state and derive mayer's formula
Mayor 's Relationship:
By using 1st law of thermodynamics,
dQ=dU + pdv
If specific heat of a gas at constant volume
Cv = (dQ / dT)v
Cv = dU / dT ...................(1st)
If specific heat capacity at constant pressure
Cp = (dQ / dT)p
Cp = dU + Pdv / dT
Cp = dU / dT + P(dV / dT)
Cp = Cv + Pdv / dT (using 1st) ........................(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 eqn 2nd we get,
Cp - Cv = R
hope it helps you:))))
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