The half-life of phosphorous-33 (P-33) is 25.3 days. How long will 64 g of P-33 take to decay to 1.0 g?

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Quizplus · Accepted Answer

The half-life formula is used to calculate the time it takes for a substance to decay to a certain amount. The formula is $ t = \frac{\log(\frac{final \ amount}{initial \ amount})}{\log(0.5)} \times half-life $. Plugging in the values, $ t = \frac{\log(\frac{1}{64})}{\log(0.5)} \times 25.3 $ days, which calculates to approximately 151.8 days.

The Half-Life of Phosphorous-33 (P-33) Is 25