- #1

- 376

- 0

## Homework Statement

a power plant generates 2000MW of heat energy from nuclear reactions in the reactors core. this energy is used to boil water and produce hight pressure steam at 300degreeC. the steam spins a turbine, which produces 700MW of electric power, then the steam is condensed and the water is cooled to 30degreeC before starting the cycle again.

a.what is the max possible thermal efficiency of the power plant?

b.what is the plants actual efficiency?

c.cooling water from a river flows through the condenser at the rate of 1.2x10^8L/hr. if the river water enters the condenser at 18degreeC what is is exit temperature?

## Homework Equations

efficiency(carnot)=1-(Tc/Th)

efficiency=Wout/Qh

Q=mc[tex]\Delta[/tex]T

## The Attempt at a Solution

a. 1-(303/573)=47%

b. Wout/Qh=Power/(Qh/t)=7x10^8/2x10^9=35%

c. now the others were easy (i think lol) this one kinda gets me) what I've done is,

Power=(Qh/t)-(Qc/t) therefore (Qc/t)=(Qh/t)-Power=1.3x10^9W

then 1.2x10^8L/hr*3600s=33333.33L/s

so Q=mc[tex]\Delta[/tex]T

so Tf=(Q/(mc))+Ti=(1.3x10^9/33333.33*4190)+291=44.2degreeC

now i seen this same question in another thread, but their specific heat was 4160? and they also did something weird, i don't understand... but i don't think mine is right, can anyone help me, or confirm that i am right?