First slide

Chemical Equilibrium

Question

Two solid compounds X and Y dissociates at a certain temperature as follows
$\begin{array}{l} X (s) ⇌ A (g) + 2 B (g); K_{P_{1}} = 9 \times 10^{- 3} {atm}^{3} \\ Y (s) ⇌ 2 B (g) + C (g); K_{p_{2}} = 4.5 \times 10^{- 3} {atm}^{3} \end{array}$
The total pressure of gases over a mixture of X and Y is:

Moderate

A

4.5 atm
B

0.45 atm
C

0.6 atm
D

None of these

Solution

$X (s) ⇌ \underset{x}{A (g) +} \underset{(2 x + 2 y);}{2 B (g)}$
$\begin{aligned} K_{P_{1}} = P_{A} \cdot P_{B (total)}^{2} \\ Y (s) ⇌ \underset{Y}{C (g)} + \underset{(2 y + 2 x);}{2 B (g)} \end{aligned}$
$\begin{aligned} K_{P_{2}} = P_{C} P_{B}^{2} (total) \\ \frac{K_{P_{1}}}{K_{P_{2}}} = \frac{x}{y} \Rightarrow x = 2 y \\ K_{p_{1}} = x (2 x + 2 y)^{2} \end{aligned}$

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