Use the References to access important values if needed for this question Radioa

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Use the References to access important values if needed for this question Radioactive decay can be described by the following equation In A = In Ao-kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substançe. For the radioactive isotope lead-214, k is 2.59 × 10-2 minutes. If the original amount of lead-214 in a sample is 35.8 mg, how much lead-214 remains after 30.0 minutes have passed? mg Submit Answer Retry Entire Group 9 more group attempts remaining Previous Next

Explanation / Answer

Radio active decay follows first order kinetics,

Integrated rate constant equation for first order reaction is,

k = ( 1 / t ) * ln[A]0/[A]

2.59 * 10-2 = ( 1 / 30 ) * ln(35.8 / [A])

[A] = remaining amount after 30 min = 16.5 mg

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