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.
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