Assertion: Half-life period of a reaction of first order is independent of initial concentration.
Reason: Half-life period for a first order reaction `t_(1//2) = (2.303)/(K) log 2`.

Options

A. If both assertion and reason are true and reason is the correct explanation of the assertion.
B. If both assertion and reason are true and reason Iis not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If assertion is false but reason is true.

Answer

A

Explanation

For a first order reaction, `K = (2.303)/(t) "log"(a)/(a-x)`, where a is initial concentration, and x is the amount reatced in time `t`.
For hlaf-life `x = a//2, t = t_(1//2)`
`K = (2.303)/(K)"log"(a)/(a-a//2)`
`t_(1//2) = (2.303)/(K)log2 = (0.693)/(K)`.