Question

One mole of an ideal gas is carried through a thermodynamic cycle as shown in the figure. The cyclic process consists of an isochoric, an isothermal and an adiabatic process. Find adiabatic exponent of the gas

• A. $\frac{5}{3}$
• B. $\frac{ln5}{ln3}$
• C. $\frac{4}{3}$
• D. $\frac{ln6}{ln3}$

Answer 1

The correct option is D

$\frac{ln6}{ln3}$

CA is adiabatic, BC is isothermal as per slope
Hence $V_1=\frac{P_0{V}_0}{3P_0}=\frac{V_0}{3}$
Using $P{V}^{{\rm Y}}=const\Rightarrow ϔ=\frac{ln6}{ln3}$