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exis [7]
3 years ago
7

Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u

nit of fuel energy used, the plant produces 0.34 units of electrical energy. Assuming continuous operation, determine the amount of nuclear fuel consumed by the plant per year.
Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:

The amount of nuclear fuel required is 1.24 kg.

Step-by-step explanation:

From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is

E=m\cdot c^2

where

'c' is the speed of light in free space

Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals

E=1200\times 10^6\times 3600\times 24\times 365=3.8\times 10^{16}Joules

Thus using the energy produced in the energy equivalence we get

3.8\times 10^{16}=mass\times (3\times 10^{8})^2\\\\\therefore mass=\frac{3.8\times 10^{16}}{9\times 10^{16}}=0.422kg

Now since the efficiency of conversion is 34% thus the fuel required equals

mass_{required}=\frac{0.422}{0.34}=1.24kg

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