A small atomic bomb releases energy equivalent to the detonation of 14,000 tons of tnt; a ton of tnt releases 4? 109 j of energy when exploded. using 2? 1013 j/mol as the energy released by fission of 235u, what mass of 235u undergoes fission in this atomic bomb?

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Chemistry

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7 November, 07:52

A small atomic bomb releases energy equivalent to the detonation of 14,000 tons of tnt; a ton of tnt releases 4? 109 j of energy when exploded. using 2? 1013 j/mol as the energy released by fission of 235u, what mass of 235u undergoes fission in this atomic bomb?

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Amara Schmidt · Answer 1

We are given

energy released by a small atomic bomb = 14000 tons of TNT

1 ton TNT = 4x10^9 J

2 x 10^13 J energy released by 1 mole of 235U

The mass 235U that undergoes fission in this atomic bomb is

14000 tons TNT x (4 x 10^9 J / 1 ton TNT) x (1 mol 235U / 2 x 10^13 J) x (235 g 235U / 1 mol 235U)

= 658 g of 235U