Final answer:
The equilibrium constant (K) for the substance X in equilibrium at 25.0°C with 17% in the blue form is approximately 0.20.
Step-by-step explanation:
The question is asking to determine the equilibrium constant (K) for a colorless liquid substance X that exists in equilibrium between a red form (Xred) and a blue form (Xblue) at 25.0°C, where 17% of the substance is in the blue form. The equilibrium constant is a dimensionless value that quantifies the ratio of the concentration of the products to the reactants at equilibrium. With 17% of X in the blue form, we can assume that 83% of X is in the red form, as these are the two forms present in the system. The equilibrium constant K can be calculated using the equation K = [Xblue]/[Xred]. If we assume a 100% total concentration, we would have 17% blue and 83% red, which simplifies to K = 0.17/0.83 when expressed in concentration terms. Hence, K would be approximately 0.20.