Use R=8.3 J/mol-K wherever required. A bucket full of water is placed in a room

Use $\mathrm{R}=8.3 \mathrm{~J} / \mathrm{mol}-\mathrm{K}$ wherever required.

A bucket full of water is placed in a room at $15^{\circ} \mathrm{C}$ with initial relative humidity $40 \%$. The volume of the room is $50 \mathrm{~m}^{3}$. (a) How much water will evaporate? (b) If the room temperature is increased by $5^{\circ} \mathrm{C}$ how much more water will evaporate? The saturation vapour pressure of water at $15^{\circ} \mathrm{C}$ and $20^{\circ} \mathrm{C}$ are $1.6 \mathrm{kPa}$ and $2.4 \mathrm{kPa}$ respectively.