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Q. Identity the graph (s) which correctly represents an isotherm at temperatures $T_{1}$ and $T_{2}\left(T_{2}>T_{1}\right)$.

Thermodynamics

Solution:

For isothermal process, $p V=$ constant.
Therefore, $p$ - $V$ graph is a rectangular hyperbola.
Since, $ T_{2}>T_{1}$
$\Rightarrow (p V)_{\text {at } T_{2}}>(p V)_{\text {at } T_{1}}$
Thus, the graph given in option (a) correctly represents the given situation.