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The decay of radioactive elements occurs at a fixed rate. The half-life of a radioisotope is the time required for one half of the amount of unstable material to degrade into a more stable material. For example, a source will have an intensity of 100% when new. At one half-life, its intensity will be cut to 50% of the original intensity.
Instructions. Find the expression for the half-life t(half) of a radioactive sample. It is the time it takes for half of the amount of the nuclei in a sample to decay.The half-life is related to the decay constant lambda, which has a value dependent on the sample's material.The formula is t(half) = ln 2 / lambda = 0.693 / lambda.nother unit is the curie, which is equal to 3.7 x 10 exp (10) Bq. Practice calculating the radioactive decay. Radium-226 has a half-life of 1,600 years. Calculate the activity of a one gram sample, where N = 2.66 x 10 exp(21). To do this, first find lambda. Simultaneously, convert the half-life from years to seconds.