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

Answer:

The amount of mass in kilograms would be lost $8.7111\times 10^{-10} kg$.

Explanation:

Energy released during fusion reaction = $7.84\times 10^7 J$

Mass of amount lost during the reaction = Δm

Speed of the light = c = $3\times 10^8 m/s$

Using Einstein equation :

$E=\Delta m\times c^2$

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

$\Delta m=8.7111\times 10^{-10} kg$

The amount of mass in kilograms would be lost $8.7111\times 10^{-10} kg$.

Answer 2

  

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