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If there is a loss of 4.36 × 10-5 g of mass in a nuclear reaction, how much energy would be released? Recall that c = 3 × 108 m/s.

A.
1.45 × 10-13 kJ
B.
3.92 × 106 kJ
C.
3.92 × 109 kJ
D.
3.92 × 1012 kJ

Respuesta :

quiescentdulcet

As E= mc²

E = (4.36 × 10^ -5) ×( 3 × 108 m/s.)²

E= 3.924×10^12J

E= (3.924×10^12)KJ/ 1000

E =3.92 × 109 kJ

Answer:

Released energy, [tex]E=3.92\times 10^6\ kJ[/tex]

Explanation:

It is given that,

Loss in mass in a nuclear reaction, [tex]m=4.36\times 10^{-5}\ g=4.36\times 10^{-8}\ g[/tex]

The relation between the mass and energy is given by Einstein mass energy equivalence equation :

[tex]E=mc^2[/tex]

c is the speed of light

So, [tex]E=4.36\times 10^{-8}\times (3\times 10^8)^2[/tex]

[tex]E=3.92\times 10^9\ J[/tex]

[tex]E=3.92\times 10^6\ kJ[/tex]

The energy released in a nuclear reaction is [tex]3.92\times 10^6\ kJ[/tex]. Hence, the correct option is (B)

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