Question

###DERIVE mayer's relation.....​

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

Answer 2

specific heat and constant pressure