Question

Two moles of an ideal gas, undergo the process shown in figure. $AB$ and $CD$ are adiabatic processes. The adiabatic exponent of the gas is?

• A. $5/3$
• B. $7/5$
• C. $4/3$
• D. $9/7$

Answer 1

The correct option is A $5/3$

$\text{Solution}:$

$P{V}^{\gamma }=constant$

$P_0(2V_0{)}^{\gamma }=\frac{P}{32}(16V_0{)}^{\gamma }$

$P_0{V}_0^{\gamma }{2}^{\gamma }=P{V}_0^{\gamma }\frac{{16}^{\gamma }}{32}$

$2^{\gamma }=\frac{2^{4_{\gamma }}}{2^5}$

$2^5=2^{3_{\gamma }}$

$5=3^{\gamma }$

$\rho =\frac{5}{3}$ monoatomic gas.

$\text{Hence A is the correct option}$