Answer to Question #103250 in General Chemistry for Shubham kumar jha

Question #103250
Derive integrated law for first order reactions
1
Expert's answer
2020-02-21T07:50:30-0500

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"


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