If the work done by the expanding gas equals the heat added, despite the constant energy of the system of the gas, the temperature can stay constant.
An ideal gas is one where there were no inter - molecular attraction forces and all collisions involving atoms and molecules are entirely elastic. It can be seen as a group of perfectly nearly spherical that collide but do not otherwise interact with one another.
Temperature doesn't vary, but pressure and volume do. The energy content will not change throughout this procedure because there is no exchange of labor or heat with the environment. As a result, a perfect gas's internal energy depends solely on its temperature.
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