A radioactive element has a decay constant of 0.077s-1. Calculate its half-life
Question 1 Report
A radioactive element has a decay constant of 0.077s-1. Calculate its half-life
Answer Details
The half-life of a radioactive element is the amount of time it takes for half of the radioactive atoms in a sample to decay. The relationship between the decay constant (λ) and the half-life (t1/2) is given by the equation: t1/2 = ln(2) / λ where ln(2) is the natural logarithm of 2, which is approximately 0.693. Using the above equation and the given decay constant of 0.077s-1, we can calculate the half-life as: t1/2 = ln(2) / λ = 0.693 / 0.077 = 9.0s Therefore, the half-life of the radioactive element is 9.0 seconds. So, the correct option is: 9.0s.
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