How many kg Uranium is needed for 5kW produced?

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Homework Help Overview

The discussion revolves around calculating the amount of uranium needed to produce a power output of 5 kW, given the energy released per decay and the half-life of uranium. Participants are exploring the relationship between energy production and mass in the context of nuclear physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the energy released per decay and how to relate this to the required power output. There are questions about unit conversions and the implications of the half-life on the calculations. Some participants also reference a potential connection to a similar question found on another platform.

Discussion Status

The discussion is ongoing, with participants providing insights into the necessary calculations and questioning the assumptions made in the problem. There is a suggestion to compute the number of decays needed per second to achieve the desired power output, indicating a productive direction in the conversation.

Contextual Notes

There is mention of a potential confusion regarding the type of uranium being discussed, as one participant notes a similarity to a question about plutonium-238, which has the same half-life. This raises questions about the specific isotopes involved and their properties.

Narud
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Member advised to show more effort in the attempt at solution.

Homework Statement



Energy released is 5.6MeV, 5kW is produced, Half life = 87.7 years for Uranium
Need to find how many kg you need to produced that much power.

Homework Equations



E = Pt, Q = (mass defect) * 931.5MeV/c^2

The Attempt at a Solution



I solved for the energy released to be 5.6MeV as stated above, except I'm not sure how to find the amount required for that power produced...
 
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Narud said:

Homework Statement



Energy released is 5.6MeV, 5kW is produced, Half life = 87.7 years for Uranium
Need to find how many kg you need to produced that much power.

Homework Equations



E = Pt, Q = (mass defect) * 931.5MeV/c^2

The Attempt at a Solution



I solved for the energy released to be 5.6MeV as stated above, except I'm not sure how to find the amount required for that power produced...
If I'm not wrong, are you the same person https://physics.stackexchange.com/q/382031/149663?

The two questions match amazingly.
 
Wrichik Basu said:
If I'm not wrong, are you the same person https://physics.stackexchange.com/q/382031/149663?

The two questions match amazingly.
Including the fact that the question seems to be about Plutinium 238 which does have a half-life of 87.7 years.
Stackexchange wants you to show some effort on homework questions as well.

Since you know how much energy one decay produces, it should be easy to compute how many decays/second you need to get a certain power. You only need to convert some units.
 
willem2 said:
Stackexchange wants you to show some effort on homework questions as well.
True.
 

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