The natural law of decay is used to study the radioactive decay of Radium: dm = -km dt Where m is the mass of the decaying material and k is the decay constant. It was found initially the mass of Radium is 5 mg, with the rate of disintegration at 0.05 dm mg per day, that is -0.05 at t= 0. dt i. What is the half-life of Radium (time taken for the mass to become half of its initial value)? ii. How long will it take for the mass of Radium to be reduced to 1 mg?

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