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
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