Question

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

Answer 1

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 2

Released energy,
`E=3.92* 10^6\ kJ`

Step-by-step explanation:

It is given that,

Loss in mass in a nuclear reaction,
`m=4.36* 10^(-5)\ g=4.36* 10^(-8)\ g`

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

`E=mc^2`

c is the speed of light

So,
`E=4.36* 10^(-8)* (3* 10^8)^2`

`E=3.92* 10^9\ J`

`E=3.92* 10^6\ kJ`

The energy released in a nuclear reaction is
`3.92* 10^6\ kJ`. Hence, the correct option is (B)