(II) A 385 -g sample of pure carbon contains 1.3 parts in 10^12 (atoms) of ^14 C . How many disi

step 1 All right, so in this problem, you first find the number of carbon 12 nuclei. So you've carbon 1

(II) A 385 -g sample of pure carbon contains 1.3 parts in...

Key Concepts

Radioactive Decay

Radioactive decay is the process by which unstable atomic nuclei release energy by emitting radiation, transforming into different nuclei or different energy states. This spontaneous process occurs with a characteristic probability, leading to a statistical number of decays over time, which forms the basis for calculating the disintegration rate in a radioactive sample.

Activity

Activity is a measure of the number of disintegrations (or decays) per unit time in a radioactive sample. It is typically expressed in becquerels (Bq), where 1 Bq corresponds to one disintegration per second. The activity provides a quantitative description of the decay process and is essential in fields like radiometric dating and nuclear medicine.

Decay Constant

The decay constant is a parameter that defines the probability per unit time that a given nucleus will decay. It is intrinsic to each radioactive isotope and links the number of nuclei present in a sample with the activity. By using the decay constant, one can relate the amount of radioactive substance to its rate of decay.

Isotopic Abundance

Isotopic abundance refers to the relative proportion of a specific isotope within a sample of an element. In contexts involving radioactivity and radiometric dating, knowing the abundance of a radioactive isotope, even if it is present in very small quantities, is crucial for determining the overall activity and calculating the sample’s behavior over time.

Avogadro's Number

Avogadro's Number is the fundamental constant that defines the number of atoms or molecules in one mole of a substance, approximately 6.022 x 10^23. It is used to convert between the mass of a substance and the number of atoms or molecules, which is essential when calculating the total number of decaying nuclei in a given sample.

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