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  • Which one of the following is the expression for half life of zero order reaction?Option: 1 <img alt="t_{1 / 2}=\frac{1}{ka}" src="https://learn

Which one of the following is the expression for half life of zero order reaction?

Option: 1

t_{1 / 2}=\frac{1}{ka}


Option: 2

t_{1 / 2}=\frac{a}{2 k}


Option: 3

t_{1 / 2}=\frac{0.693}{ k}


Option: 4

None of above


Answers (1)

best_answer

Half-life of reaction: The half-life of a reaction is the time in which the concentration of a reactant is reduced to one half of its initial concentration. It is represented as t1/2.
For a zero order reaction, rate constant is given as follows:

\mathrm{k=\frac{[\mathrm{A}]_{o}-[\mathrm{A}]}{t}}
At t = t1/2, [A] = [A]o/2
Thus, the rate constant at t1/2 becomes:

\mathrm{k=\frac{[\mathrm{A}]_{0}-1 / 2[\mathrm{A}]_{0}}{t_{1 / 2}}}
\mathrm{t_{1 / 2}=\frac{[\mathrm{R}]_{0}}{2 \mathrm{k}}}
Thus, it is clear that t1/2 for a zero-order reaction is directly proportional to the initial concentration of the reactants and inversely proportional to the rate constant.

Therefore, option(2) is correct

Posted by

Anam Khan

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