One mole of a monoatomic ideal gas undergoes a quasistatic process, which is depicted by a straight line joining points (V₀, T₀ ) and (2 V₀, 3 T₀ ) in a V T diagram. What is the value of the heat capacity of the gas at the point (V₀, T₀ ) ?

Step-by-step solution

Heat capacity of an ideal gas in a thermodynamic process, Ideal gas is monoatomic, aligned C_ V &= f R 2 = 3 R 2 C_ process &=C_ V + p n d V d T &= 3 2 R+ p n V₀ 2 T C_ process = 3 2 R+ n R T n 2 T &[ p V=n R T] =& 3 2 R+ R 2 =2 R aligned