Question

If 7.84 × 107 J of energy is released from a fusion reaction, what amount of mass in kilograms would be lost? Recall that c = 3 × 108 m/s.

7.06 × 1024



8.71 × 10-4



8.71 × 10-7



8.71 × 10–10

Answer 1

m = 7.84x107/(3x108)2kg = 7.84x107/9x1016kg = 0.871x10-9 kg = 8.71x10-10 kg

Answer 2

The amount of mass in kilograms would be lost
`8.7111* 10^(-10) kg`.

Step-by-step explanation:

Energy released during fusion reaction =
`7.84* 10^7 J`

Mass of amount lost during the reaction = Δm

Speed of the light = c =
`3* 10^8 m/s`

Using Einstein equation :

`E=\Delta m* c^2`

`7.84* 10^7 J=\Delta m* (3* 10^8 m/s)^2`

`\Delta m=8.7111* 10^(-10) kg`

The amount of mass in kilograms would be lost
`8.7111* 10^(-10) kg`.