The reaction quotient, denoted as q, is a mathematical expression that relates the concentrations of the reactants and products in a chemical reaction at any point in time. It serves as a tool to determine the direction in which a reaction will proceed to reach equilibrium, comparing the current state of the system to its equilibrium state. By evaluating q, one can predict whether reactants will convert to products or vice versa, providing insight into how far a reaction has progressed.