AP EAMCET · Chemistry · States of Matter

The rate constant is same for $3$ reactions of order $I$ , $II$ and $III$ , respectively, the unit of concentration being in moles per litre. If the concentration of the reactant is unity, the rates of reaction $R_{1}, R_{2}, R_{3}$ will be

A $R_{1} = R_{2} = R_{3}$
B $R_{1} < R_{2} < R_{3}$
C $R_{1} > R_{2} > R_{3}$
D $R_{1} = R_{2} \neq R_{3}$

Verified Solution

Answer & Solution

Correct Answer

(A) $R_{1} = R_{2} = R_{3}$

Step-by-step Solution

Detailed explanation

Suppose R1, R2 and R3 are the rates of three reactions of first, second and third-order, respectively, and k is the rate constant for all three reactions. R1=kA R2=kA2 R3=kA3A being the concentration of reaction A in mole per litre. Now,…

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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The rate constant is same for 3 reactions of order I, II and III, respectively, the unit of concentration being in moles per litre. If the concentration of the reactant is unity, the rates of reaction R1, R2, R3 will be

Step-by-step Solution

The rate constant is same for $3$ reactions of order $I$ , $II$ and $III$ , respectively, the unit of concentration being in moles per litre. If the concentration of the reactant is unity, the rates of reaction $R_{1}, R_{2}, R_{3}$ will be