Heat is supplied to a diatomic gas at constan | vedclass

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Question

(C) For a gas at constant pressure,the heat supplied is given by $\Delta Q = n C_p \Delta T$.The change in internal energy is given by $\Delta U = n C

Vedclass · Accepted Answer

$7 : 5 : 2$

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(C) For a gas at constant pressure,the heat supplied is given by $\Delta Q = n C_p \Delta T$.The change in internal energy is given by $\Delta U = n C_v \Delta T$.The work done is given by $\Delta W = n R \Delta T$.For a diatomic gas,the molar heat capacities are $C_p = \frac{7}{2}R$ and $C_v = \frac{5}{2}R$.Substituting these values into the ratios:$\Delta Q : \Delta U : \Delta W = n (\frac{7}{2}R) \Delta T : n (\frac{5}{2}R) \Delta T : n R \Delta T$.Dividing by $n R \Delta T$,we get the ratio $\frac{7}{2} : \frac{5}{2} : 1$.Multiplying by $2$,we get the ratio $7 : 5 : 2$.

Heat is supplied to a diatomic gas at constant pressure. The ratio of $\Delta Q : \Delta U : \Delta W$ is

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