One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar specific heat of the gas in the process is

Step-by-step solution

In the curve, V 1 T aligned & V=m 1 T where, m= slope of curve. & V T= constant & T d V+V d T=0 & d V=- V T d T & As, Q= U+W & C d T=C_V d T+p d V & C d T=C_V d T- p T V d T & C=C_V- p V T & =C_V-R ( p V T =R ) & aligned For diatomic gas, C_V= 5 2 R C=C_V-R= 5 2 R-R= 3 R 2