Question

At what rate must Uranium 235 undergo fission by neutron bombardment to generate energy at a rate of 100 W (1 W

Answer 1

Complete Question

At what rate must Uranium 235 undergo fission by neutron bombardment to generate energy at a rate of 100 W (1 W = 1 J/s)? Assume each fission reaction releases 200 MeV of energy.

Answer

a. Approximately
`5*10^(10)` fissions per second.

b. Approximately
`6*10^(12 )`fissions per second.

c. Approximately
`4*10^(11)` fissions per second.

d. Approximately
`3*10^(12)` fissions per second.

e. Approximately
`3*10^(14)` fissions per second.

Answer:

The correct option is d

Step-by-step explanation:

From the question we are told that

The energy released by each fission reaction
`E = 200 \ MeV = 200 *10^(6) * 1.60 *10^(-19) =3.2*10^(-11) \ J /fission`

Thus to generated
`100 \ J/s` i.e (100 W ) the rate of fission is

`k = (100)/(3.2 *10^(-11) )`

`k =3*10^(12) fission\ per \ second`