Question

Nuclear power plants convert the energy released in fission reactions to electric energy. Consider one such power plant that generates 1.00 GW of electric power. The fission of each uranium-235 nucleus releases 250 MeV of energy. The power released by the fission reactions is converted to electric power with a 37.0% efficiency. How much uranium-235 per day, by mass in kg, undergoes fission at this power plant?

Answer #1

Nuclear power stations convert the energy released in fission
reactions to electric energy. Consider one such power station that
generates 1.00 GW of electric power. The fission of each
uranium-235 nucleus releases 250 MeV of energy. The power released
by the fission reactions is converted to electric power with a
36.0% efficiency. How much uranium-235 per day, by mass in kg,
undergoes fission at this power station?
kg

Nuclear Fission
If you consider all of the possible fission chains starting
with U-235, the average amount of energy released per fission is
about 200 MeV. A typical nuclear fission power plant produces 850
Megawatts of electrical power. Assume the plant has an overall
efficiency of 30.0% (so 30% of the energy produced by fission is
converted into electrical energy). Calculate the total mass of
U-235 (in kg) consumed in one year.
For informational purposes, if you take the total...

A typical nuclear fission power plant produces about 1.00 GW of
electrical power. Assume the plant has an overall efficiency of
36.0% and each fission produces 250 MeV of thermal energy.
Calculate the mass of 235U consumed each day.
_____ kg

A nuclear power plant operates at 40.0% efficiency with a
continuous production of 1012 MW of usable power in 1.00 year and
consumes 1.04×106 g of uranium-235 in this time period. What is the
energy in joules released by the fission of a single uranium-235
atom?

When uranium-235 undergoes fission, about 0.1% of the original
mass is released as energy.
Calculate how much uranium-235 must undergo fission per day in a
nuclear reactor that provides energy to a 100 MW device.

A nuclear power plant operates at 40.0% efficiency with a
continuous production of 1072 MW of usable power in 1.00 year and
consumes 1.10×106 g of uranium-235 in this time period. What is the
energy in joules released by the fission of a single uranium-235
atom? Express your answer numerically in joules per atom.

QUESTION 15
A nuclear power plant operates at 40.0% efficiency with a
continuous production of 1042 MW of usable power in 1.00 year and
consumes 1.07×106 g of uranium-235 in this time period.
What is the energy in joules released by the fission of a single
uranium-235 atom?
Express your answer numerically in joules per atom.

Burning 20 tons of coal provides about joules, which
is approximately the annual energy requirement of an average person
in the United States. If this amount of energy was provided by the
electricity generated by the fission of uranium-235 in a nuclear
reactor, instead, what mass of natural uranium would be required?
About 0.7% of natural uranium is uranium-235 (almost all the rest
is uranium-238, which does not fission like U-235 does). Assume
that the fission of each U-235 atom provides...

Part A
Convert the 200 MeV per nucleus energy that is released by 235U
fission to units of joules per kilogram.
Express your answer using two significant figures.
Part B
By comparison, the energy release by burning coal is
3.3×107J/kg. Find the ratio of the energy released by 235U fission
to the energy from coal per unit mass .
Express your answer using two significant figures.

Burning 20 tons of coal provides about 5 \times 10^{11} joules,
which is approximately the annual energy requirement of an average
person in the United States. If this amount of energy was provided
by the electricity generated by the fission of uranium-235 in a
nuclear reactor, instead, what mass of natural uranium would be
required? About 0.7% of natural uranium is uranium-235 (almost all
the rest is uranium-238, which does not fission like U-235 does).
Assume that the fission of...

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