🤓 Based on our data, we think this question is relevant for Professor Baldwin's class at OSU.

We’re being asked to **determine how many alpha particles are emitted in 5.00 min by a 10.0 mg sample of ^{226}Ra**.

**Step 1. Calculate the decay constant. **

Recall that * half-life* is the time needed for the amount of a reactant to decrease by 50% or one-half.

The half-life of a first-order reaction is given by:

$\overline{){{\mathbf{t}}}_{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{l}\mathbf{n}\mathbf{}\mathbf{2}}{\mathbf{k}}}$

where:

**t**_{1/2} = half-life

**k** = decay constant

Radium-226, which undergoes alpha decay, has a half-life of 1600 yr.

How many alpha particles are emitted in 5.00 min by a 10.0 mg sample of ^{226}Ra?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

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Based on our data, we think this problem is relevant for Professor Baldwin's class at OSU.