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Using the results of Excercises 1.8, 1.9, and 1.10 what fraction of the mass of

ID: 250616 • Letter: U

Question

Using the results of Excercises 1.8, 1.9, and 1.10 what fraction of the mass of a U-235 nucleus is converted into energy when fission takes place?

1.8 How many joules are released in the fission of one uranium nucleus which yields 190 MeV? ANSWER--- 3.04 x 10^-11 J

1.9 How many kilograms of matter are converted into energy in Exercise 1.8? ANSWER--- 3.38 x 10^-28 kg

1.10 If the atom of uranium-235 has mass of (235)(1.66 x 10^-27)kg what amount of equivalent energy does it have? ANSWER--- 3.51 x 10^-8 J

Explanation / Answer

From 1.9, we know that 3.38*10-28 Kg is converted into energy.

From 1.10, we know that total mass of U235 is (235)(1.66 x 10^-27) = 3.9*10^-25Kg.

Hence, fraction of mass converted into energy is 3.38*10^-28/3.9*10^-25 = 0.866/1000 = 8.66*10-4