# A first order reaction is 50% completed in . How much time would it take for 100% completion? Option 1) Option 2) Option 3) Option 4) Infinite

As we learned in concept

First Order Reaction -

The rate of the reaction is proportional to the first power of the concentration of the reaction

- wherein

Formula:

R            P

a                 0

a-x             x

[differentiate rate law]

Unit of

First Order Reaction -

The rate of the reaction is proportional to the first power of the concentration of the reaction

- wherein

Formula:

R            P

a                 0

a-x             x

[differentiate rate law]

Unit of

In a first order reaction,

Rate = , k= constant

Given that  at x= a/2,

but for 100% completion, x=a and that would render equation 1 as undefined.

So,first order reactions take infinite time to complete.

Option 1)

Incorrect option

Option 2)

Incorrect option

Option 3)

Incorrect option

Option 4)

Infinite

Correct option

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