$2.)$ Assume cooling water is provided to a power plant to remove $100MW$ from partially condensed

steam to convert it to all liquid water. The cooling water, which is extracted from and released

back into a local river, cannot have a temperature increase of more than $15C.$ Assume that the

heat exchanger is adiabatic or perfectly insulated.

a$.)$ Start with an open system energy balance and reduce it to simple terms.

b$.)$ How much energy is lost by the partially$-$condensed steam?

$($not a trick question $-$ no calculations needed!$)$

$100$ MW

c$.)$ How much energy is gained by cooling water?

$($not a trick question $-$ no calculations needed!$)$

$100$ MW

d$.)$ Using your answer to part c$.),$ what is the minimum amount of cooling water from the

river $(k\frac{g}{s})?$

e$.)$ Convert your answer from part d$.)$ to units of $f{t}^{\frac{3}{s}}.$

f$.)$ If the velocity of water through pipes is $6f\frac{t}{s},$ and if $3$ identical pipes carry this water from

the river to the plant and back, what is the diameter of the three pipes?