Radioactive decay is the process of transforming nucleus from unstable state to more stable state. The rate of radioactive decay depends on the specifications of the substance. Depending on that, we can define the half-life as the amount of time needed to convert half of the substance from the unstable radioactive state to the stable state. If you know that the rate of decay for a certain substance is proportional to the amount of the current substance x(t). Formulate a differential equation to express the previous (i) system. (ii) Solve this first order differential equation. If you know that for a certain substance (carboon-14), 5730 years are needed to convert half of the substance, find the value of the proportional constant. (ii)

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Chapter12: Chemical Kinetics
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Problem 44E: The rate of the reaction O(g)+NO2(g)NO(g)+O2(g) was studied at a certain temperature. a. In one...
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Task 3
Radioactive decay is the process of transforming nucleus from unstable state to more stable state.
The rate of radioactive decay depends on the specifications of the substance. Depending on that, we
can define the half-life as the amount of time needed to convert half of the substance from the
unstable radioactive state to the stable state.
If you know that the rate of decay for a certain substance is proportional to the amount of
the current substance x(t). Formulate a differential equation to express the previous
(i)
system.
(ii)
Solve this first order differential equation.
(ii)
If you know that for a certain substance (carboon-14), 5730 years are needed to convert
half of the substance, find the value of the proportional constant.
Transcribed Image Text:Task 3 Radioactive decay is the process of transforming nucleus from unstable state to more stable state. The rate of radioactive decay depends on the specifications of the substance. Depending on that, we can define the half-life as the amount of time needed to convert half of the substance from the unstable radioactive state to the stable state. If you know that the rate of decay for a certain substance is proportional to the amount of the current substance x(t). Formulate a differential equation to express the previous (i) system. (ii) Solve this first order differential equation. (ii) If you know that for a certain substance (carboon-14), 5730 years are needed to convert half of the substance, find the value of the proportional constant.
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