5. Consider the change in phase from liquid water to water vapour at \( 100^{\circ} \mathrm{C} \). If the vapour pressure is 1 atm and the specific volumes of vapour and liquid are \( 1.8 \mathrm{~m}^{3} \mathrm{~kg}^{-1} \) and \( 0.001 \mathrm{~m}^{3} \mathrm{~kg}^{-1} \). If the latent heat of vapourisation of water at atmospheric pressure is \( 22.6 \times 10^{5} \mathrm{~J} \mathrm{Kg}^{-1} \),
(a) Determine the percentage of the heat of vapourisation that goes into the increase of internal energy. (b) What happens to the remaining heat?
(c) Determine by how much the specific entropy of steam exceeds that of liquid water.
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6. Examine the following expression for the work done by a real gas: \( W=n R T \ln \left[\frac{\left(v_{b}-b\right)}{\left(v_{a}-b\right)}\right] \)
(a) What processes can it be applied to?