A diatomic ideal gas undergoes a process in which the ratio of P to V^2 at any instant is constant a β AITS & Test Series Chemistry Question
Question
A diatomic ideal gas undergoes a process in which the ratio of P to V^2 at any instant is constant and equals to 1. What is molar heat capacity of gas [excluding vibrational degree of freedom]

π‘ Solution & Explanation
dE dq dW ο½ ο« dE dV dq dE PdV dq P dT dT dT ο« ο½ ο ο« ο½ ο nCV, m PdV dq dT dT ο« ο½ fR PdV dq 1 2 dT dT οο΄ ο« ο½ 5R PdV dq 2 dT dT ο ο« ο½ β¦. (1) 3 PV RT V RT ο½ ο ο½ 2 dV PdV R 3V R dT dT 3 ο ο½ ο ο½ 5R R dq 2 3 dT ο« ο½ 17R dq 6 dT ο½ AITS-FT-III-PCM(Sol.)-JEE(Main)/20 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com 7