   Chapter 32, Problem 49PE

Chapter
Section
Textbook Problem

The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical.(a) What is the thermal nuclear power output in megawatts?(b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV?(c) What mass of 235U is fissioned in one year of full−power operation?

To determine

(a)

The thermal nuclear power output in megawatts of a large nuclear reactor facility producing 900 MW.

Explanation

Given:

The electrical power output of the reactor

Pe=900 MW

Efficiency of the reactor

η=35%

Formula used:

The thermal power output of the reactor is given by,

Pt=Peη

Calculation:

The fuel inside the reactor undergoes fission and generates thermal energy

To determine

(b)

The number of fissions of the nucleus U235 required to generate a thermal power of 2571 MW.

To determine

(c)

The mass of U235 required to generate the energy needed to operate the reactor for a year.

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