Air enters the bench top cooling tower used in the lab, at $20$ and $10C$ for the dry bub terpecature and the wet bulb temperature respectively, and exits at the top of the column siturated with watir at as

a$)$ To maintain the process at steady state, theoretically, what is the flowrate of the water mult up $m(k\frac{g}{s})$ that needs to be added to the make$-$up tank$,$ if the pressure utrop p; acrows the orifice at the top of the tower is $12mm{H}_{1}O?($t point$)$

b$)$ The water in the load tank is being heated by a heater with a power of $3$ kw and mocrutitat by a pump that delivers $P$ of $0\mathrm{.}25kW.$ If the temperature of the make$-$up water $s2$~~$C$ perfom Energy Balance around the cooling tower and estimate the losses to the wurpanthig $($t pout$)$