JEE Main202127 Jul 2021Evening ShiftPhysicsThermodynamicsActual
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
Options
- Awork done by the gas is close to 332   J
- Bwork done on the gas is close to 582   J
- Cwork done by the gas is close to 582   J
- Dwork done on the gas is close to 332   J
Correct answer
B. work done on the gas is close to 582   J
Step-by-step solution
Since, each vibrational mode, corresponds to two degrees of freedom, hence, f =3 ( trans .) +3(  rot . )+8(  vib . )=14 &    γ = 1 + 2 f γ = 1 + 2 14 = 8 7 W = nR Δ T γ - 1 = - 582 As W < 0 . work is done on the gas.