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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 in s1Total pressure in atm
100.4
21000.7
Calculate the rate constant.
(Given: log 4 = 0.6021, log 2 = 0.3010)

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Solution

SO2Cl2(g)SO2(g)+Cl2(g)
At t=0Po00
At t=100secPoPPPPo=0.4atmPoP+P+P=0.7atmPo+P=0.7atmP=0.3atm
It is a first order reaction,
K=2.303tlogPoPoPK=2.303100log0.40.1K=2.303100×0.6021
K=1.39×102sec1 Rate constant

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