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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

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If both ASSERTION and reason are true and the reason is the correct EXPLANATION of the assertion .
If both assertion and reason are true but reason is not the correct explanation of the assertion
If assertion is true but reason is false
If the assertion and reason both are false .

Solution :For a first order reaction , k = `(2.303)/(t)` log `(a)/(a-X)` , where a is INITIAL CONCENTRATION and x is the amount reacted in time t .
For half-life x = a/2 , t = `t_(1//2)`
k = `(2.303)/(t_(1//2))` log `(a)/(a-a//2)`
`t_(1//2) = (2.303)/(k)` log `2= (0.693)/(k)`.


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