STANDARDChemistry-Chemical Kinetics

STANDARD Chemistry First Order Reactions MCQ Question

Type: MCQ-numerical-Medium-Class 12

The half-life of the reaction X → Y, following first order kinetics, when the initial concentration of X is 0.01 mol L⁻¹ and initial rate is 0.00352 mol L⁻¹ min⁻¹ will be:

A

19.69 min.

B

1.969 min.

C

7.75 min.

D

77.5 min.

Correct Answer

Option B

Detailed Explanation

For a first order reaction, the rate constant k is calculated using the formula: k = rate/[X]. Substituting the given values, k = 0.352. The half-life t₁/₂ is calculated using the formula: t₁/₂ = 0.693/k, which gives t₁/₂ = 1.969 min.

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