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

Option: 2
$167$

Option: 3
$2089$

Option: 4
$1$

Answers (1)

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

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