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Chemical Kinetics question

2021 · Q30
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Chemical Kinetics question

2021 · Q30

IIT JAMChemistryChemical KineticsMCQ+2 / −0.67
For the consecutive reaction, X→kXY→kYZX \xrightarrow{k_X} Y \xrightarrow{k_Y} ZXkX​​YkY​​Z C0C_0C0​ is the initial concentration of X. The concentrations of X, Y and Z at time ttt are CXC_XCX​, CYC_YCY​ and CZC_ZCZ​, respectively. The expression for the concentration of Y at time ttt is
  1. A
    kXC0kY−kX(e−kXt−e−kYt)\frac{k_X C_0}{k_Y - k_X} (e^{-k_X t} - e^{-k_Y t})kY​−kX​kX​C0​​(e−kX​t−e−kY​t)
  2. B
    kXCXkY−kX(e−kXt−e−kYt)\frac{k_X C_X}{k_Y - k_X} (e^{-k_X t} - e^{-k_Y t})kY​−kX​kX​CX​​(e−kX​t−e−kY​t)
  3. C
    kXC0kY−kX(e−kYt−e−kXt)\frac{k_X C_0}{k_Y - k_X} (e^{-k_Y t} - e^{-k_X t})kY​−kX​kX​C0​​(e−kY​t−e−kX​t)
  4. D
    kXCXkY−kX(e−kYt−e−kXt)\frac{k_X C_X}{k_Y - k_X} (e^{-k_Y t} - e^{-k_X t})kY​−kX​kX​CX​​(e−kY​t−e−kX​t)
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Correct answer: A

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