Question

These exercises use the radioactive decay model. The half-life of radium-226 is 1600years. Suppose we have a 22 -mg sample. After how long will only 18 mg of the sample remain?

Answer 1

To find out how long it will take for only 18 mg of a 22 mg sample of radium-226 to remain, we can use the radioactive decay formula.

Step-by-step explanation:

To solve this problem, we need to use the radioactive decay formula. The formula is given by:

A = A₀ * (1/2)^(t/t½)

Where:

• A is the final amount of the sample
• A₀ is the initial amount of the sample
• t is the time passed
• t½ is the half-life of the sample

In this case, we know that A = 18 mg and A₀ = 22 mg. We want to find t. By substituting the known values into the formula, we can solve for t.