(Solved): could you help me with this? Hydrogen iodide gas decomposes according to the reaction, 2HI(g)H2 ...

Hydrogen iodide gas decomposes according to the reaction, $$2\mathrm{HI}(g)?{\mathrm{H}}_2(g)+{\mathrm{I}}_2(g)$$ A sealed 1.50-L container initially holds $$0.00623\mathrm{mol}$$ of $${\mathrm{H}}_2,0.00414\mathrm{mol}{\mathrm{of}}_2$$, and $$0.0244\mathrm{mol}$$ of $$\mathrm{HI}$$ at $$703\mathrm{K}$$. When equilibrium is reached, the concentration of $${\mathrm{H}}_2(g)$$ is $$0.00467\mathrm{M}$$. What is the equilibrium constant $$K_{\mathrm{c}}$$ at $$703\mathrm{K}$$ for the reaction? 0.00101 15.1 0.0663 $$1.53\times 10^{?5}$$ 0.171