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For the reaction, 2 A(g) + 2 B(g) => C(g) + 3 D(g), thefollowing data were obtai

ID: 691443 • Letter: F

Question

For the reaction, 2 A(g) + 2 B(g) => C(g) + 3 D(g), thefollowing data were obtained at constant temperature. Experiment Initial [A], mol/L Initial [B], mol/L Initial Rate, M/min 1 0.11 0.15 2.0 x 10-5 2 0.11 0.30 2.0 x 10-5 3 0.22 0.45 4.0 x 10-5 4 0.22 0.60 4.0 x 10-5 Calculate the value of k to 3 significant figures.
CORRECT ANSWER: .000182
HELP!
CORRECT ANSWER: .000182
HELP! Experiment Initial [A], mol/L Initial [B], mol/L Initial Rate, M/min 1 0.11 0.15 2.0 x 10-5 2 0.11 0.30 2.0 x 10-5 3 0.22 0.45 4.0 x 10-5 4 0.22 0.60 4.0 x 10-5

Explanation / Answer

The given reaction is 2A(g) + 2 B(g) ----->  C(g) + 3D(g)          Experiment                  Initial [A] , mol/L              Initial [B] , mol/L         Initial Rate, M /min                   1                                  0.11                                  0.15                            2.0*10-5             2                                  0.11                                  0.30                            2.0*10-5            3                                   0.22                                  0.45                           4.0*10-5             4                                   0.22                                  0.60                           4.0*10-5    so from the data given we know that , by keepingA is fixed and we will increase the concentration of B isdouble, the rate of change in B is not found . hence the order ofthe reactant of B is " Zero ". Similarly now we willincrease the concentration of A is double by following B alsodouble , then the rate of change is double ,hencethe order of A is " first ".               sorate R = k[A]1[B]0      Now rate constant k = rate ,R /[A]1[B]0           Tocalculate rateconstant k we will consider an experiment 1 .              here Initial [A] = 0.11 , Initial [B] = 0.15 andInitial Rate = 2.0*10-5 M /min                         Now rate constant k = (2.0*10-5 M /min ) /(0.11M)1*(0.15M)0                                                = 0.000182 min-1         Note : for firstorder reactions rate constant unit is min-1.                                                = 0.000182 min-1         Note : for firstorder reactions rate constant unit is min-1.
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