A typical nuclear power plant generates electricity at the rate of 900 MW . The efficiency of transforming thermal energy into electrical energy is and the plant runs at full capacity for 80% of the year. (Nuclear power plants are down about 20 of the time for maintenance and refueling.)

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This is the question: Problem 79 Chapter 7inPhysics: For Scientistsand Engineers 6th ed.

A large nuclear power plants produces 1000 MW of electrical powerbynuclear fission.

(a) By how many kilograms does the mass of the nuclearfueldecrease in one year? (Assume an efficiency of 33 percent foranuclear power plant.)

(b) In a coal-burning power plant, each kilogram ofcoalreleases 31 MJ of thermal energy when burned. How manykilograms ofcoal are needed each year for a 1000-MW coal burningpower plant?(Assume an efficiency of 38 percent for a coal-burningpowerplant.)

In a typical chemical reaction, 10^-10 of the mass ofthereactants is transformed into energy. That is, if10¹⁰kg of coal and oxygen are burned, the mass of theresulting gases,ash, etc. will be (10¹⁰ - 1) kg and theenergy producedwill be (1 kg)c². For a typical nuclearfissionreaction, about 10^-3 of the mass is transformedintoenergy. Consider a large electrical power plant thatproduces10⁸ Watts of electrical power. Assume itsefficiency forconverting heat into electricity is 40%.
a) How much mass is transformed into (heat) energy when the plantisoperated for one day?
b) If the plant is powered by a chemical reaction (e.g.burningcoal, oil or gas), what mass of reactants (fuel + oxygen) isneededin order to operate the plant for one day?
c) If the plant is powered by nuclear fission, what mass ofreactant(fissionable material) is needed in order to operate theplant forone day?

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A typical nuclear power plant generates electricity at the rate of 900 MW . The efficiency of transforming thermal energy into electrical energy is and the plant runs at full capacity for 80% of the year. (Nuclear power plants are down about 20 of the time for maintenance and refueling.)

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