Hello Candidate,

In the given question is mentioned that the ratio of pressure to volume is equal to 1. So here's the solution-

PV/V 2 = nRT/ V2

P/V =1⇒P=V

So, PV=RT

PdV+VdP=RdT

2pdV=RdT

pdV= 2 RdT

dq=C p dT; dV=C v dT

dq=dV+pdV

dq=C v dT + 2 RdT

dq=( 2/ 3 R + 2 R )dT

dq=2RdT

C p =2R