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AP EAMCET · Chemistry · Chemical Equilibrium

For the gaseous reactions (I) and (II), the equilibrium constants are \(X\) and \(Y\) respectively.
I. \(\frac{1}{2} \mathrm{~N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons \mathrm{NO}_2(g)\)
II. \(2 \mathrm{NO}_2(g) \rightleftharpoons \mathrm{N}_2 \mathrm{O}_4(g)\)
Using the above reactions the equilibrium constant \(Z\) for the reaction (III) given below is
III. \(\mathrm{N}_2 \mathrm{O}_4(g) \rightleftharpoons \mathrm{N}_2(g)+2 \mathrm{O}_2(g)\)

  1. A \(Z=X Y\)
  2. B \(Z=\frac{Y^2}{X}\)
  3. C \(Z=\frac{1}{X Y^2}\)
  4. D \(Z=\frac{1}{X^2 Y}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(Z=\frac{1}{X^2 Y}\)

Step-by-step Solution

Detailed explanation

For reaction \(\begin{aligned} \frac{1}{2} \mathrm{~N}_2(g)+\mathrm{O}_2(g) & \rightleftharpoons \mathrm{NO}_2(g) \\ X & =K_{C_1}=\frac{\left[\mathrm{NO}_2\right]}{\left[\mathrm{N}_2\right]^{1 / 2}\left[\mathrm{O}_2\right]} \end{aligned}\)…