The reaction A+B\ yields\ C+D rate=k[A][B]^{2} has an in

Trent Carpenter

Trent Carpenter

Answered question

2021-11-05

The reaction
A+B yields C+D
rate=k[A][B]2
has an intial rate of 0.00220Ms
what will the initial rate be if [A] is halved and [B] is tripled? Answer must be in Ms
What will the intial rate be if [A] is tripled and [B] is halved? Answer must be in Ms

Answer & Explanation

oppturf

oppturf

Skilled2021-11-06Added 94 answers

Step 1
The reaction is:
The rate law for this reaction is written as:
r=k[A][B]2
Substitute initial rate of the reaction (r)0.0220ms1 in rate law.
0.0220Ms=k[A][B]2
An expression for initial rate is obtained using the rate law by substituting the value of initial rate.
Step 2
When [A] is halved and [B] is tripled, the new concentrations are:
[A]=[A]2 and [B]=[B]×3
The new rate law is written as:
r=k[A][B]2
Substitute, [A]2 for [A'] and 3[B] for [B] in new rate law as follows:
1) r=k[A]2(3[B])2
=92k[A][B]2
Since,
k[A][B]2=0.0220MS1
Substitute, 0.0220ms1 fpr k[A][B]2 in equation (1), thus
r=92×0.0220ms1
=0.099ms1
Rate of the reaction become 0.099ms1
When the initial concentrations of the reactants are changed by any factor, then the first step is to write the new concentrations in terms of the initial concentrations. Then, write the new rate law in terms of the initial concentrations. And then calculate the new rate law by substituting the values accordingly.
Step 3
When [A] is tripled and [B] is halved, so the new concentrations are:
[A]=3×[A] and [B]=[B]2
The new rate law is written as:
r=k[A][B]2
Substitute, 3[A] for [A] and [B]2 for [B] in new rate law as follows:
2) r=k(3×[A])([B]2)2
=34k[A][B]2
Since,
k[A][B]2=0.0220Ms1
Substitute, 0.0220ms1 for k[A][B]2 in equation (2), thus

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