The rate constant for the decay of a radioactive element is 3.20 * 10^-³/day. What is the half-life of this element? A) 1.60 **10^-³ days B) 3.13 * 10² days C) 2.17 * 10² days D) 1.56 * 10² days E) 3.23 *10² days

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The half-life of a radioactive element is the time it takes for half of the element to decay. The half-life is related to the rate constant by the equation:t1/2 = ln(2) / kwhere t1/2 is the half-life and k is the rate constant.In this case, the rate constant is 3.20 x 10^-3 /day, so the half-life is:t1/2 = ln(2) / (3.20 x 10^-3 /day) = 2.17 x 10^2 days

The Rate Constant for the Decay of a Radioactive Element