How Much Energy Is Released in Tritium Nucleus Formation?

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Homework Help Overview

The discussion revolves around the energy released during the formation of a tritium nucleus, which consists of two neutrons and a proton. The problem involves calculating energy based on a mass difference given in universal mass units.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants attempt to apply the equation E=mc² using the provided mass difference but encounter issues with unit conversions. Questions arise regarding the correct conversion between Joules and Mega Electron Volts, as well as the appropriate handling of mass units.

Discussion Status

The discussion is ongoing, with participants exploring unit conversion challenges and questioning the assumptions related to mass and energy calculations. Some guidance has been offered regarding the need for correct unit handling, but no consensus has been reached on the method to resolve the problem.

Contextual Notes

Participants note confusion regarding the conversion factors between Joules and Mega Electron Volts, highlighting the importance of using the correct values for mass units in their calculations.

majormuss
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Homework Statement


A tritium nucleus is formed by combining two
neutrons and a proton. The mass of this nucleus
is 9.106 × 10–3 universal mass unit less than the
combined mass of the particles from which it is
formed. Approximately how much energy is
released when this nucleus is formed?
(1) 8.48 × 10–2 MeV (3) 8.48 MeV
(2) 2.73 MeV (4) 273 MeV


Homework Equations



E=mc^2

The Attempt at a Solution


I tried finding the energy by using what they gave me(9.106 × 10^-3) and fixing into the equation E=mc^2, but my anwser turns out 8.2 × 10^13( which obviously missing something)
 
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majormuss said:

Homework Statement


A tritium nucleus is formed by combining two
neutrons and a proton. The mass of this nucleus
is 9.106 × 10–3 universal mass unit less than the
combined mass of the particles from which it is
formed. Approximately how much energy is
released when this nucleus is formed?
(1) 8.48 × 10–2 MeV (3) 8.48 MeV
(2) 2.73 MeV (4) 273 MeV


Homework Equations



E=mc^2

The Attempt at a Solution


I tried finding the energy by using what they gave me(9.106 × 10^-3) and fixing into the equation E=mc^2, but my anwser turns out 8.2 × 10^13( which obviously missing something)

Think about what units you are using. You may need to convert units.
 


You can't just plug the numbers you have in and get the right answer because the units don't work out.
 


vela said:
You can't just plug the numbers you have in and get the right answer because the units don't work out.

so how do I change form Joules to Mega Electron Volts? do I multiply or divide by 1.6 *10^-19... that is where I tend to get confused.
 


Is a joule larger or smaller than a MeV?

So if I have 1 joule, should have 1*1.6*10^-13 MeV or 1/(1.6*10^-13) MeV? Which one gives a bigger answer?

Also, for mega electron volts the conversion factor is 1.6*10^-13 not -19, -19 is for electron volts.
 


majormuss said:
so how do I change form Joules to Mega Electron Volts? do I multiply or divide by 1.6 *10^-19... that is where I tend to get confused.

You also need the mass units to be right.
 

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