The concentration equilibrium constant for the gas-phase reaction
$$\mathrm{H}_{2} \mathrm{CO} \rightleftharpoons \mathrm{H}_{2}+\mathrm{CO}$$
has the numerical value 0.50 at a given temperature. A mixture of $\mathrm{H}_{2} \mathrm{CO}, \mathrm{H}_{2},$ and $\mathrm{CO}$ is introduced into a flask at this temperature. After a short time, analysis of a small sample of the reaction mixture shows the concentrations to be $\left[\mathrm{H}_{2} \mathrm{CO}\right]=0.50 \mathrm{M},\left[\mathrm{H}_{2}\right]=0.80 \mathrm{M},$ and $[\mathrm{CO}]=0.25 \mathrm{M}$ Classify each of the following statements about this reaction mixture as true or false.
(a) The reaction mixture is at equilibrium.
(b) The reaction mixture is not at equilibrium, but no further reaction will occur.
(c) The reaction mixture is not at equilibrium, but will move toward equilibrium by using up more $\mathrm{H}_{2} \mathrm{CO}$.
(d) The forward rate of this reaction is the same as the reverse rate.