For a first-order reaction, the "Average Life" () is mathematically defined as the reciprocal of the decay constant ( or ). What is the exact relationship between Average Life and Half-Life ()?

Question

For a first-order reaction, the "Average Life" ($T_{avg}$) is mathematically defined as the reciprocal of the decay constant ($\lambda$ or $k$). What is the exact relationship between Average Life and Half-Life ($t_{1/2}$)?

Prashant Kotian · Accepted Answer

Correct answer: B. By definition, . Since , isolating gives . Substituting this gives . Because , the average life is .

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