Problem $2.$ Two$-$thirds of the energy content of fuel entering a $1,000$ MW nuclear power plant is

removed by condenser cooling water that is withdrawn from a local river $($there are no stack

losses; i$.$e$.$ the plant efficiency is $\frac{1}{3}).$ The river has an upstream flow of $100m^3$ and a

temperature of $20C.($Note: This problem is similar to the one done in class, except it is simpler

no stack losses!$)$

$($a$)$ Setup your system diagram and show all energy and mass flows. Include your knowns

and unknowns. You will need to solve for some of the values using plant efficiency and

stack losses, if applicable. $(5$ pts$)$

$($b$)$ If the cooling water is only allowed to rise in temperature by $10C,$ what flow rate from

the river would be required? $(5$ pts$)$

$($c$)$ How much would the river temperature rise from the heated cooling water? $(5$ pts$)$