Problem: The first-order reaction SO2Cl2 → SO2 + Cl2 is 10% complete in 80 min. How long would it take for the reaction to be 95% complete? (a) 1.8 min (b) 104 min (c) 530 min (d) 2300 min (e) 990 min

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We’re given the following first order reaction:

SO2Cl2  SO2 + Cl2


The integrated rate law for a first order reaction is as follows:



where:

[A]t = concentration at time t 

k = rate constant

t = time, [A]0 = initial concentration


We’re being asked to determine the time it would take for the reaction to be 95% completeSince no concentration is given, we can use the given percentages in place of concentration.


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Problem Details

The first-order reaction SO2Cl2 → SO2 + Cl2 is 10% complete in 80 min. How long would it take for the reaction to be 95% complete? 

(a) 1.8 min 

(b) 104 min 

(c) 530 min 

(d) 2300 min 

(e) 990 min


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