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: 2c1o(g) > Cl,(g) + 0,(g) > The second-order rate constant for the decomposition of CIO is 7.08×10° M-1s¯1 at a particular temperature. Determine the half-life of CIO when its initial concentration is 1.11×108 M.

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**Chlorine Monoxide Decomposition in the Stratosphere:**

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 following 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 \( 7.08 \times 10^9 \, \text{M}^{-1}\text{s}^{-1} \) at a particular temperature. Determine the half-life of ClO when its initial concentration is \( 1.11 \times 10^{-8} \, \text{M} \).

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Transcribed Image Text:**Chlorine Monoxide Decomposition in the Stratosphere:** 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 following 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 \( 7.08 \times 10^9 \, \text{M}^{-1}\text{s}^{-1} \) at a particular temperature. Determine the half-life of ClO when its initial concentration is \( 1.11 \times 10^{-8} \, \text{M} \). [Input box for the answer in seconds]
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