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The relative humidity of air (in percentage) is

  • A.62.82
  • B.68.22
  • C.86.62
  • D.81.80

Answer: D

The relative humidity is about 81.80%.

Saturation pressure at 30°C, then the actual vapour pressure from the humidity, using 18/29 = 0.6207:

\[ \begin{aligned} \ln p_{w}^{0} &= 18.6556 - \frac{5217.635}{303} = 1.4357 \\ p_{w}^{0} &= 4.203\ \text{kPa} \\ p_{w} &= \frac{0.0218(101.325)}{0.6207 + 0.0218} = 3.438\ \text{kPa} \\ RH &= \frac{3.438}{4.203} = 81.8\% \end{aligned} \]

The other options do not follow from the given humidity and vapour pressure equation.

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