Element X decays radioactively with a half life of 11 minutes. If there are 870 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 154 grams?

It would take 27.5 minutes the element to decay to 154 grams.

Step-by-step explanation:

The decay equation:

Integrating both sides

When t=0, N= = initial amount

Decay equation:              

Given that, the half life of of element X is 11 minutes.

For half life, ,  t= 11 min.

               [ , since ln|1|=0]

N=154 grams, = 870 grams, t=?

      =27.5 minutes

It would take 27.5 minutes the element to decay to 154 grams.

idk

step-by-step explanation: