Question

In: Chemistry

For a reaction A +B → C, the experimental rate law is found to be R=k[A]1[B]1/2. Find the rate of the reaction when [A] = 0.5 M, [B] = 0.1 M and k=0.03

For a reaction A +B → C, the experimental rate law is found to be R=k[A]1[B]1/2. Find the rate of the reaction when [A] = 0.5 M, [B] = 0.1 M and k=0.03.

Solutions

Expert Solution

Explanation :

Given :

[A] = 0.5 M, [B] = 0.1 M and K = 0.03

Reaction :     A +B → C

rate law,  R = k[A]1 [B] ^1/2

From the rate law, order of the reaction is 1+ 0.5 = 1.5 = 3/2

Therefore, the unit of k,

   k = (mol L-1)^(1-1.5) s-1

      = (L/mol)^(1/2) s-1

  R = k [A] 1[B]^1/2

     = 0.03 × 0.5 × 0.11/2

     = 4.74 × 10-2(L/mol)^(1/2) s-1.


4.74 × 10-2 (L/mol)^(1/2) s-1

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