Instead of allowing 1 kg of U-235 to decay naturally, imagine it is used as fuel in a nuclear reactor. It is bombarded with neutrons, causing it all to fission in a matter of days.

After 1 kg of U-235 undergoes fission, the mass of the products is [tex]8.4 \times 10^{-4} \, \text{kg}[/tex] less than the initial 1 kg.

How much energy was produced by the fission of 1 kg of U-235?

(Hint: Use Einstein's equation, [tex]E = mc^2[/tex], where [tex]E[/tex] is energy in Joules, [tex]m[/tex] is mass in kilograms, and [tex]c[/tex] is the speed of light, [tex]3 \times 10^8 \, \text{m/s}[/tex].)