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The half-life for the decay of radium is 1620 years so the rate constant for this first-order reaction is 4.28 × 10⁻⁴ yr⁻¹

The half-life of any element is the time in which the quantity of that element reduces to half of the original amount. The symbol of half-life is t1/2 and it is mostly used in nuclear chemistry and physics. It gives information about the stability and radioactive decay process of any element or compound.

Half-life of radium (t1/2) = 1620 years

Rate constant = ?

To calculate the rate constant we use the following formula:

    K = 0.693 / t1/2

    K = 0.693 / 1620

    K = 4.28 × 10⁻⁴ yr⁻¹

You can also learn about radioactive decay from the following question:

https://brainly.com/question/1770619

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