Two aqueous species, A\text{A}A and B\text{B}B, react together to establish a homogeneous equilibrium in solution:
2A(aq)+B(aq)⇌C(aq) 2\text{A}(aq) + \text{B}(aq) \rightleftharpoons \text{C}(aq) 2A(aq)+B(aq)⇌C(aq)An aqueous solution containing 0.60 mol of A\text{A}A is mixed with an aqueous solution containing 0.45 mol of B\text{B}B.
When the mixture reaches equilibrium, it is found to contain 0.080 mol of C\text{C}C.
Calculate the amount of A\text{A}A and the amount of B\text{B}B, in moles, in this equilibrium mixture.
At a different temperature, a separate equilibrium mixture for the same reaction contains 0.30 mol of A\text{A}A, 0.25 mol of B\text{B}B, and 0.060 mol of C\text{C}C dissolved in 500 cm3 of solution.
Calculate the value of the equilibrium constant Kc K_c\,Kc at this temperature and deduce its units.