Answer to Question #101516 in Physical Chemistry for Abhishek

Question

Derive integrated rate law for the first order reactions.

Answer 1

A→ B

v=K₁C=-dC/dt

$\int$K₁C=-$\int$dC/dt

lnC=-kt+A

if t=0 then C=C₀, A=lnC₀

lnC=-kt+lnC₀

lnC-lnC₀=-kt

lnC₀-lnC=kt

ln(C₀/C)=kt