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AP EAMCET · Chemistry · Chemical Kinetics

The reaction \(X \rightarrow\) products is a first order reaction. In 40 minutes, the concentration of \(X\) changes from \(1.0 \mathrm{M}\) to \(0.25 \mathrm{M}\). What is the initial rate of reaction when \([X]=0.1 \mathrm{M}\) ? \((\log 4=0.60)\)

  1. A \(1.73 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\)
  2. B \(3.47 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\)
  3. C \(1.73 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\)
  4. D \(3.45 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3.45 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}\)

Step-by-step Solution

Detailed explanation

Given, (concentration) \(a=1.0 \mathrm{M}, a-x=0.25 \mathrm{M}, t=40\) minutes For a first order reaction,…
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