The reaction ${ 2A_{(g)} + B_{(g)} <=> 3C_{(g)} + D_{(g)}}$ is begun with the concentrations of $A$ and $B$ both at an intial value of $1.00\, M$. When equilibrium is reached, the concentration of $D$ is measured and found to be $0.25 \,M$. The value for the equilibrium constant for this reaction is given by the expression.