A lake initially contains $20,000kg$ of water and has a uniform temperature of $20C.$ The ambient pressure is $P=1$ bar. During the course of a day, the following events affecting the lake occur:

$200kg$ of rain falls into the lake. The rainwater has a temperature of $25C.$

Some water evaporates from the lake.

Heat is both added to $($sunlight$)$ and removed from $($convection into the cooler air$)$ the lake.

If you need the heat capacity of LIQUID water, use the approximation $C_V{C}_{P}4\mathrm{.}184\frac{J}{g}*C.$

If $200$ kg of water evaporated, and at the end of the day the tenperature of thr lake is again a uniform $20\backslash$deg C$,$ calculate thr NET heat amount if hear that was added or removed from the lake