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pllllllzzzzzz answer in ((a paper ))) A radioactive element decays according to

ID: 2836351 • Letter: P

Question

pllllllzzzzzz answer in ((a paper )))

A radioactive element decays according to the function Q = Q0 e^rt, where Qo is the amount of the substance at time t = 0, r is the continuous compound rate of decay, t is the time in years, and Q is the amount of the substance at time t. If the continuous compound rate of the element per year is r = - 0.000338, how long will it take a certain amount of this element to decay to half the original amount? (The period is the half-life of the substance.) The half-life of the element is approximately years. (Do not round until the final answer. Then round to the nearest year as needed.).

Explanation / Answer

t1/2 = ln(2)/(-r)

t1/2 = .69/.000338

t1/2 = 2050.7 yrs