Posted by **Dan** on Monday, December 6, 2010 at 5:47pm.

A town is planning on using the water flowing through a river at a rate of 5.0X10^6 kg/s to carry away the heat from a new power plant. Environmental studies indicate that the temperature of the river should only increase by 0.50ºC. The maximum design efficiency for this plant is 30.0%. What is the maximum possible power this plant can produce?

- physics -
**Lalala**, Thursday, February 10, 2011 at 6:34pm
Equations you will need:

Q = mc deltaT

e = 1 - (Qc/Qh)

The first thing you need to realize is that when you're calculating Q it's Qc, because that is the heat going into the water and therefore out of the power station. So then you can plug that into e = 1- (Qc/Qh) and solve for Qh.

That isn't the answer yet, though, because it isn't asking how much heat the engine uses (input heat is Qh). It's asking how much total energy it can produce.

And now it's very simple because you know Qh, the total heat it uses, and you know the efficiency, the amount of that heat that can be used to do work. So you multiply Qh by the efficiency and THAT's the answer.

## Answer this Question

## Related Questions

- phys - A town is planning on using the water flowing through a river at a rate ...
- Physics - A nuclear power plant has an electrical power output of 1200 MW and ...
- physics - A nuclear power plant has an electrical power output of 1900 MW and ...
- Physics - A nuclear power plant has an electrical power output of 1200 MW and ...
- Physics - A nuclear power plant has an electrical power output of 1200 MW and ...
- Physics - A fossil-fuel power plant that generates 1000MW of electrical power ...
- PHYSICS NEED HELP FAST - A power plant has a power output of 1055 MW and ...
- physics - A power station with an efficiency of 0.35 generates 10^8 W of ...
- Physics - A power station with an efficiency of 0.4 generates 10(to the power of...
- Physics - A nuclear power plant generates (output) 500 mw. It is 34% efficient. ...