A sample of undergoes complete fission

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

Problem

1.0\,\text{kg}

sample of

^{235}_{92}\text U

undergoes complete fission. Assume that each fission releases

200\,\text{MeV}

of energy. Given: • Avogadro number

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

• Atomic mass of

^{235}_{92}\text U = 235\,\text{g\,mol}^{-1}

•

1\,\text{eV} = 1.6 \times 10^{-19}\,\text J

• Speed of light

c = 3.0 \times 10^{8}\,\text{m\,s}^{-1}

(i) Calculate the total energy released. (ii) Determine the corresponding loss of mass. (iii) Express this mass loss as a percentage of the original

1.0\,\text{kg}

mass.