Physics

Physics

Problem

A mixed radioactive sample contains 0.50 g0.50\,\text{g} of iodine-131 (half-life 8.0 d8.0\,\text{d}) and 0.50 g0.50\,\text{g} of caesium-137 (half-life 30 yr30\,\text{yr}). (Atomic masses: iodine =131 g mol−1=131\,\text{g mol}^{-1}, caesium =137 g mol−1=137\,\text{g mol}^{-1}; NA=6.02×1023 mol−1N_A = 6.02\times10^{23}\,\text{mol}^{-1}.) a. (i) Calculate the initial activity contributed by each isotope separately. b. (ii) Determine the total activity of the sample after 24 d24\,\text{d}. c. (iii) What fraction of the total activity after 24 d24\,\text{d} is due to iodine-131?

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