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AP EAMCET · Chemistry · Chemical Kinetics

A reaction, \(3 \mathrm{X}(\mathrm{g}) \rightarrow 2 \mathrm{Y}(\mathrm{g})+\mathrm{Z}(\mathrm{g})\) takes place in a closed vessel. What is the rate of formation of \(Y\) (in \(\mathrm{mol} \mathrm{L}^{-1}\) ) if the rate of disappearance of \(\mathrm{X}\) is \(7.2 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\) ?

  1. A \(3.6 \times 10^{-3}\)
  2. B \(4.8 \times 10^{-3}\)
  3. C \(2.4 \times 10^{-3}\)
  4. D \(1.2 \times 10^{-3}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(4.8 \times 10^{-3}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { }-\frac{1}{3} \frac{\mathrm{d}[\mathrm{X}]}{\mathrm{dt}}=\frac{1}{2} \frac{\mathrm{d}[\mathrm{Y}]}{\mathrm{dt}}=\frac{\mathrm{d}[\mathrm{Z}]}{\mathrm{dt}} \\ & \Rightarrow \frac{\mathrm{d}[\mathrm{Y}]}{\mathrm{dt}}=\frac{2}{3}…