Question

If the adiabatic ratio for a gas is 5/3, find the molar specific heat capacity of the gas at (i) constant volume (ii) constant pressure.

Answer 1

Data: γ = `5/3`, R = 8.314 J/mol.K

(i) γ = `C_P/C_V`

 = `(C_V + R)/(C_V)`

= `1 + R/C_V`

∴ γ − 1 = `R/C_V`

∴ `C_V = R/(γ - 1)`

= `(8.314)/(5/3 -1)`

= `8.314/(2/3)`

= 12.47 J/mol.K

This is the required quantity.

(ii) `C_p = γC_V`

= `(5/3) (12.47)`

= 20.78 Jmol.K