Question

P-V curve of a diatomic gas is shown in the figure. Find the total heat given to the gas in the process AB and BC

Answer 1

R.E.F image

thermodynamics

Change in internal energy from

$A\to B$

$\Delta u=\frac{f}{2}nR\Delta T=\frac{f}{2}(P_2{V}_2-P_1{V}_1)$

$=\frac{3}{2}(2P_0\times 2V_0-P_0{V}_0)$

$Hef=3$ $=\frac{9P_0{V}_0}{2}$

$A\to B$

$\Delta w=P_0(2V_0-V_0)+\frac{1}{2}\times V_0\times P_0$

$\Delta w=\frac{3}{2}{P}_0{V}_0\to$ Required answer

heat change $=\Delta Q=\Delta u\times \Delta w$

$=\frac{9}{2}{P}_0{V}_0+\frac{3}{2}{P}_0{V}_0$

$=6P_0{V}_0$

Required answer C