Question

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27°C to 37°C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true?

[R = 8.314 J mol^-1 k^-1]

(1) work done by the gas is close to 332 J

(2) work done on the gas is close to 582 J

(3) work done by the gas is close to 582 J

(4) work done on the gas is close to 332 J

Answer 1

Correct answer is 2.

Since, each vibrational mode, corresponds to two degrees of freedom, hence, f = 3 (trans.) + 3(rot.) + 8 (vib.) = 14