Question

Match List-I with List-II.

• A. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
• B. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
• C. (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
• D. (A)-(II), (B)-(IV), (C)-(III), (D)-(I)

Hint:

Remember the standard first-order formula: \[ k=\frac{2.303}{t}\log\frac{[R]_0}{[R]} \] It is one of the most frequently used equations in chemical kinetics.

Answer 1

The Correct Option is B

Concept: Chemical kinetics involves several important equations that describe reaction rates and rate constants.

Step 1: Match Collision Theory.
Collision theory states \[ \text{Rate} = PZ_{AB}e^{-E_a/RT} \] Hence \[ (A)\rightarrow(IV) \]

Step 2: Match Arrhenius equation.
\[ k=Ae^{-E_a/RT} \] Thus \[ (B)\rightarrow(II) \]

Step 3: Match zero-order rate constant expression.
\[ [R]=[R]_0-kt \] or \[ k=\frac{[R]_0-[R]}{t} \] Hence \[ (C)\rightarrow(I) \]

Step 4: Match first-order rate constant expression.
\[ k=\frac{1}{t}\ln\frac{[R]_0}{[R]} \] Therefore \[ (D)\rightarrow(III) \]

Step 5: Write the correct matching.
\[ (A)-(IV),\ (B)-(II),\ (C)-(I),\ (D)-(III) \]