Skip to main content
Ch 21: Heat Engines and Refrigerators
Chapter 21, Problem 21

A nuclear power plant generates 3000 MW of heat energy from nuclear reactions in the reactor's core. This energy is used to boil water and produce high-pressure steam at 300℃. The steam spins a turbine, which produces 1000 MW of electric power, then the steam is condensed and the water is cooled to 25℃ before starting the cycle again. b. What is the plant's actual efficiency?

Verified Solution

Video duration:
2m
This video solution was recommended by our tutors as helpful for the problem above.
Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Thermal Efficiency

Thermal efficiency is a measure of how well a power plant converts heat energy into useful work or electricity. It is calculated by dividing the useful output energy (in this case, electric power) by the input energy (heat energy from nuclear reactions). This concept is crucial for understanding the performance of energy systems and is typically expressed as a percentage.
Recommended video:
Guided course
06:01
Thermal Efficiency & The Second Law of Thermodynamics

Energy Conversion

Energy conversion refers to the process of changing energy from one form to another, such as converting thermal energy from boiling water into mechanical energy to spin a turbine. In a nuclear power plant, the heat generated from nuclear fission is used to produce steam, which then drives the turbine. Understanding this process is essential for analyzing how efficiently energy is transformed and utilized.
Recommended video:
Guided course
07:46
Unit Conversions

Heat Transfer

Heat transfer is the movement of thermal energy from one object or substance to another, which occurs in three main ways: conduction, convection, and radiation. In the context of a nuclear power plant, heat transfer is vital for boiling water to create steam and for cooling the steam back into water. This concept is important for evaluating the efficiency of the heat exchange processes within the plant.
Recommended video:
Guided course
05:14
Overview of Heat Transfer