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# Solution: The gas phase decomposition of sulfuryl chloride at 600 ºK SO2Cl2(g) → SO2 (g) + Cl2(g) is first order in SO2Cl2. During one experiment it was found that when the initial concentration of SO 2Cl2 was 4.42x10-3 M, the concentration of SO2Cl2 dropped to 1.02x10-3 M after 391 min had passed. Based on this experiment, the rate constant for the reaction is _____ min-1.

###### Problem

The gas phase decomposition of sulfuryl chloride at 600 ºK

SO2Cl2(g) → SO2 (g) + Cl2(g)

is first order in SO2Cl2

During one experiment it was found that when the initial concentration of SO 2Cl2 was 4.42x10-3 M, the concentration of SO2Cl2 dropped to 1.02x10-3 M after 391 min had passed.

Based on this experiment, the rate constant for the reaction is _____ min-1.

###### Solution

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 rate constant for the reaction. View Complete Written Solution