Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

what is Mayer's formula

Asked by Arjun Kharbanda 21st March 2014, 2:39 PM
Answered by Expert
Answer:

Mayer 's formula gives the relationship between molar specific heat of a gas at constant volume and pressure.

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   [Mayer's relation]

Answered by Expert 21st March 2014, 10:53 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!