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if for an ideal gas the ratio of pressure and volume is constant and is equal to 1 atm L-1 the molar heat capacity at constant pressure would be


ramathulasi.h.c 18th Jul, 2021
Answer (1)
Ayush 18th Jul, 2021

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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