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Q. The first law of thermodynamics can be stated in the form $\Delta U=\Delta Q+\Delta W \, \Delta U$ is the increase in the internal energy of the system; $\Delta \,Q$ is the heat supplied to the system; $\Delta\, W$ is the external work done on the system. Which of the quantities $\Delta \,U, \Delta Q$ and $\Delta W$ are necessarily zero when the system is an ideal gas that undergoes a change at constant temperature?.

Thermodynamics

Solution:

$\Delta U=n C_{\nu} \Delta T=0$ if $\Delta T=0$.