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  4. During isothermal expansion of an ideal gas, its

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Q. During isothermal expansion of an ideal gas, its

AIPMTAIPMT 1994Thermodynamics

Solution:

An isothermal process is a change of a system, in which the temperature remains constant. For an ideal gas during an isothermal expansion the enthalpy, as well as internal energy, remains constant.

During isothermal expansion of an ideal gas, $\Delta E =0, \Delta T =0$

From the definition of enthalpy, $H = E + PV$

or $\Delta H =\Delta E +\Delta( PV )$

or $\Delta H =\Delta E +\Delta( nRT )$ Since, PV=nRT for an ideal gas

or $\Delta H =\Delta E + nR \Delta T$

or $\Delta H =0$