Final answer:
The equilibrium constant (Kc) for the reaction 2 R (g) ⇌ Q (g) can be calculated using the provided equilibrium concentrations, resulting in a value of approximately 2.03 at 25 °C.
Step-by-step explanation:
For the reaction 2 R (g) ⇌ Q (g), the value of the equilibrium constant (Kc) can be calculated using the equilibrium concentrations of the substances involved at a given temperature.
In this case, the provided equilibrium concentrations are [R] = 0.776 M and [Q] = 1.22 M at 25 °C. The equilibrium constant for the reaction is given by the expression Kc = [Q]x / [R]y, where x and y are the stoichiometric coefficients from the balanced chemical equation, which in this case are x = 1 for Q and y = 2 for R.
Substituting the given values into the equation for Kc, we get:
Kc = (1.22)1 / (0.776)2
Kc = 1.22 / 0.7762
Kc = 1.22 / 0.601
So, the equilibrium constant Kc is approximately 2.03 at 25 °C.