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When 1 mol of CO(2)(g) occupying a volu...

When 1 mol of `CO_(2)(g)` occupying a volumeof 10 L at `27^(@)` isallowed to expand under adiabatic conditions, temperature fallsto `-123^(@)C`. Hence, final volume of the gas will be `:`

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The correct Answer is:
80
For adiabatic expansion, `T_2/T_1 = (V_1/V_2)^(gamma-1)`
For `CO_2` (triatomic gas), `gamma= 1.33`
`:. 150/300 = (10/V_2)^(0.33) = (10/V_2)^(1//3)`
`or 1/2 = (10/V_2)^(1//3) or 10/V_2 = 1/8 or V_2 = 80 L`.
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