   Chapter 32, Problem 61PE

Chapter
Section
Textbook Problem

Integrated ConceptsOne scheme to put nuclear weapons to nonmilitary use is to explode them underground in a geologically stable region and extract the geothermal energy for electricity production. There was a total yield of about 4,000 MT in the combined arsenals in 2006. If 1.00 MT per day could be converted to electricity with an ef?ciency of 10.0%:(a) What would the average electrical power output be?(b) How many years would the arsenal last at this rate?

To determine

(a)

The average electrical power output if 1.00 MT of energy could be converted into electricity at an efficiency of 10.0%.

Explanation

Given:

Energy converted into electricity per day E0=1 MT

Efficiency of conversion

η=10.0%

Formula used:

Power is rate of transfer of energy.

P=Et

Calculation:

Express the energy yield in joules.

E0=1 MT×4.184× 10 15J1 MT=4.184×1015J

Calculate the energy converted into electrical energy.

E=E0η=10.0100×4.184×1015J=4

To determine

(b)

The time for which the energy lasts.

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