(Solved): Consider the reaction for the decomposition of hydrogen disulfide: 2H2S(g)2H2(g)+S2 ...

Consider the reaction for the decomposition of hydrogen disulfide: $\begin{array}{c}2{\mathrm{H}}_2\mathrm{S}(\mathrm{g})?2{\mathrm{H}}_2(\mathrm{g})+{\mathrm{S}}_2(\mathrm{g}),\\ K_{\mathrm{c}}=1.67\times 10^{?7}\text{ at }800^{?}\mathrm{C}\end{array}$ Find the equilibrium concentration of ${\mathrm{S}}_2$. Express the concentration to three significant figures and include the appropriate units. The reaction is carried out at the same temperature with the following initial concentrations: $\begin{array}{rl}\left[{\mathrm{H}}_2\mathrm{S}\right]& =1.40\times 10^{?4}M\\ \left[{\mathrm{H}}_2\right]& =0.00\mathrm{M}\\ \left[{\mathrm{S}}_2\right]& =0.00\mathrm{M}\end{array}$