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: