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Q. Given that $1\, g$ of water in liquid phase has volume $1\, cm^3$ and in vapour phase $1671 \,cm^3$ at atmospheric pressure and the latent heat of vaporization of water is $2256\, J/g$; the change in the internal energy in joules for $1\, g$ of water at $373\, K$ when it changes from liquid phase to vapour phase at the same temperature is:

JEE MainJEE Main 2013Thermal Properties of Matter

Solution:

$\Delta Q =\Delta U +\Delta W \quad \Rightarrow 2256=\Delta U + P _{0} \Delta V =\Delta U +10^{5}\left(1670 \times 10^{-6}\right)$
$\Rightarrow \Delta U =2089 J$