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: 2C10(g) → Cl, (g) + O,(g) > The second-order rate constant for the decomposition of CIO is 7.28×10°M-1s-1 at a particular temperature. Determine the half-life of CIO when its initial concentration is 1.06x10-8 M.

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### Decomposition of Chlorine Monoxide and Ozone Depletion

Chlorine monoxide (ClO) 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, ClO decomposes according to the equation:

\[ 2 \text{ClO}(g) \rightarrow \text{Cl}_2(g) + \text{O}_2(g) \]

The second-order rate constant for the decomposition of ClO is \( 7.28 \times 10^9 \, \text{M}^{-1} \text{s}^{-1} \) at a particular temperature. Determine the half-life of ClO when its initial concentration is \( 1.06 \times 10^{-8} \, \text{M} \).
Transcribed Image Text:### Decomposition of Chlorine Monoxide and Ozone Depletion Chlorine monoxide (ClO) 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, ClO decomposes according to the equation: \[ 2 \text{ClO}(g) \rightarrow \text{Cl}_2(g) + \text{O}_2(g) \] The second-order rate constant for the decomposition of ClO is \( 7.28 \times 10^9 \, \text{M}^{-1} \text{s}^{-1} \) at a particular temperature. Determine the half-life of ClO when its initial concentration is \( 1.06 \times 10^{-8} \, \text{M} \).
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