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, whi

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

TestHub · Accepted Answer

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

$& γ = 1 + \frac{2}{f}$

$γ = 1 + \frac{2}{14} = \frac{8}{7}$

$W = \frac{nR Δ T}{γ - 1} = - 582$

As $W < 0$ . work is done on the gas.

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