When a monoatomic gas is heated at constant p | vedclass

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(B) For a monoatomic gas,the molar heat capacity at constant volume is $C_V = \frac{3}{2}R$ and at constant pressure is $C_P = \frac{5}{2}R$.When heat

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$3/5$

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(B) For a monoatomic gas,the molar heat capacity at constant volume is $C_V = \frac{3}{2}R$ and at constant pressure is $C_P = \frac{5}{2}R$.When heat $\Delta Q$ is supplied at constant pressure,the total heat energy is given by $\Delta Q = \mu C_P \Delta T$.The change in internal energy is given by $\Delta U = \mu C_V \Delta T$.The fraction of heat energy used to increase internal energy is $\frac{\Delta U}{\Delta Q} = \frac{\mu C_V \Delta T}{\mu C_P \Delta T} = \frac{C_V}{C_P}$.Substituting the values,we get $\frac{\Delta U}{\Delta Q} = \frac{3/2 R}{5/2 R} = \frac{3}{5}$.

When a monoatomic gas is heated at constant pressure,what fraction of the heat energy supplied is used to increase the internal energy?

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