Question

A research assistant made 160 mg of radioactive sodium, Na-24, and found that there was only 20 mg left 45 h later. a) What is the half-life of Na-24? b) Find an equation that models the amount, A, after t hours. c) If the laboratory requires 100 mg of Na-24 12 h from now, how much Na-24 should the research assistant make now? (Ignore the 20 mg she currently has.) d) How much of the original 20 mg would be left in 12 h?

          A research assistant made 160 mg of radioactive sodium, Na-24, and found that there was only 20 mg left 45 h later.
a) What is the half-life of Na-24?
b) Find an equation that models the amount, A, after t hours.
c) If the laboratory requires 100 mg of Na-24 12 h from now, how much Na-24 should the research assistant make now? (Ignore the 20 mg she currently has.)
d) How much of the original 20 mg would be left in 12 h?

A research assistant made 160 mg of radioactive sodium, Na-24, and found that there was only 20 mg left 45 h later.
a) What is the half-life of Na-24?
b) Find an equation that models the amount, A, after t hours.
c) If the laboratory requires 100 mg of Na-24 12 h from now, how much Na-24 should the research assistant make now? (Ignore the 20 mg she currently has.)
d) How much of the original 20 mg would be left in 12 h?

Added by Joseph L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/18/2022

Step 1

Step 1: Calculate the half-life of Na-24 using the given information: Given: Initial amount (N0) = 160 mg, Final amount (N) = 20 mg, Time (t) = 45 hours Using the formula N = N0 * (1/2)^(t/T), where T is the half-life of Na-24, we can plug in the values: 20 = 160 Show more…

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A research assistant made 160 mg of radioactive sodium, Na-24, and found that there was only 20 mg left 45 h later. a) What is the half-life of Na-24? b) Find an equation that models the amount, A, after t hours. c) If the laboratory requires 100 mg of Na-24 12 h from now, how much Na-24 should the research assistant make now? (Ignore the 20 mg she currently has.) d) How much of the original 20 mg would be left in 12 h?