To determine the mols remaining at equilibrium for the reaction 1A + 1B <-> 1C + 1D with an equilibrium constant (Keq) of 4, the equation defining Keq is expressed as Keq = [C][D]/[A][B]. Starting with 1 mol of each reactant and product, the changes in concentrations at equilibrium can be represented as x, where x is the amount of A and B that react. Thus, at equilibrium, the concentrations will be [A] = 1 - x, [B] = 1 - x, [C] = x, and [D] = x. Substituting these values into the Keq expression leads to the equation 4 = (x)(x)/((1 - x)(1 - x)). Solving this equation will provide the value of x, allowing for the calculation of the remaining moles of each substance at equilibrium.