Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams), whose half-life is 1599 years.The quantity of radium present after t years is Determine the quantity present after 300 years.Round to the nearest hundredth of a gram. A)0 g B)0.47 g C)5.00 g D)4.39 g E)0.88 g

Question

Quizplus · Accepted Answer

The formula for radioactive decay is:

Q(t) = Q0*(1/2)^(t/T)

where Q0 is the initial quantity of the substance, Q(t) is the quantity after time t, and T is the half-life of the substance.

In this problem, we are given:

Q0 = 11 grams
T = 1599 years
t = 300 years

Plugging in these values, we get:

Q(300) = 11*(1/2)^(300/1599)

Q(300) ≈ 4.39 grams (rounded to the nearest hundredth)

Therefore, the best answer choice is D.

Let Q Represent a Mass of Radioactive Radium (226Ra) (In

Let Q Represent a Mass of Radioactive Radium (²²⁶Ra) (In