The rate expression for a reaction is -dC/dt = (α.C) / (1 + βC), where α, β are constants and C is t — Chemical Kinetics Chemistry Question
Question
The rate expression for a reaction is -dC/dt = (α.C) / (1 + βC), where α, β are constants and C is the concentration of reactant at time, t. The half-life for this reaction is
Answer: A
💡 Solution & Explanation
Rearranging to -(1 + βC)/C dC = α dt and integrating from C0 to C0/2 yields (ln 2) + β(C0/2) = α t_1/2. Solving for t_1/2 gives (ln 2)/α + (β C0)/(2α). Therefore, correct answer is A.
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