College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) A nuclear power plant converts energy from nuclear fission into electricity with an efficiency of 35.0%. How much mass is destroyed in one year to produce a continuous 1000 MW of electric power? (b) Do you think it would be possible to observe this mass loss if the total mass of the fuel is 104 kg?

To determine

(a)

The mass to produce a continuous 1000MWof electric power in one year.

Explanation

Given:

Mass of electron, P=1000â€‰MW

Speed of light, c=3Ã—108â€‰m/s

Formula used:

Formula to calculate the mass in one year is,

â€ƒâ€ƒP=Etâ€ƒâ€ƒâ€ƒâ€ƒ...... (I)

Calculation:

Electric power is defined as the rate of electrical energy consumption.

Simplify equation (I) to calculate the energy consumed in one year.

â€ƒâ€ƒP=EtE=Pt

Substitute 1000â€‰MWfor Pand 1â€‰yearfor tto calculate the energy consumed in the above equation.

â€ƒâ€ƒE=1000â€‰MWÃ—1â€‰year

Convert MWinto J/s.

â€ƒâ€ƒ1000â€‰MW=1000Ã—106â€‰J/s=108â€‰J/s

Convert year into seconds.

â€ƒâ€ƒ1â€‰year=1Ã—(365.24â€‰days1â€‰year)Ã—(24â€‰hours1â€‰day)Ã—(3600â€‰seconds1â€‰hour)=31.556Ã—106â€‰s

Solve the above equation to calculate energy consumed.

â€ƒâ€ƒE=(1000Ã—106â€‰J/s)Ã—(31.556Ã—106â€‰s)=3

To determine

(b)

Whether 1kgmass loss is observable or not if the total mass of the fuel is 104kg.

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