To an ideal triatomic gas 800 ,cal heat energ | vedclass

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Question

(A) For an ideal triatomic gas (non-linear),the degrees of freedom $f = 6$ (neglecting vibrational modes).The molar heat capacity at constant pressure

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(A) For an ideal triatomic gas (non-linear),the degrees of freedom $f = 6$ (neglecting vibrational modes).The molar heat capacity at constant pressure is given by $C_p = \frac{f+2}{2} R = \frac{6+2}{2} R = 4R$.The heat supplied at constant pressure is $\Delta Q = n C_p \Delta T = n(4R) \Delta T = 800 \,cal$.The work done by the gas at constant pressure is $\Delta W = n R \Delta T$.From the heat equation,we have $n R \Delta T = \frac{800}{4} = 200 \,cal$.Therefore,the energy used by the gas in work done against the surroundings is $\Delta W = 200 \,cal$.

To an ideal triatomic gas $800 \,cal$ heat energy is given at constant pressure. If vibrational mode is neglected,then energy used by gas in work done against surroundings is ......... $cal$.

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