Vapor pressure of water at various temperatures is given in the table below: $$\genfrac{}{}{0pt}{}{\text{Temperature (in K)}}{\text{Vapor pressure (in kPa)}} \quad \genfrac{}{}{0pt}{}{284}{1.28} \quad \genfrac{}{}{0pt}{}{289}{1.80} \quad \genfrac{}{}{0pt}{}{294}{2.50} \quad \genfrac{}{}{0pt}{}{299}{3.40} \quad \genfrac{}{}{0pt}{}{310}{6.40}$$ An air and water vapor mixture at $100 \text{ kPa}$ with a relative humidity of $20\%$ has a dry-bulb temperature of $310 \text{ K}$. Assume the latent heat of vaporization for water is $44 \text{ kJ mol}^{-1}$ and the specific heat capacity of the air and water vapor mixture is $0.035 \text{ kJ mol}^{-1}\text{ K}^{-1}$. Which one of the following is the closest to its wet-bulb temperature (in K)?