Physics

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}

of

^{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}

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