Vapor pressure of water at various temperature is given in the table.
\[
\begin{array}{|l|c|c|c|c|c|}
\hline
\text{Temperature (in K)} & 284 & 289 & 294 & 299 & 310 \\
\hline
\text{Vapor pressure of water (in kPa)} & 1.28 & 1.80 & 2.50 & 3.40 & 6.40 \\
\hline
\end{array}
\]
An air and water vapor mixture at $100 \text{ kPa}$ with a relative humidity of $20 \%$ has a dry-bulb temperature of $310$ K. Assume latent heat of vaporization for water is $44 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and specific heat capacity of the air and water vapor mixture is $0.035 \mathrm{~kJ} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$. Which one of the following is the closest to its wet-bulb temperature (in $\text{K}$)?
- $284$
- $294$
- $310$
- $321$
