Given below are two statements:
Statement $I:$ If heat is added to a system, its temperature must increase.
Statement $II:$ If positive work is done by a system in a thermodynamic process, its volume must increase.
In the light of the above statements, choose the correct answer from the options given below
JEE MAIN 2023, Medium
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Statement $I:$ $\Delta Q > 0$
According to $1^{\text {st }}$ law of thermodynamics
$\Delta Q =\Delta U + W$
If $\Delta Q > 0, \Delta U < 0$ and $W > 0$ is also possible.
Hence $\Delta T < 0$, so $T$ decreases.
Statement $I$ is false
Statement $II:$ W $ > 0$
$\therefore \int Pdv > 0$
Therefore volume of system must increase during positive work done by the system.
Statement $II$ is true
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