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Sebastiaan
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Homework Statement
How much energy is created when 0,0188828901 atomic mass is converted into energy (Joule)
Homework Equations
E = m * c^2
speed of light = 299792458
1 atomic mass unit = 1.660539040e-27 kg
1 atomic mass unit = 931,494028 MeV
1 eV = 1,6021766208e-19 Joule
The Attempt at a Solution
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mass = 0,01888289012 * 1,660539040e-27 = 3,13557762322902848e-29
Applying this to E= mc^2 I get
3,13557762322902848e-29 * 299792458 * 299792458= 2,818116627e-12 joules
Another method is that I first convert mass to MeV and then to Joules I get
0,01888289012 * 931,494028 * 10e6 * 1,6021766208e-19 = 2,8181164240e-12 joules
However when I attempt to atomic mass to Joule using a online converter
(which uses 1 unified atomic mass unit = 1.49241795273396E-10 joule ) I get
0,01888289012 * 1,49241795273396e-10 = 2,818116421e-12 joules
As you can see I get different outcomes depending on the used method.
Which one of the result would be most accurate?
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