A nuclear reactor is operating at a certain power level, with its multiplication factor k adjusted to unity. If the control rods are used to reduce the power output of the reactor to 25% of its former value, is the multiplication factor now a little less than unity, substantially less than unity, or still equal to unity?

Short Answer

Expert verified

The multiplication factor for power output to 25% of its former value remains unity.

Step by step solution

01

Multiplication Factor

The ratio of the number of neutrons for a particular generation of power to the number of neutrons initially for the same power generation is called the multiplication factor.

02

Whether the multiplication factor is less than unity or equal to the unity

The multiplication factor for power output to 25% of its former value remains unity because the control rod provides a reduced number of neutrons. The number of neutrons provided by the control rod completes the deficiency of neutrons due to a reduction in power output.

Therefore, the multiplication factor for power output to 25% of its former value remains unity.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calculate the height of the Coulomb barrier for the head-on collision of two deuterons, with effective radius2.1 fm.

The neutron generation time tgenin a reactor is the average time needed for a fast neutron emitted in one fission event to be slowed to thermal energies by the moderator and then initiate another fission event. Suppose the power output of a reactor at timeis t=0is P0. Show that the power output a time tlater is P(t), whererole="math" localid="1661757074768" P(t)=P0tt/tgen and kis the multiplication factor. For constant power output,k=1.

Calculate the Coulomb barrier height for two7Linuclei that are fired at each other with the same initial kinetic energy K.(Hint: Use Eq. 42-3 to calculate the radii of the nuclei.)

Show that the energy released when three alpha particles fuse to form12Cis7.27MeV. The atomic mass ofrole="math" localid="1661752248572" H4eis4.0026u, and that of12Cis 12.0000u.

The uncompressed radius of the fuel pellet of Sample Problem 43.05 is 20μm. Suppose that the compressed fuel pellet “burns” with an efficiency of 10%—that is, only 10% of the deuterons and 10% of the tritons participate in the fusion reaction of Eq. 43-15. (a) How much energy is released in each such micro explosion of a pellet? (b) To how much TNT is each such pellet equivalent? The heat of combustion of TNT is 4.6 MJ/kg . (c) If a fusion reactor is constructed on the basis of 100 micro explosions per second, what power would be generated? (Part of this power would be used to operate the lasers.)

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free