The starting materials in a nuclear change have a total mass of 2.3465 × 10–27 kg. after the change, the resulting materials have a mass of 2.3148 × 10–27 kg. how much energy was released during the change? 2.85 × 10–12 j 2.08 × 10–10 j 2.11 × 10–10 j 8.56 × 10–4 j

Respuesta :

The energy released during the nuclear change is 2.853*10^(-12) J.

What is Nuclear change?

A nuclear change -- involves changes in nuclear structure, such as fission (splitting) of a nucleus or an atom, or fusion (combining) of neutrons and protons to form heavier atoms

Given that,

Total mass

[tex]m=2.3465\times 10^{-27}\ kg[/tex]

After change , the mass of resulting materials

[tex]m'=2.3148\times 10^{-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=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\times 10^{-27}-2.3148\times 10^{-27}[/tex]

[tex]\Delta m =0.0317\times 10^{-27}\ kg[/tex]

We substitute the value into the formula

[tex]\Delta E=0.0317\times 10^{-27}\times (3\times 10^8)^2[/tex]

[tex]\Delta E=2.853\ti,es 10^{-12}\ J[/tex]

Hence, The energy released during the change is 2.853*10^(-12) J.

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