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Q. For a reaction, the rate constant is $ 0.693\times {{10}^{-1}}mi{{n}^{-1}} $ and initial concentration is 0.2 mol/L. Half-life period will be

Rajasthan PETRajasthan PET 2008

Solution:

Velocity constant $ =0.693\times {{10}^{-1}}mi{{n}^{-1}} $ $ =\frac{0.693\times {{10}^{-1}}}{60}{{s}^{-1}} $ Initial concentration = 0.2 mol/L This is first order reaction. It does not depend on initial concentration.
Half-life $ =\frac{0.693\times 60}{0.693\times {{10}^{-1}}} $ $ =600s $