Question

state and derive mayer's formula​

Answer 1

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

Answer 2

Hllo

↪↪Mayer's formula is Cp - Cv = R. Here Cp is molar specific heat capacity of an ideal gas at constant pressure, Cv is its molar specific heat at constant volume and R is the gas constant. Specific heat capacity of a substance is defined as the heat supplied per unit mass of that substance per unit rise in temperature.