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 ....... \(J\)

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Correct Answer

(C) \(2089\)

Step-by-step Solution

Detailed explanation

\(W = P\left( {dV} \right)\)\( = 0.01 \times {10^5}\left( {1671 - 1} \right) \times {10^{ - 6}} = 167\,J\)

\(Q = \Delta U + W\)

\(\Delta U = Q - W = mL - 167\)\( = 2256 - 167 = 2089\,J\)

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