An ideal gas undergoes a process in which co-efficient of volume expansion of gas $\mathrm{\gamma }$,varies with absolute temperature by the relation $\mathrm{\gamma }=\frac{2}{\mathrm{T}}$.Let C is the molar heat capacity in this process and ,C_PC_V are molar heat capacity at constant pressure and volume respectively. Then

• A

  ${\mathrm{C}}_{\mathrm{P}}=3{\mathrm{C}}_{\mathrm{v}}+2\mathrm{R}$

• B

  ${\mathrm{C}}_{\mathrm{P}}=2{\mathrm{C}}_{\mathrm{v}}+\mathrm{R}$

• C

  ${\mathrm{C}}_{\mathrm{P}}={\mathrm{C}}_{\mathrm{v}}+2\mathrm{R}$

• D

  ${\mathrm{C}}_{\mathrm{P}}={\mathrm{C}}_{\mathrm{v}}-\mathrm{R}$