What is the Mayers formula?

Mayer’s Formula is given by: Cp – Cv = R. Cp= molar specific heat capacity of an ideal gas at constant pressure. Cv= molar specific heat capacity of an ideal gas at constant volume. R = gas constant.

What is R in Mayer’s formula?

where CP,m is the molar specific heat at constant pressure, CV,m is the molar specific heat at constant volume and R is the gas constant.

What is Mayer’s equation class 11?

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.

What is a Mayers law?

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.

What is CP and CV of gases?

CV and CP are two terms used in thermodynamics. CV is the specific heat at constant volume, and CP is the specific heat at constant pressure.

Which of the following is Mayer relation?

Derived by Julius von Mayer, Mayer’s relation depicts the relation between specific heat capacity at constant volume (Cv) and specific heat capacity at constant pressure (Cp). It is, Cp – Cv = R, where, R is the universal gas constant.

What is CV and CP?

Cp is “Specific Heat in constant pressure”.This means it is the amount of heat required to increase temperature by 1 dgree celcius, when heat is given at constant pressure. Cv is “Specific heat in constant volume”.

Which is Mayer relation?

Detailed Solution Derived by Julius von Mayer, Mayer’s relation depicts the relation between specific heat capacity at constant volume (Cv) and specific heat capacity at constant pressure (Cp). It is, Cp – Cv = R, where, R is the universal gas constant.

How do you prove Mayer’s relationship?

The work is done to move the piston dW = PdV. Where CP is the molar specific heat of the gas at constant pressure. ∴ P dV = R dT, since pressure is constant. This is known as Mayer’s relation between CP and CV.

How do you calculate Cp and Cv?

The relationship between CP and CV for an Ideal Gas

  1. qP = n CP∆T. This value is equal to the change in enthalpy, that is,
  2. qP = n CP∆T = ∆H. Similarly, at constant volume V, we have.
  3. qV = n CV∆T.
  4. qV = n CV∆T = ∆U.
  5. ∆H = ∆U + ∆(pV ) = ∆U + ∆(RT) = ∆U + R ∆T.
  6. CP∆T = CV∆T + R ∆T.