Isotopes A and B have initial masses of and

CHEMISTRY · Single correct · CBSE · Chemistry · Chemical Kinetics · Chemical Kinetics

Problem

Isotopes A and B have initial masses of 100 g100\text{ g} and 80 g80\text{ g}, respectively. The half-life of isotope A is 1010 days, while the half-life of isotope B is 55 days. Which statement about their masses after 3030 days is most accurate? (a) The masses will be equal because 3030 days is a common multiple of both half-lives. (b) Isotope B will have the greater mass primarily because its half-life is shorter. (c) Isotope A will have the greater mass primarily because its decay constant is smaller. (d) Isotope B will have the greater mass because its initial mass advantage offsets its faster decay.

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