Posted by **K** on Thursday, November 7, 2013 at 5:41pm.

The half-life of P-32 is 14 days. How long after a sample is delivered can a laboratory wait to use a sample in an experiment if they need at least 10 percent of the original radioactivity?

I need help on how to set up this problem. What is the general equation to use for a half-life problem? And a question specific to the problem, is how to I find 10% of the original?

Thanks for your help.

- Chemistry (Dr.Bob222) -
**DrBob222**, Thursday, November 7, 2013 at 5:55pm
Here's how you do it.

k = 0.693/t_{1/2}

Substitute and solve for k. Substitute k into the below equation.

ln(No/N) = kt

No = atoms you start with.

N = atoms you end with

k from above

t = time.

The easy way to do this problem is to let No = 100 (but you can pick any number you like)

then N = 10 (or 0.1 x the number you picked for No.

Then solve for t.

I did this several years ago with Cu-64 which has a half life of about 13 hours. Since it took almost two days to get to me (by air) and another 12-14 hours to run the experiment, it had to be HOT HOT HOT when it left the manufacturer so it would be at least HOT when I started counting.

- Chemistry (Dr.Bob222) -
**K**, Thursday, November 7, 2013 at 6:54pm
ok, so I got 3.32, so would I just multiply that by the half-life? Because the answer choices are 28 days, 14 days, 42 days, 56 days, and 70 days

- Chemistry (Dr.Bob222) -
**K**, Thursday, November 7, 2013 at 7:34pm
Just Kidding I got 46.51, but that is not one of the answer choices, so which would I pick? or did I do it wrong?

- Chemistry (Dr.Bob222) -
**DrBob222**, Thursday, November 7, 2013 at 8:09pm
I obtained 46.5 days, also. So pick 42 days for the answer. That's the closest choice you have. These multiple guess questions OFTEN don't have the exact answer but one close to it.

- Chemistry (Dr.Bob222) -
**K**, Friday, November 8, 2013 at 12:29am
Ok thanks, yes that answer was right, thanks so much for explaining the equation to me, it makes total sense now!

## Answer This Question

## Related Questions

- math - An unknown radioactive element decays into non-radioactive substances. In...
- Chemistry - A radioactive element has a half-life of 6.41 days. What percent of ...
- Calculus-Modeling Equations - An unknown radioactive element decays into non-...
- Chemistry please help! - A Cesium 137 sample has a measured radioactivity of 50 ...
- physics-Radioactivity - 1) The number of radioactive nuclei in a particular ...
- Radioactivity - Beryllium-7 has a half-life of 53 D. A sample was observed for ...
- Engineering Math - An unknown radioactive element decays into non-radioactive ...
- chemistry - The half life of phosphorus -32 is 14.3 days. What percentage of an...
- chemistry - isotope chromium -51 has a half life of 28 days. If the original ...
- calc - The half-life of polonium is 139 days, but your sample will not be useful...

More Related Questions