# How many days does it take for 16 g of palladium-103 to decay to 1.0 g?

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The half-life of palladium-103 is 17 days.

The half-life of palladium-103 is 17 days.

##### 1 Answer

It will take 68 days for the palladium to decay.

#### Explanation:

The formula for the half-life of a first-order process is

#color(blue)(bar(ul(|color(white)(a/a) t_½ = (ln2)/kcolor(white)(a/a)|)))" "#

∴

The integrated formula for a first-order process is

#color(blue)(bar(ul(|color(white)(a/a) ln("A"_0/"A") = ktcolor(white)(a/a)|)))" "#

If we had recognized that the

This is easier, but it works only for an integral number of half-lives.