Please show work and explain: The reaction A + B → C is studied similarly to our study of phenolphthalein fading kinetics.

The corresponding rate law is Rate = k[A]m[B]m

In this particular experiment, the concentration of A is sufficiently high that the pseudo-order rate law: Rate = k1[B]n can be written, where k1 = k[A]m.

If the study establishes that the reaction is first order in B (n = 1) and that the pseudo rate constant k1 has the following values at varying concentrations of B, what is the order of the reaction in reactant A (what is the value of m)?

k1[B]
0.00340.200 M
0.00200.100 M
0.00100.050 M
Options:

A.0
B.1
C. 2
D.3

Explanation:

Consider the given reaction,

A+B +C

Reaction is first order with respect to reactant B.

The pseudo order rate is

Pseudo order reaction is the reaction in which the reactant concentration remains constant; its concentration is very high so it does not involve in the rate of the reaction. Here, the concentration of  A is sufficiently high so this reaction becomes the pseudo first order reaction.

The reaction is first order with respect to [B] with rate constant k1 .

Using the given table, concentration of  B is decreasing the rate also decreasing

Therefore, order of the reaction with respect to A  is 1.

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