Find the value of C_v and C_p for nitrogen. (Given R = 8.3 J mol^-1 K^-1 ; also, for a diatomic gas, C_v = 5/ 2 R.

Question

Find the value of C_v and C_p for nitrogen. (Given R = 8.3 J mol^-1 K^-1 ; also, for a diatomic gas, C_v = \(\frac{5}{2}\) R.

Answer 1

Nitrogen is known to exist as a diatomic molecule. Hence

C_v(for nitrogen) = \(\frac{5R}{2}\) 

= \(\frac{5}{2}\) × 8.3 J mol^-1 K^-1

= 20.75 J mol^-1 K^-1

From Mayer’s relation, C_p = C_v + R

C_p(for nitrogen) = (20.75 + 8.3) J mol^-1 K^-1

= 29.05 K mol^-1 K ^-1