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Nuclear decay occurs according to first-order kinetics. Argon-37 decays with a rate constant of 0.0198 days\(^{-1}\). After 98.3 days, a sample has a mass of 2.14 g. What was the original mass of the sample?

Answer :

The original mass of the sample is 15g

t = 2.303/k × log a/ a-z

k = rate constant = 0.0198 days–1

t = time passed by the sample = 98.3 days

a - x = amount left after decay process = 2.14

t = 2.303/k × log a/ a-z

the original mass of the sample a = 15g

The mass of a sample of a chemical compound is divided by the quantity of that substance, or the number of moles in the sample, measured in moles, to obtain the compound's molar mass in chemistry. In contrast to molecular properties, a substance's molar mass is a bulk property. The compound. is present in many different. forms, each with a different mass as a result of the isotopes. The molar mass represents the average of these masses. The molar mass is most frequently calculated from the standard atomic weights and is a function of the relative abundance of the constituent atoms' isotopes on Earth. It is thus a terrestrial average.

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