$\Rightarrow C_V=\frac{R}{(\gamma-1)}$
$\left[\because C_p-C_V=Right]$
Putting these values in Eq. (i), we get
$\begin{aligned}
\Delta U & =\frac{n R}{\gamma-1} \Delta T=\frac{p \Delta V}{\gamma-1} \
& =\frac{P(2 V-V)}{\gamma-1}=\frac{p V}{\gamma-1}
\end{aligned}$

Answer

$R /(\gamma-1)$

Answer

$\mathrm{pV}$

Answer

$p V /(\gamma-1)$

Answer

$g p V /(\gamma-1)$

Thermodynamics & KTG

If the ratio of specific heat of a gas at constant pressure to that at constant volume is \gamma, the change in internal energy of the given mass of gas, when the volume changes from V to 2 V at constant pressure p is

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