Discussion
The enthalpy (in kJ/kg) of moist air is
Answer: A
The enthalpy of the moist air is about 85.93 kJ/kg of dry air.
Taking 0°C liquid water as the reference, the enthalpy is the sensible heat of the dry air plus that of the vapour, including its latent heat:
\[ \begin{aligned} h &= c_{a}T + H(\lambda_{0} + c_{v}T) \\ &= 1.005(30) + 0.0218(2502.3 + 1.884 \times 30) \\ &= 30.15 + 55.78 = 85.93\ \text{kJ/kg} \end{aligned} \]
Most of it is the latent heat carried by the water vapour. 31.38 kJ/kg is roughly the dry air term with the vapour's sensible heat only, which forgets the latent heat. The other values do not follow from the data.
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