Final answer:The half-life of strontium-90 is 28 years.It will take approximately 13.9 years for a 50mg sample to decay to a mass of 32mg.Explanation:Strontium-90 has a half-life of 28 years, which means that in 28 years, half of the initial sample will have decayed. We want to know how long it will take for a 50mg sample to decay to a mass of 32mg. To solve this, we can set up an equation using the formula for exponential decay:A = A0* (1/2)(t/T1/2)Where A is the final mass, A0 is the initial mass, t is the time, and T1/2 is the half-life.Plugging in the values, we have:32mg = 50mg * (1/2)(t/28)To solve for t, we can take the logarithm of both sides:log(32/50) = (t/28) * log(1/2)t = 28 * log(32/50) / log(1/2)Using a calculator, we find that t is approximately 13.9 years.Learn more about Half-life here:brainly.com/question/37906890#SPJ11...

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