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First Order Reaction

The decay pro...

Question

The decay profiles of three radioactive species A, B and C are given :
These profiles imply that the decay constants $k_{A}, k_{B}$ and $k_{C}$ follow the order

A

k_{A} > k_{B} > k_{C}

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B

k_{A} > k_{C} > k_{B}

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C

k_{B} > k_{A} > k_{C}

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D

k_{C} > k_{B} > k_{A}

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Solution

The correct option is D $k_{C} > k_{B} > k_{A}$
The option (D) is the correct answer.
These profiles imply that the decay constants follow the order $k_{C} > k_{B} > k_{A}$
The curve for C has a lower slope than the curve for A.
For a given amount of time, the concentration of A is more than the concentration of C. Hence the rate of decay of A is less than the rate of decay of B.

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