Chapter SH, Problem 16.8APP

To determine

To calculate: Amount of nickel-63 left after given time.

Answer to Problem 16.8APP

Amount of nickel-63 left after 300 years is 1.25 g.

Explanation of Solution

Given:

Half-life of isotope nickel-63 = $100\text{ years}$

Amount of sample = $10.0\text{ g}$

Calculation:

Since the isotope has a half-life of 100 years, half of the sample decays after 100 years.

Sample left after 100 years = $\frac{10\text{ g}}{2}=5\text{ g}$

Sample left after 200 years = $\frac{5\text{ g}}{2}=2.5\text{ g}$

Sample left after 300 years = $\frac{2.5\text{ g}}{2}=1.25\text{ g}$

Conclusion:

Amount of nickel-63 left after 300 years is 1.25 g.