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Question
The decomposition of Cl2O7 at 500 K in the gas phase to Cl2 and O2 is a first order reaction. After 1 minute at 500 K, the pressure of Cl2O7 falls from 0.08 to 0.04 atm. Calculate the rate constant in s−1.
Numerical
Solution
k = `2.303/"t" log (["A"_0])/(["A"])`
k = `2.303/(1 "min") log ([0.08])/([0.04])`
k = 2.303 log 2
k = 2.303 × 0.3010
k = 0.6932 min−1
k = `(0.6932/60) "s"^-1`
k = 1.153 × 10−2 s−1
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