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) 0.00 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 and T is the half-life. 
Plugging in the given values, we get: 
Q(t) = 11eb11e8_19b3_ca23_ad38_2f220453d907_TB4588_00 (1/2)^(t/1599)
To find the quantity present after 300 years, we plug in t = 300 and round to the nearest hundredth of a gram: 
Q(300) = 11eb11e8_19b3_ca23_ad38_2f220453d907_TB4588_00 (1/2)^(300/1599) 
Q(300) ≈ 4.39 g
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