Consider the fission reaction with atomic masses , , ,

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

Consider the fission reaction

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

with atomic masses

^{235}_{92}\text{U}=235.0439\,\text{u}

^{92}_{36}\text{Kr}=91.9262\,\text{u}

^{141}_{56}\text{Ba}=140.9144\,\text{u}

^{1}_{0}\text{n}=1.0087\,\text{u}

. Calculate the total energy released when

1.00\,\text{g}

^{235}_{92}\text{U}

is completely fissioned. Use

N_{A}=6.022\times10^{23}\,\text{mol}^{-1}

1\,\text{u}=931.5\,\text{MeV}/c^{2}

and

1\,\text{eV}=1.6\times10^{-19}\,\text{J}

. Choose the closest value. (a)

7.1\times10^{6}\,\text{MJ}

(b)

8.2\times10^{4}\,\text{MJ}

(c)

7.1\times10^{4}\,\text{MJ}

(d)

7.1\times10^{2}\,\text{MJ}