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
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