Mayer's Formula - Practice Questions & MCQ

• Mayer's formula- As we know 

Molar Specific heat of the gas at constant volume=

and  Molar Specific heat capacity at constant pressure=

Mayer’s formula gives the relation between  and  as  

or we can say that molar Mayer’s formula shows that specific heat at constant pressure is greater than that at constant volume.

• Specific Heat in Terms of Degree of Freedom

1.Molar Specific heat of the gas at constant volume ()

For a gas at temperature T, the internal energy

Also, as we know for any gas heat supplied at constant volume

From the equation (i) and (ii)

where 

f = degree of freedom

R= Universal gas constant

2. Molar Specific heat of the gas at constant pressure ()

From Mayer’s formula, we know that 

3. Atomicity or adiabatic coefficient ()

It is the ratio of  to 

Value of  is always more than 1

for Monoatomic gas     

for Diatomic gas         

for Triatomic gas        

•  Gaseous Mixture

If two non-reactive gases A and B are enclosed in a vessel of volume V.

 In the mixture n₁ mole of Gas A (having Specific capacities as  and  , Degree of freedom  and Molar mass as ) is mixed with 

n₂ mole of Gas B (having Specific capacities as  and  ,Degree of freedom  and Molar mass as )

Then Specific heat of the mixture at constant volume will be

Similarly, Specific heat of the mixture at constant pressure will be

And adiabatic coefficient () of the mixture is given by

Also

Similarly, the Degree of freedom of mixture is given as

Similarly, the molar mass of the mixture