The heat energy supplied to a diatomic gas at | vedclass

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Question

(A) Given: Heat supplied at constant pressure, $Q_P = 210 \,J$.For a diatomic gas, the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$.

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(A) Given: Heat supplied at constant pressure, $Q_P = 210 \,J$.For a diatomic gas, the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$.The molar heat capacity at constant pressure is $C_P = C_V + R = \frac{5}{2}R + R = \frac{7}{2}R$.We know that $Q_P = n C_P \Delta T = 210 \,J$.Substituting $C_P$, we get $n (\frac{7}{2}R) \Delta T = 210$.Thus, $n R \Delta T = 210 	imes \frac{2}{7} = 60 \,J$.The work done by the gas at constant pressure is given by $W = P \Delta V = n R \Delta T$.Therefore, $W = 60 \,J$.

The heat energy supplied to a diatomic gas at constant pressure is $210 \,J$. Then, the work done by the gas is: (in $\,J$)

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