1. Tardigrade
  2. Question
  3. Chemistry
  4. Two solid compounds X and Y dissociates at a certain temperature as follows X ( s ) leftharpoons A ( g )+2 B ( g ) ; KP 1=9 × 10-3 atm 3 X ( s ) leftharpoons 2 B ( g )+ C ( g ) ; KP 2=4.5 × 10-3 atm 3 The total pressure of gases over a mixture of X and Y is:

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Q. Two solid compounds $X$ and $Y$ dissociates at a certain temperature as follows
$X ( s ) \rightleftharpoons A ( g )+2 B ( g ) ;\, K_{P 1}=9 \times 10^{-3} atm ^{3}$
$X ( s ) \rightleftharpoons 2 B ( g )+ C ( g ) ;\, K_{P 2}=4.5 \times 10^{-3} atm ^{3}$
The total pressure of gases over a mixture of $X$ and $Y$ is:

Equilibrium

Solution:

Let $x$ be partial pressure of $A$ and $y$ be partial pressure of $C$ when
both equilibrium are simultaneously established in a vessel
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$\frac{K_{P_{1}}}{K_{P_{2}}}=\frac{x}{y}$
$\Rightarrow x=2 y$
$K P_{1}=x(2 x+2 y)^{2}$
$\Rightarrow x=0.1$ atm ;
$\therefore y=0.05$ atm ;
Total pressure of gases $=P_{A}+P_{B}+P_{C}$
$=3(x +y)=0.45$ atm.