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JEE Main levelOne or more correct optionsDifficulty 2 of 3ck044

Select the correct statements for a zero order reaction $A products$ with rate constant $k$ and initial concentration $[A]_{0}$ .

A $t_{1/2}$ is directly proportional to $[A]_{0}$ .
B $k$ has the same unit as the rate of reaction.
CA plot of $ln [A]$ against $t$ is a straight line.
DThe reactant is completely used up at $t = [A]_{0} / k$ .

Answer: A, B, D

For zero order

[A] = [A]_{0} - k t

, so

t_{1/2} = [A]_{0} /2 k

(proportional to

[A]_{0}

),

k

has the unit of rate, and

[A] = 0

at

t = [A]_{0} / k

. The linear plot is

[A]

against

t

;

ln [A]

against

t

is linear for first order.

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