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**Problem**: Plutonium-236 is an alpha emitter with a half-life of 2.86 years. How long will it take for the 1.30 mg sample of Pu-236 to decay to 0.160 mg?

###### FREE Expert Solution

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

$\overline{){{\mathbf{t}}}_{\mathbf{1}\mathbf{/}\mathbf{2}}{\mathbf{=}}\frac{\mathbf{ln}\mathbf{2}}{\mathbf{k}}}$

We first need to calculate for the decay constant using the given half-life, **2.86 yrs**:

###### Problem Details

Plutonium-236 is an alpha emitter with a half-life of 2.86 years. How long will it take for the 1.30 mg sample of Pu-236 to decay to 0.160 mg?

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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 Wolf's class at ASU.