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Chapter 36: Q. 67 (page 1062)

A typical nuclear power plant generates electricity at the rate of 1000MW. The efficiency of transforming thermal energy into electrical energy is 13and 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.)

a. How much thermal energy does the plant generate in one year?

b. What mass of uranium is transformed into energy in one year?

Short Answer

Expert verified

a. The thermal energy garneted is 2.52×1015J.

b. Mass of uranium is0.083kg.

Step by step solution

01

Part (a) Step 1: Given information

We have given,

power generates =1000MW

We have to find the thermal energy generated by the plant.

02

Simplify

In one year the seconds =60×60×24×365=31536000s

then using the relation between power and energy we can write,

E=PtE=1000×106W×31536000sE=2.52×1015J

03

Part (b) Step 1: Given information

we have given,

Efficiency =13

capacity = 80%

we have to find the mass of uranium.

04

Simplify

since,

E=mc2m=Ec2m=2.52×1015J(3×108m/s)2m=0.083kg

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