Chlorine monoxide accumulates in the stratosphere above Antarctica each winter and plays a key role in the formation of the ozone hole above the South Pole each spring. Eventually, CIO decomposes according to the equation: 2ClO(g) → Cl2(g)+ O2 (g)

The second-order rate constant for the decomposition of ClO is 6.63×10^9 M^–1s^–1 at a particular temperature. Determine the half-life of ClO when its initial concentration is 1.86×10^-8 M .