The half-life of a radionuclide is 26.4 years. The time required for a 48-gram sample of this nuclide to decay to 1.50 grams is ________.

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The half-life of a radionuclide is the time it takes for half of the radioactive atoms in a sample to decay. The time required for a sample to decay to a certain fraction of its original amount can be calculated using the following formula:t = (t1/2 / ln(2)) * ln(N0/N)where:t is the time required for the decayt1/2 is the half-life of the radionuclideN0 is the initial amount of the radionuclideN is the final amount of the radionuclideIn this problem, we are given that the half-life of the radionuclide is 26.4 years and that we want to know the time required for a 48-gram sample to decay to 1.50 grams. Plugging these values into the formula, we get:t = (26.4 years / ln(2)) * ln(48 grams / 1.50 grams)t = 132 yearsTherefore, the time required for the sample to decay to 1.50 grams is 132 years.

The Half-Life of a Radionuclide Is 26