Question

At equilibrium $X+Y\rightleftharpoons 3Z$, 1 mol of X, 2 mol of Y and 4 mol of Z are contained in a 3-L vessel. Among the given values of reaction coefficient Q, given at three different instants, which value refers to system at equilibrium?

• A. $10$
• B. $15$
• C. $10.67$
• D. $20$

Answer 1

The correct option is C $10.67$

Volume $=3L$
$\underset{\frac{1}{3}}{X}+\underset{\frac{2}{3}}{Y}\rightleftharpoons \underset{\frac{4}{3}}{3Z}$
$K=\frac{[Z{]}^3}{\left[X\right]\left[Y\right]}=\frac{{\left(\frac{4}{3}\right)}^2}{\left[\frac{2}{3}\right]\left[\frac{1}{3}\right]}=10.67$
a. $Q=10,\therefore Q<K$
The reaction proceed forward direction to attain the equilibrium value of K
b. $Q=15,\therefore Q<K$
The reaction proceeds backward direction to attain the equilibrium value of K (10.67).
c. $Q=1.67,thereforeQ=K$
The system is at equilibrium.