Question

The equilibrium constant values, under the same conditions of temperature and pressure, for the equilibria $A_2+3B_2\rightleftharpoons 2A{B}_3$ and $A{B}_3\rightleftharpoons \frac{1}{2}{A}_2+\frac{3}{2}{B}_2$ are respectively, $xmo{l}^{-2}{L}^2$ and $ymol{L}^{-1}$ . The correct relation between $x$ and $y$ is

• A. $x=2y$
• B. $y=2x$
• C. $x=y^{1/2}$
• D. $y=x^{-1/2}$

Answer 1

Answer: (D)

$A_2+3B_2\rightleftharpoons 2A{B}_3;$
$K_1=xmo{l}^{-2}{L}^2\dots (i)$
$A{B}_3\rightleftharpoons \frac{1}{2}{A}_2+\frac{3}{2}{B}_2$,
$K_2=ymol{L}^{-1}\dots (ii)$
Equation $(ii)$ is obtained by reversing equation $(i)$ and then dividing by $2$,
$\therefore K_2=\frac{1}{\sqrt{K_1}}$
$\Rightarrow y=\frac{1}{\sqrt{x}}$
$=x^{-1/2}$