A particular fission reaction can be represented as ^ 235 _ ;92 U + ^ 1 _ 0 n ; ; ^…

PHYSICS · Subjective · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A particular fission reaction can be represented as

^{235}_{\;92}\text U + ^{1}_{0}\text n \;\longrightarrow\; ^{141}_{\;56}\text{Ba} + ^{92}_{36}\text{Kr} + 3\,^{1}_{0}\text n

The following atomic masses are provided:

^{235}\text U = 235.0439299\,\text u

^{1}\text n = 1.0086650\,\text u

^{141}\text{Ba} = 140.914411\,\text u

^{92}\text{Kr} = 91.926156\,\text u

. Take

1\,\text u = 931\,\text{MeV}

and Avogadro’s number

N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}

. (a) Calculate the mass defect for one fission event. (b) Determine the energy released per fission in

\text{MeV}

. (c) Find the total energy released when

1\,\text{mol}

^{235}\text U

undergoes complete fission as above.