Coal liberates about of energy per kilogram when burnt

PHYSICS · Multi-part · CBSE · Physics · Nuclei · Nuclei

Problem

Coal liberates about

3.0\times10^{7}\,\text{J}

of energy per kilogram when burnt. The fission of one

^{235}\text{U}

nucleus releases approximately

200\;\text{MeV}

. Given

N_{A}=6.0\times10^{23}\,\text{mol}^{-1}

1\,\text{u}=1.66\times10^{-27}\,\text{kg}

and

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

, answer the following: (i) Find the energy released when one mole of

^{235}\text{U}

undergoes complete fission. (ii) Determine the mass of

^{235}\text{U}

that would produce the same energy as

1\,\text{kg}

of coal. (iii) In one short sentence, comment on the comparative energy densities of coal and

^{235}\text{U}