Question

An ideal gas undergoes the process $1\to 2$ s shown in the figure, the heat supplied and the work done in the process is $△Q$ and $△W$ respectively. The ratio $△Q:△W$ is

• A. $\gamma :\gamma -1$
• B. $\gamma$
• C. $\gamma -1$
• D. $\gamma -1:\gamma$

Answer 1

The correct option is A $\gamma :\gamma -1$

$\Rightarrow △\omega =△Q-△U△Q=\stackrel{n}{\underset{p}{C}}△T△U=\stackrel{n}{\underset{v}{C}}△T△\omega =n(C_P-C_N)△T△Q:△\omega \frac{C_P}{C_V}=\gamma ,=\frac{C_P}{{C_P-C}_V}=\frac{C_P/C_V}{C_P/C_V-1}=\frac{\gamma }{\gamma -1}$