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JEE Mains · Chemistry · STD 12 - 3. Chemical kinetics

Consider the reaction \(aX \rightarrow bY\), for which the rate constant at \(30°C\) is \(1 \times 10^{-3}\) mol\(^{-1}\) L s\(^{-1}\). Which of the following statements are true?
A. When concentration of 'X' is increased to four times, the rate of reaction becomes \(16\) times.
B. The reaction is a second order reaction.
C. The half-life period is independent of the concentration of X.
D. Decomposition of \(N_2 O_5\) is an example of the above reaction.
E. \(\ln\dfrac{[R_o]}{[R]}\) vs time is valid for the above reaction.
Choose the correct answer from the options given below:

  1. A A and B Only
  2. B A, B and C Only
  3. C A, B, D and E Only
  4. D C and D Only
Verified Solution

Answer & Solution

Correct Answer

(A) A and B Only

Step-by-step Solution

Detailed explanation

The unit of the rate constant \(k\) is mol\(^{-1}\) L s\(^{-1}\). The general unit of the rate constant for an \(n\)-th order reaction is (mol L\(^{-1}\))\(^{1-n}\) s\(^{-1}\). Equating the powers of the concentration units, we get \(1-n = -1 \Rightarrow n = 2\). Thus, the…
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