at equilibrium? at equilibrium? yes no yes no
at equilibrium? at equilibrium? yes no yes no
Answer
Explanation:
Step1: Recall equilibrium constant concept
The equilibrium constant $K$ is related to the ratio of product - to - reactant concentrations at equilibrium. If the system is at equilibrium, the ratio of concentrations of products to reactants (raised to their stoichiometric coefficients) should equal the given $K$ value.
Step2: Analyze left - hand side system
For the left - hand side reaction $\text{blue} \rightleftharpoons \text{purple}$, if we assume that each cluster represents a certain number of moles, and calculate the ratio of the number of purple to blue clusters, we see that the ratio of purple to blue clusters is consistent with $K=\frac{2}{3}$. So it is at equilibrium.
Step3: Analyze right - hand side system
For the right - hand side reaction $\text{green} \rightleftharpoons \text{yellow}$, if we calculate the ratio of the number of yellow to green clusters, we find that the ratio of yellow to green clusters is not consistent with $K = \frac{1}{4}$. So it is not at equilibrium.
Answer:
yes no