Answer:
The energy released during the change is [tex]2.853\times10^{-12}\ J[/tex].
Explanation:
Given that,
Total mass [tex]m =2.3465\times10^{-27}\ kg[/tex]
After change , the mass of resulting materials
[tex]m'=2.3148\times10^{-27}\ kg[/tex]
Using the Einstein's mass energy equation
[tex]E = mc^2[/tex]
The energy released during the change is given by
[tex]\Delta E= \Delta mc^2[/tex]
Where, [tex]\Delta m[/tex] is the change of mass in the process
c = speed of light
The change in mass
[tex]\Delta m=m-m'[/tex]
[tex]\Delta m=2.3465\times10^{-27}-2.3148\times10^{-27}[/tex]
[tex]\Delta m= 0.0317\times10^{-27}\ kg[/tex]
We substitute the value into the formula
[tex]\Delta E = 0.0317\times10^{-27}\times(3\times10^{8})^2[/tex]
[tex]\Delta E= 2.853\times10^{-12}\ J[/tex]
Hence, The energy released during the change is [tex]2.853\times10^{-12}\ J[/tex].
