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  4. Assertion In adiabatic process, work is independent of the path. Reason In adiabatic process, work done is equal to negative of change in internal energy.

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Q. Assertion In adiabatic process, work is independent of the path.
Reason In adiabatic process, work done is equal to negative of change in internal energy.

Thermodynamics

Solution:

In adiabatic process, heat transfer to the thermodynamic system is zero,
i.e. $\Delta Q=0$.
Hence, by first law of thermodynamics,
$Q=0=\Delta U+\Delta W $
$\therefore W=-\Delta U$
So, work done is equal to negative of change in internal energy.
Since, the internal energy is a function of thermodynamic state of the system.
It does not depend on the path, therefore work done is also independent of path in adiabatic process.
Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.