Answer: 690 s
Explanation: Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.
For a reaction: [tex]A\rightarrow Products[/tex]
[tex]Rate=k[A]^2[/tex]
k= rate constant=[tex]2.90\times 10^{-2}[/tex]
x = 2= order with respect to A
For a second order reaction, [tex]t_\frac{1}{2}=\frac{1}{k\times [A_0]}[/tex]
[tex]t_{\frac{1}{2}[/tex]= half life = time taken for a reaction to complete to half.
[tex][A_0][/tex]=initial concentration= 0.0500 M
Thus [tex]t_{\frac{1}{2}=\frac{1}{2.90\times 10^{-2}\times [0.0500]}=690s[/tex]
