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At a certain temperature the half-life for the decompositionof N 2 O 5 was 350 s

ID: 684570 • Letter: A

Question

At a certain temperature the half-life for the decompositionof N2O5 was 350 seconds when theN2O5 concentration was 0.200 mol/L. When theconcentration was 0.400 mol/L, the half-life was 5.83 minutes. Isthis decomposition reaction first-or second-order? Please EXPLAIN youranswer. At a certain temperature the half-life for the decompositionof N2O5 was 350 seconds when theN2O5 concentration was 0.200 mol/L. When theconcentration was 0.400 mol/L, the half-life was 5.83 minutes. Isthis decomposition reaction first-or second-order? Please EXPLAIN youranswer.

Explanation / Answer

      The relation between the halflife and the order of the reaction is            t1/2 1 /[A]n-1         [t11/2 /t21/2 ] =[A2]n-1 /[A1]n-1          [350 s/ 5.83 x60 s] = (0.4 M)n-1 / (0.2M)n-1                  1.000 = (2)n-1               n = 1           It is a first order reaction.                                                    
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