Calculating the Rest Mass Energy of One Mole of Neutrons

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Homework Help Overview

The discussion revolves around calculating the rest mass energy of one mole of neutrons, utilizing the known mass of a neutron and Avogadro's number.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the rest mass energy by multiplying the mass of a neutron by Avogadro's number and applying the equation E=mc². Some participants question the correctness of the values used and whether the mass is indeed the rest mass of the neutron.

Discussion Status

There is ongoing clarification regarding the calculations and values used. Some participants suggest that the approach is fundamentally correct, while others note discrepancies in the numerical results, indicating a productive exploration of the problem.

Contextual Notes

Participants are discussing the relationship between moles and mass, and there is an emphasis on ensuring the correct values are used in calculations. There is also mention of potential errors in orders of magnitude.

tymartin
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Homework Statement


What is the rest mass energy of one mole of neutrons? Hint one mole is 6.02 x 1023 particles (avocado's number), and the neutron has mass m=1.675 x 10 -27 kg.


Homework Equations





The Attempt at a Solution



I wasn't sure of the relationship between moles and mass. What I attempted to do was multiply one mole by the mass. Then plugged in the equation of E=mc2. I came up with the answer of 9.075 x 10 16. This just doesn't seem right. Any help would be appreciated.
 
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I think it's perfectly correct as long as the value you have used for the neutrons mass is indeed its rest mass. Why doesn't it seem right to you?

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(Me being a lazy boy I didn't check that you actually put the right values in your calculator)

As posted below one mole of neutrons is equal to 6.02 x 10^23 neutrons, which you multiply by the neutrons mass to get the total mass. Then it's a cake piece of.
 
Last edited:
tymartin said:

Homework Statement


What is the rest mass energy of one mole of neutrons? Hint one mole is 6.02 x 1023 particles (avocado's number), and the neutron has mass m=1.675 x 10 -27 kg.
Show us your work. What numbers did you multiply? What results? Units? You appear to be out by a few orders of magnitude.

A mole is just what is stated. It is Avogadro's number of particles. So a mole of neutrons is 6.02 x 10^23 neutrons.

AM
 
thanks for everyone's help
 

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