Question 308: Thermodynamics & KTG

Question

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$^\circ$ C to 37$^\circ$ 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
]

Accepted Answer

Since, each vibrational mode, corresponds to two degrees of freedom, hence, f = 3 (trans.) + 3 (rot.) + 4 $ 	imes $ 2 (vib.) = 14
& $\gamma  = 1 + {2 \over f}$
$\gamma  = 1 + {2 \over {14}} = {8 \over 7}$
$W = {{nR\Delta T} \over {\gamma  - 1}} =  - 582$
As W < 0. work is done on the gas.

Answer

work done by the gas is close to 332 J

Answer

work done on the gas is close to 582 J

Answer

work done by the gas is close to 582 J

Answer

work done on the gas is close to 332 J

Thermodynamics & KTG

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27^\circ C to 37^\circ 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 ]

Choose the correct answer: