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Q.
We consider a thermodynamic system. If $\Delta U$ represents the increase in its internal energy and W the work done by the system, which of the following statements is true?
From first law of thermodynamics,
$\Delta Q = \Delta U + W$
For an adiabatic process,
$\Delta Q = 0 $
$\therefore \:\:\: \Delta U = - W$
For an isothermal process,
$\Delta U = 0$ $\because \:\: \Delta T = 0$
$\therefore \:\:\:\: \Delta Q = W $