Concept explainers
(a)
The total power generated by the reactor.
(a)
Answer to Problem 25P
The total power generated by the reactor is
Explanation of Solution
Write the equation for the efficiency of the reactor.
Here,
Rewrite the above equation for
Conclusion:
Substitute
Therefore, the total power generated by the reactor is
(b)
The amount of power discharged to the environment as waste heat.
(b)
Answer to Problem 25P
The amount of power discharged to the environment as waste heat is
Explanation of Solution
Write the equation for the amount of power discharged to the environment as waste heat.
Here,
Conclusion:
Substitute
Therefore, the amount of power discharged to the environment as waste heat is
(c)
The rate of fission events in the reactor core.
(c)
Answer to Problem 25P
The rate of fission events in the reactor core is
Explanation of Solution
The value of
Write the equation for the rate of fission events in the reactor core
Here,
Conclusion:
The value of
Substitute
Therefore, the rate of fission events in the reactor core is
(d)
The mass of
(d)
Answer to Problem 25P
The mass of
Explanation of Solution
Write the equation for the mass of
Here,
Write the equation for the mass of
Here,
Conclusion:
The value of
Substitute
Substitute
Therefore, the mass of
(e)
The rate at which the fuel is converted to energy in the reactor core and to compare it with result from (d).
(e)
Answer to Problem 25P
The rate at which the fuel is converted to energy in the reactor core is
Explanation of Solution
Write the equation for the rate at which the fuel is converted to energy.
Put equation (IV) in the above equation.
Conclusion:
Substitute
The result is in agreement with part (d).
Therefore, the rate at which the fuel is converted to energy in the reactor core is
Want to see more full solutions like this?
Chapter 14 Solutions
EBK MODERN PHYSICS
- Assume onefourth of the yield of a typical 320kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV. (a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238. (b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5. (c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.arrow_forward(a) Calculate the energy released in the neutroninduced fission reaction n+239Pu96Sr+140Ba+4n, given m(96Sr)=95.921750u and m(140Ba)=139.910581u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward(a) Find the total energy released in MeV in each carbon cycle (elaborated in the above problem) including the annihilation energy. (b) How does this compare with the protonproton cycle output?arrow_forward
- The cure of a nuclear reactor generates a large amount of thermal energy from the decay of fission products, even when the power-producing fission chain reaction is turned off. Would this residual heat be greatest after the reactor has run for a long time or short time? What if the reactor has been shut down for months?arrow_forwardThe annual radiation dose from 14C in our bodies is 0.01 mSv/y. Each 14C decay emits a averaging 0.0750 MeV. Taking the fraction of 14C to be 1.31012N of normal 12C, and assuming the body is 13% carbon, estimate the fraction of the decay energy absorbed. (The rest escapes, exposing those close to you.)arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxStars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning