Problem $1\mathrm{.}4.$ A Palm Spring golf course has requested a

permit to install a $40000f{t}^2$ pond to enhance the beauty of its

facilities. Since the evaporation rates are very high in Palm

Springs, it is likely they will need to pump a lot of

groundwater to keep the pond full. The city has hired you $($a

water resources engineer$)$ to determine how much water needs

to be pumped per year in order to keep the pond filled. There

is a small creek that discharges an average of $0\mathrm{.}25\frac{m^3}{s}$ into

the pond. The outlet valve from the pond releases an average

rate of $0\mathrm{.}30\frac{m^3}{s}($to keep the pond from getting stagnant$).$

Precipitation on the pond is $260m\frac{m}{?}$ year, and the annual

evaporation is estimated to be $105$ inches$/$year$.$ The pond will

be lined with concrete to prevent any drainage or seepage

from the bottom. Using a water balance, what volume $($on

average$)$ of groundwater $($in cubic meters$)$ must be added to

the lake each year to keep the pond at a constant level?

Draw a schematic of the problem to identify the control

volume and the relevant fluxes. Clearly write out$/$define your

water balance equation and variables along with any

assumptions you make.Problem $1\mathrm{.}4.$ A Palm Spring golf course has requested a

permit to install a $40000f{t}^2$ pond to enhance the beauty of its

facilities. Since the evaporation rates are very high in Palm

Springs, it is likely they will need to pump a lot of

groundwater to keep the pond full. The city has hired you $($a

water resources engineer$)$ to determine how much water needs

to be pumped per year in order to keep the pond filled. There

is a small creek that discharges an average of $0\mathrm{.}25\frac{m^3}{s}$ into

the pond. The outlet valve from the pond releases an average

rate of $0\mathrm{.}30\frac{m^3}{s}($to keep the pond from getting stagnant$).$

Precipitation on the pond is $260m\frac{m}{?}$ year, and the annual

evaporation is estimated to be $105$ inches$/$year$.$ The pond will

be lined with concrete to prevent any drainage or seepage

from the bottom. Using a water balance, what volume $($on

average$)$ of groundwater $($in cubic meters$)$ must be added to

the lake each year to keep the pond at a constant level?

Draw a schematic of the problem to identify the control

volume and the relevant fluxes. Clearly write out$/$define your

water balance equation and variables along with any

assumptions you make.