Problem

A large power reactor that has been in operation …

01:48

Problem 49 Hard Difficulty

The electrical power output of a large nuclear reactor facility is 900 $\mathrm{MW} .$ It has a 35.0$\%$ efficiency in converting nuclear power to electrical.
(a) What is the thermal nuclear power output in megawatts?
(b) How many 235 U nuclei fission each second, assuming the average fission produces 200 Mev?
(c) What mass of 235 U is fissioned in one year of full-power operation?

Answer

a. 2571.428 $\mathrm{MW}$
b. $8.036 \times 10^{19}$
c. 988.6 $\mathrm{kg}$

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Physics 103

College Physics for AP® Courses

Chapter 32

Medical Applications of Nuclear Physics

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Video Transcript

problem. 49 chapter for Richer In this problem, we are going to deal with the nuclear power it is given that this nuclear power facility has a power. When I handle the megawatts. Amazing efficiency is 30 file prevent Impart eight. Ask us So. Total output. Summer output off this and you're clear power facility. So we use 900 American electoral worlds. The body, the body is the efficiency we get to file seven 1.4 to 8 megawatts in part of it. Ask us to calculate how many uranium with 2 35 is he needed during the second. So it is given that for one to certify our uranium fission is under the outer porter is 200 American Electoral Waltz. So we used a total, uh, energy output during this one second you are The pies is energy output one uranium to 35. Fishing that we will get is a number of urine young to 35. So 2571 point a 4 to 8 mega electoral woes times Once that kind of that is just the jewels divided by 200 America like Rose and me converted to draws the times 1.6 times 10 to the negative with thirteen's. And this gives the number off a 2.36 times 10 to the night means this is a number a consumer that by this nuclear power facility in one second at the impact of state, asks the meth or uranium atrocity file if this facility is operated in one year. So we know why. Here is 365 days and one day there is toe 24 hours and in what always 30 3600 seconds. Among this generation, our time serve You will be this number this number of uranium 2 35 concealment. This is 2.5 fixed times 10 toe, 27th clear is a number of union 2 35 consumed in y ear on. And now we need to calculate the math off this amount off uranium 2 35 So we know that for each uranium to certifiable and time is a mass, it's too. So their file tatami mats and while atomic mass, it because one point of 66 times 10 to the negative country is Evan's killer ground and is only yours is this mass times the number we get the math. Presume that during this year, Anita Eco's 988.6 kilograms.

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