A large electrical power station generates $1050$ MW of electricity with an efficiency of $37\mathrm{.}0\%.$

$($a$)$

Calculate the heat transfer $($in J$)$ to the power station, Qh$,$ in one day.

J

$($b$)$

How much heat transfer Qc $($in J$)$ occurs to the environment in one day?

J

$($c$)$

If the heat transfer in the cooling towers is from $35\mathrm{.}0$C water into the local air mass, which increases in temperature from $18\mathrm{.}0$C to $20\mathrm{.}0$C$,$ what is the total increase in entropy $($in J$/$K$)$ due to this heat transfer?

J$/$K

$($d$)$

How much energy $($in J$)$ becomes unavailable to do work because of this increase in entropy, assuming an $18\mathrm{.}0$C lowest temperature? $($Part of Qc could be utilized to operate heat engines or for simple space heating, but it rarely is$.)$

J