Question

Derive integrated law for first order reactions

Answer 1

Solution.

$A\to B$

$\frac{d[B]}{dt} = -\frac{d[A]}{dt} = k \times [A]$

$-\frac{d[A]}{[A]} = kdt$

Integrate:

$-ln(\frac{[A]}{[A0]}) = k \times t$

$ln(\frac{[A0]}{[A]}) = k \times t$

Answer:

$ln(\frac{[A0]}{[A]}) = k \times t$