The isotope 99m Tc (half-life of 6.0 hours) is used in bone scans. How long does it take a quantity of 99m Tc to reduce to 1% of its initial activity?

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The time it takes for a radioactive isotope to reduce to 1% of its initial activity can be calculated using the formula: $ t = \frac{t_{1/2}}{\ln(2)} \times \ln(\frac{1}{0.01}) $. For 99m Tc with a half-life of 6 hours, this calculation results in approximately 40 hours.

The Isotope 99m Tc (Half-Life of 6