# Answer to Question #15415 in Physical Chemistry for Megan

Question #15415

How long will it take a 16 g sample of bismuth-210 to decay such that 2.0 g of the element remains?

Expert's answer

Half life of bismuth-210 is 5 days.

m=m(0)*exp(-b*t)

m/m(0) = 2 g

/ 16 g = 1/8

1/8 = (1/2)^3 = 0.125

=> 3 half life periods

5

days x 3 = 15 days

m=m(0)*exp(-b*t)

m/m(0) = 2 g

/ 16 g = 1/8

1/8 = (1/2)^3 = 0.125

=> 3 half life periods

5

days x 3 = 15 days

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