Given that 1 g of water in liquid phase has volume 1 cm ³ and in… | JEE Main 2013 (22 Apr, Shift 1)

Q49JEE Main 2013 · 22 APR · SHIFT 1Medium

Calorimetry, Latent Heat & Mechanical Equivalent of Heat

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:

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Answer: (c)

$\Delta U = Q - P\Delta V$ , with $Q = 2256\text{ J}$ .
$P\Delta V = 1.013 \times 10^5 \times 1670 \times 10^{-6} \approx 167\text{ J}$
$\Delta U = 2256 - 167 = 2089\text{ J}$
So the answer is (c) 2089.

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