An ideal diatomic gas is heated at constant p | vedclass

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(C) The heat supplied at constant pressure is given by $\Delta Q = n C_p \Delta T$.The work done by the gas at constant pressure is $\Delta W = p \Del

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$2/7$

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(C) The heat supplied at constant pressure is given by $\Delta Q = n C_p \Delta T$.The work done by the gas at constant pressure is $\Delta W = p \Delta V = n R \Delta T$.The ratio of the work done to the heat supplied is $\frac{\Delta W}{\Delta Q} = \frac{n R \Delta T}{n C_p \Delta T} = \frac{R}{C_p}$.Using the relation $R = C_p - C_V$,we get $\frac{\Delta W}{\Delta Q} = \frac{C_p - C_V}{C_p} = 1 - \frac{C_V}{C_p} = 1 - \frac{1}{\gamma}$.For a diatomic gas,the adiabatic index $\gamma = 7/5$.Therefore,the ratio is $1 - \frac{1}{7/5} = 1 - \frac{5}{7} = \frac{2}{7}$.

An ideal diatomic gas is heated at constant pressure. The ratio of the work done to the heat supplied is

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