Question

drive mayers formula

Answer 1

Mayor 's Relationship:
By using 1st law of thermodynamics,
dQ=dU + pdv
If specific heat of a gas at constant volume
C = (dQ / dT)
C = dU / dT ...................(1 )
If specific heat capacity at constant pressure
C = (dQ / dT)
C = dU + Pdv / dT
C = dU / dT + P(dV / dT)
C C + Pdv / dT (using 1 ) ........................(2)
By applying ideal gas equation for 1 mole
PV = nRT
PV = (1)RT
PV = RT
P dv / dt = R dT / dt
Pdv = RdT
P(dv / dT) =R
Putting dis value in eq 2nd we get,
C - C = R
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Answer 2

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