Integrated rate expression for rate constant of first-order reaction is given by ​ K = 2.303/t log [R]_0/[R] for a general reaction R → R ​

Question

Integrated rate expression for rate constant of first-order reaction is given by 

K = \(\frac{2.303}{t}\) log \(\frac{[R]_0}{[R]},\) for a general reaction R → R

i) Derive an expression for half life period of first order reaction.

ii) A first order reaction has a rate constant 1.15 x 10^-3s^-1. How long will 5g of the reactant take to reduce 3 g?

Answer 1

\(t = \frac{2.303}{1.15 \times 10^{-3}s^{-1}}\)x0.2218 = 444.18s