Thermal Efficiency of a power plant

PERE'S LAWIn summary, the conversation discusses the electric output and cooling water flow rate of a power plant, as well as the temperature of the water before and after entering the plant. The task at hand is to calculate the power plant's thermal efficiency. The conversation mentions using the formula W = Qh - Qc and suggests solving for Qc in order to find Qh. The use of Ampere's Law is also mentioned.
  • #1
jalamb90
2
0

Homework Statement


The electric output of a power plant is 750 MW. Cooling water flows through the power plant at the rate 1.0*10^8 L/hr. The cooling water enters the plant at 16 degrees C and exits at 27 degrees C. What is the poer plant's thermal efficiency?


Homework Equations


W = Qh - Qc
n=Wout/Qh


The Attempt at a Solution


w=Qh-Qc
790MW=Qh-Qc
tried to solve for Qc in order to find Qh but couldn't figur out how to get Qc from 1.0*10^8 L/hr to MW.
 
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  • #2
jalamb90 said:
...
The electric output of a power plant is 750 MW. Cooling water flows through the power plant at the rate 1.0*10^8 L/hr. The cooling water enters the plant at 16 degrees C and exits at 27 degrees C. What is the poer plant's thermal efficiency?
...
w=Qh-Qc
790MW=Qh-Qc
tried to solve for Qc in order to find Qh but couldn't figur out how to get Qc from 1.0*10^8 L/hr to MW.
What is the rate of heat flow to the cold reservoir (how much heat does it take to raise 10^8 L of water from 16 to 27 degrees C. ?)

That will give you Qc which will then enable you to find Qh and the efficiency.

AM
 

FAQ: Thermal Efficiency of a power plant

What is thermal efficiency of a power plant?

The thermal efficiency of a power plant is a measure of how much of the heat energy produced by the combustion of fuel is converted into usable electricity. It is expressed as a percentage, with higher percentages indicating a more efficient power plant.

How is thermal efficiency calculated?

Thermal efficiency is calculated by dividing the net electricity output by the total heat input. Net electricity output is the amount of electricity generated, while total heat input is the total amount of heat energy produced by the combustion of fuel.

What factors affect the thermal efficiency of a power plant?

The thermal efficiency of a power plant is affected by various factors, including the type of fuel used, the age and condition of the equipment, and the design and operation of the plant. Higher temperatures and pressures in the combustion process can also increase thermal efficiency.

How can thermal efficiency be improved?

Thermal efficiency can be improved by implementing technologies such as combined heat and power systems, which use waste heat to generate additional electricity. Regular maintenance and upgrades to equipment can also improve efficiency, as well as using more efficient fuels and improving the combustion process.

Why is thermal efficiency important for power plants?

Thermal efficiency is important for power plants because it affects the cost and environmental impact of producing electricity. A more efficient power plant will use less fuel and produce less emissions, making it more cost-effective and environmentally friendly. It also allows for more electricity to be generated with the same amount of fuel, increasing the overall productivity of the power plant.

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