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23 Nov 2019

A particular nuclear fission reaction produces 1.5 x 10 ^2 MeV perfission. How many fissions per second are required to generate 3.00 x10^8 W of power?

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Sixta Kovacek
Sixta KovacekLv2
5 Apr 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. Incident X-rays in a Compton scattering experimenthaveawavelength of 0.400 nm.
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2. Electrons have been removed from a beryllium atom (Z =4)untilonly one remains.
Determine the energy of the photon that can be emittediftheremaining electron is in the n = 2
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3. What is the mass defect of120Sn50(atomicmass = 119.902 200 u)? Thehydrogen atom has a mass of 1.00783 u;and the neutron has a mass of1.008 67 u. (uc2=931.5 MeV;Pleasegive the answer in MeV/c2.)

4. A particular nuclear fission reaction produces 1.50 ? 102MeVperfission. How many
fissions per second are required to generate 3.00 × 108Wofpower?
(a) 2.00 × 1016 (c) 3.20 × 1018 (e) 6.02×1023
(b) 5.25 × 1017 (d) 1.25 × 1019

Nuclear reactors generate power by harnessing the energy fromnuclear fission. In a fission reaction, uranium-235 absorbs aneutron, bringing it into a highly unstable state as uranium-236.This state almost immediately breaks apart into two smallerfragments, releasing energy. One typical reaction is

^{235} _{\ 92} {\rm U} + ^{1}_{0}{\rm n} \rightarrow \ ^{140} _{\54} {\rm Xe} + ^{94} _{38} {\rm Sr} + 2^{1} _{0} {\rm n},
where ^{1} _{0} {\rm n} indicates a neutron. In this problem,assume that all fission reactions are of this kind. In fact, manydifferent fission reactions go on inside a reactor, but all havesimilar reaction energies, so it is reasonable to calculate withjust one. The products of this reaction are unstable and decayshortly after fission, releasing more energy. In this problem, youwill ignore the extra energy contributed by these secondarydecays.

You will need the following mass data:

* mass of ^{235} _{\ 92} {\rm U} = 235.04393\;{\rm u},
* mass of ^{140} _{\ 54} {\rm Xe} = 139.92144\;{\rm u},
* mass of ^{94} _{38} {\rm Sr} = 93.91523\;{\rm u}, and
* mass of ^{1} _{0} {\rm n} = 1.008665\;{\rm u}.

a. What is the reaction energy Q of this reaction? Use c^2 =931.5\; {\rm MeV/u}.
Express your answer in millions of electron volts to threesignificant figures.
Q =


{\rm MeV}


Part B
Using fission, what mass m of uranium-235 would be necessary tosupply all of the energy that the United States uses in a year,roughly 1.0 \times 10^{19}\; {\rm J}?
Express your answer in kilograms to two significant figures.
m =


{\rm kg}



Please answer fully.... thank you

How many fission reactions are required to light a 120- lightbulb for 3.0 ? Assume an energy release of 212 per fission reaction and a 30 conversion efficiency.

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