Question

If a substance has a half-life of 45 min, how many minutes will it take for 220 g of the substance to be depleted to 1.00 g?.

Answer 1

The time taken for the substance to decay to 1 g of its original mass is 350 mins.

What is half life?

The half life of a radioactive element is the time taken for the half of the element to decay to half of its original size.

N = N₀(¹/₂)^t/h

where;

• N is the remaining mass
• N₀ is the original mass
• h is half life
• t is time

1 = 220(¹/₂)^t/h

1/220 = (¹/₂)^t/h

log(1/220) = log(¹/₂)^t/h

log(1/220) = t/h [log(¹/₂)]

-2.342 = t/h (-0.301)

7.78 = t/h

7.78 x h = t

7.78 x 45 min = t

350 mins = t

Thus, the time taken for the substance to decay to 1 g of its original mass is 350 mins.

Learn more about half life here: brainly.com/question/2320811

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