Radium - $226$ has a half-life of $1600 \text { years }$) Suppose we have a $300 \mathrm {~g}$
Sample. How much of the sample remains after $200$Years?
A) $105.61 \mathrm {~g}$
B) $124.61 \text { g }$
C) $275.1 \mathrm {~g}$
D) $288.1 \mathrm {~g}$
E) $200.1 \mathrm {~g}$

Question

Quizplus · Accepted Answer

The decay formula is $ N(t) = N_0 \times (1/2)^{t/T} $, where $ N_0 = 300 \text{ g} $, $ t = 200 \text{ years} $, and $ T = 1600 \text{ years} $. Plugging in the values, $ N(200) = 300 \times (1/2)^{200/1600} \approx 275.1 \text{ g} $.

Radium - 226226226 Has a Half-Life Of 1600 years 1600 \text { years }1600 years

Radium - $226$ Has a Half-Life Of $1600 \text { years }$