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SO 2 Cl 2 decomposes in the gas phase bythe reaction SO 2 Cl 2 (g)-->SO 2 (g) +

ID: 676112 • Letter: S

Question

SO2Cl2 decomposes in the gas phase bythe reaction    SO2Cl2(g)-->SO2(g) + Cl2(g) The reaction is first order in SO2Cl2and the rate constant is 3.0 x 10-6 s-1at 600 K. A vessel is charged with 2.4 atm ofSO2Cl2 at 600 K. The partial pressure ofSO2Cl2 at 3.0 x 105s is________atm? A. 0.98 B. 1.4 x 105 C. 2.2 D..76 E..29 SO2Cl2 decomposes in the gas phase bythe reaction    SO2Cl2(g)-->SO2(g) + Cl2(g) The reaction is first order in SO2Cl2and the rate constant is 3.0 x 10-6 s-1at 600 K. A vessel is charged with 2.4 atm ofSO2Cl2 at 600 K. The partial pressure ofSO2Cl2 at 3.0 x 105s is________atm? A. 0.98 B. 1.4 x 105 C. 2.2 D..76 E..29 C. 2.2 D..76 E..29

Explanation / Answer

Formula :                kt = ln P0 / P Where k is the first rate constant            t is the time            P0 is the initial partial pressure            P is the partial pressure after t time Data :           k =  3.0 x 10-6 s-1          t   = 3.0 x 105s          P0= 2.4 atm        Upon substituting in theabove formula ,         3.0 x10-6 s-1 * 3.0 x105s   = ln ( 2.4 atm / x )                                  0.9           =ln ( 2.4 /x )                                   2.4 /x       = 2.45                                                x = 2.45 /2.4                                                   = 0.98 atm