Given the following equation for the reaction between A and B: 2A + 3B → C
If the reaction is first order with respect to A and second order with respect to B. The rate law is

Question

Given the following equation for the reaction between A and B: 2A +  3B →  C
If the reaction is first order with respect to A and second order with respect to B. The rate law is

BlackTom AI · Accepted Answer

The problem states that the reaction is first order with respect to A and second order with respect to B, so the rate law must reflect those orders in the exponents of the concentrations of A and B.

Option a: Rate = k[A][B]. This would imply first order in A and first order in B. Since the problem specifies second order in B, this option is inconsistent with the given information and thus incorrect.

Option b: Rate = k[A][B]2. This expression correctly assigns a first-order dependence on A (exponent 1) and a second-order dependence on B (exponent 2), matching the stated reaction orders. Therefore, this option aligns with the described kinetics.

Option c: Rate = k[A]2[B]3. Here, the order with respect to A is 2 and with respect to B is 3. Both of these exponents contradict the given first-order in A and second-order in B, making this option incorrect.

Option d: Rate = k[A]2[B]. This scenario gives a second order in A and first order in B, again conflicting with the stated orders and thus not permissible based on the information provided.

In summary, only the expression in option b satisfies the specified reaction orders (first order in A, second order in B), while the others misrepresent the kinetic orders required by the problem.

MUF0042 Chemistry Unit 2 - Semester 1, 2025 5.10 Quiz: Rate Laws

Given the following equation for the reaction between A and B: 2A + 3B → C If the reaction is first order with respect to A and second order with respect to B. The rate law is

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