Question

How much of a radioactive kind of zinc will be left after 2 hours if the half-life is 1 hour and

you start with 259,288 grams?
grams

Answer 1

64822

Explanation:

Half-life model:

`P=P_o* \left((1)/(2)\right)^{(t)/(D)}`

`P_o` is the initial value, D is the time taken for the quantity to reduce half-life and t is the given time period.

`\sf P_o = 259,288 \ grams\\\\D = 1 \ hour\\\\t = 2 \ hours`

`P = 259,288*((1)/(2))^(2)/(1)\\\\P = 259,288*((1)/(2))^2\\\\P = 259,288*(1)/(4)\\\\P = 64822`