# Element X has a half life of 32 mins, 16 g of element X is decayed in 10 half lives, how much sample was initially available?

Jul 5, 2018

${a}_{0} = 16.02 g$

#### Explanation:

$\left(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \frac{1}{64} + \frac{1}{128} + \frac{1}{256} + \frac{1}{512} + \frac{1}{1024}\right) {a}_{0} = 16 g$
${a}_{0} = 16.02 g$