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Question

The following data were obtained during the first order thermal decomposition of SO2Cl2 at a constant volume.
SO2Cl2(g)SO2(g)+Cl2(g)
ExperimentTime/s1Total pressure/ atm
100.5
21000.6
Calculate the rate of the reaction when total pressure is 0.65 atm.

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Solution

For a first order reaction, we have:

k=2.303tlogPo2PoPt

k=2.303100log0.52×0.50.6

k=2.23×1023/s

Rate =kPSO2Cl2

The total pressure is 0.65 atm.

PSO2Cl2=2popt=2×0.50.65=0.35atm

Hence, rate =2.23×103×0.35

Rate =7.805×104atm/s

476034_457582_ans_9ef12dc795de41839548c3a84f2dd843.JPG

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