Burning coal releases about per kilogram

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

Burning coal releases about 3.0×107 J3.0\times10^{7}\,\text{J} per kilogram. Calculate how many times more energy is obtained from 1 g1\,\text{g} of 92235U_{92}^{235}\text{U} compared to 1 kg1\,\text{kg} of coal, given that each fission of 92235U_{92}^{235}\text{U} liberates 200 MeV200\,\text{MeV}. (Use NA=6.02×1023 mol−1N_A = 6.02\times10^{23}\,\text{mol}^{-1}, molar mass of 92235U=235 g mol−1_{92}^{235}\text{U}=235\,\text{g mol}^{-1}, 1 eV=1.6×10−19 J1\,\text{eV}=1.6\times10^{-19}\,\text{J}.)

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