A reaction is first order with respect to a reactant A and second order with respect to reactant B. What is the effect of rate when concentration of both A and B increased by doubled ?

A Eight times
B Three times
C Doubled
D Sixteen times

Verified Solution

Answer & Solution

Correct Answer

(A) Eight times

Step-by-step Solution

Detailed explanation

A
\(r_1=k[A][B]^2\)

Concentration of A and B increased by doubled.
\(\begin{aligned}r_2 & =k[2 A] \cdot[2 B]^2 \\& =2 \times 4 k[A] \cdot[B]^2 \\& =8 r_1 \\& =\text { Eight times } \\\end{aligned}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From GUJCET

Explore more questions on app