Answer to Question #134610 in General Chemistry for riley morrison

Question

how many years will it take 100g of carbon-11 to decay until there is less than 0.5g remaining if its half-life is 20 minutes?

Answer 1

Solution:

The decay formula can be written as:

$N=N_0\times 2^{-\frac{t}{t_{1/2}}}$

Therefore:

$t=-log_2(\frac{N}{N_0})\times t_{1/2}=-log_2(\frac{0.5g}{100g})\times 20\,minutes\approx153\,minutes$

Answer: 153 minutes