Calculating the Rest Mass Energy of One Mole of Neutrons

AI Thread Summary
To calculate the rest mass energy of one mole of neutrons, multiply the mass of a single neutron (1.675 x 10^-27 kg) by Avogadro's number (6.02 x 10^23). This results in a total mass for one mole of neutrons. The energy can then be calculated using the equation E=mc^2. The initial calculation of 9.075 x 10^16 was incorrect due to a misunderstanding of the values used, highlighting the importance of checking calculations for accuracy. The correct approach confirms that one mole of neutrons has a significant rest mass energy.
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.


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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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