Question

Which order reaction obeys the expression. T1/2 = 1/k?

Answer 1

For finding the order of reaction by the given half life , u can use the attached formula according to which the order of the reaction will be first order.

Hope it helps....:)

Answer 2

First order reaction follows the expression $t_\frac{1}{2}=\frac{1}{k}$

Explanation:

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant

a - x = amount left after decay process  

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

$t_{\frac{1}{2}}=\frac{2.303}{k}\log\frac{100}{50}$

$t_{\frac{1}{2}}=\frac{0.69}{k}$

Thus first order reaction follows the expression $t_\frac{1}{2}=\frac{1}{k}$

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