MHT CET · Chemistry · Chemical Kinetics

For a chemical reaction rate law is, rate $= K {[A]}^{2} [B] .$ If [A] is doubled at constant $[B],$ the rate of reaction.

A Increase by a factor of 8
B Increase by a factor of 4
C Increases by a factor of 3
D Increases by a factor of 2

Verified Solution

Answer & Solution

Correct Answer

(B) Increase by a factor of 4

Step-by-step Solution

Detailed explanation

Given,
Initial rate

= k {[A]}^{2} [B]

{[A]}^{1} = 2 [A]

Rate

k = {[2 A]}^{2} [B] = 4 k {[A]}^{2} [B]

Thus, if the concentration of

A, [A]

is doubled and that of

[B]

is constant, then initial rate increases by a factor of

4 .

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.

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	Column I		Column II
i	Alzheimer's disease	a	oversecretion of Growth Hormone from pituitary gland in adults.
ii	Diabetes mellitus	b	degeneration of dopamine producing neurons in CNS.
iii	Acromegaly	c	underactivity of Beta cells of pancreas.
iv	Parkinson's disease	d	Degeneration of cholinergic and other neurons in CNS.

Select the correct option from the following

MHT CET 2024 Medium

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For a chemical reaction rate law is, rate =KA2B. If [A] is doubled at constant B, the rate of reaction.

Step-by-step Solution

For a chemical reaction rate law is, rate $= K {[A]}^{2} [B] .$ If [A] is doubled at constant $[B],$ the rate of reaction.