When two atoms of
2
H (deuterium) are fused to form one atom of
4
He (helium), the total energy
evolved is 3.83 × 10
-12
joules. What is the total change in mass (in kilograms) for this reaction?
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OpenStudy (anonymous):
Please just give me the equation I need to use with the values plugged in, that's all I need.
OpenStudy (anonymous):
@Abhisar
OpenStudy (jfraser):
use \(E = mc^2\) Rearrange to solve for m, then plug in the energy and speed of light
OpenStudy (anonymous):
m = E/c^2
m = 3.83 x 10^-12/c^2
how do I find c^2?
OpenStudy (jfraser):
c is the speed of light
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OpenStudy (jfraser):
square it
OpenStudy (anonymous):
8.98755179 × 10^16 m^2/s^2
OpenStudy (anonymous):
things are starting to come together...lmao
m = E/c^2 m = 3.83 x 10^-12/8.98755179 × 10^16 m^2/s^2
OpenStudy (jfraser):
\( 9*10^{16} \frac{m^2}{s^2}\) would be enough
OpenStudy (jfraser):
but yes
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OpenStudy (anonymous):
4.3 x 10^-29
OpenStudy (anonymous):
Thank you! I now understand it completely! :D :happydance:
OpenStudy (jfraser):
the last 4 questions you've asked have all been about \(E = mc^2\) just moving the pieces around
OpenStudy (jfraser):
there's really only 2 things to find: E or m, since c is always the speed of light
OpenStudy (anonymous):
I see that now, yeah. Now all the pieces are clicking. :D