When an ideal diatomic gas is heated at const | vedclass

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(D) The fraction of supplied heat energy that increases the internal energy of the gas is given by the ratio of the change in internal energy to the h

Vedclass · Accepted Answer

$5/7$

Vedclass · Answer

(D) The fraction of supplied heat energy that increases the internal energy of the gas is given by the ratio of the change in internal energy to the heat supplied at constant pressure.$f = \frac{\Delta U}{(\Delta Q)_{P}}$Since the change in internal energy $\Delta U$ is always equal to the heat supplied at constant volume $(\Delta Q)_{V} = \mu C_{V} \Delta T$,we have:$f = \frac{\mu C_{V} \Delta T}{\mu C_{P} \Delta T} = \frac{C_{V}}{C_{P}} = \frac{1}{\gamma}$For an ideal diatomic gas,the adiabatic index $\gamma = \frac{C_{P}}{C_{V}} = \frac{7}{5}$.Therefore,the fraction $f = \frac{1}{7/5} = \frac{5}{7}$.

When an ideal diatomic gas is heated at constant pressure,the fraction of the heat energy supplied which increases the internal energy of the gas is:

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