The half-life for the thermal decomposition of acetone 80s_and is independent of initial concentration of acetone. The time required for the reaction to go to 80% decomposition is

Options

A. 186.1 s
B. 209.1 s
C. 150.1 s
D. 226.1 s

Answer

A

Explanation

The reaction follows first order kinetics hence k =`0.693//t_(1//2)=0.693//(80 s)` for the reaction to be 80% `[A]_(t)//[A]_(0)=0.2` hence
`=-((2.303)(0.301-1))/(0.693//80 s)=186.1 s`