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Step-by-step explanation:

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Step-by-step explanation:

At t = 2 minutes, remaining quantity of the radioactive element is 12.5 mg.

Step-by-step explanation:

To get the answer of this question we will solve this further with the help of the equation

where k = decay constant

t = time for decay

= Initial quantity taken

From the graph attached we can say that 50 mg of a radioactive element remained half in 1 minute.

So the equation becomes

Now we take natural log on both the sides of the equation

ln50 = ln[25.

3.912 = ln25 +

3.912 = 3.219 + (-k)lne

3.912 - 3.219 = -k [since lne = 1]

0.693 = -k

k = -0.693

Now we will calculate the remaining quantity of the element after 2 minutes

              =

              =

              =

              = 12.50 mg

Now we confirm this value from the graph.

At t = 2 minutes, remaining quantity of the radioactive element is 12.5 mg.