Q. During an isothermal expansion of an ideal gas :

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Solution:

Temperature remains constant in an isothermal process
In an ideal gas, the internal energy depends only upon the temperature of the gas. When an ideal gas undergoes an isothermal change, there is no change in its internal energy
From first law of thermodynamics

For isothermal change

Hence, in an isothermal process in an ideal gas the heat absorbed by the gas is entirely used in the work done by the gas