Consider the reaction

$H_2(g)+I_2(g)2HI(g)$

A reaction mixture in a $3\mathrm{.}600-L$ flask at a certain temperature initially contains $0\mathrm{.}7660g{H}_2$ and $97\mathrm{.}00g{I}_2.$ At equilibrium, the flask contains $90\mathrm{.}60$gHI.

Part A

Calculate the equilibrium constant $(K_c)$ for the reaction at this temperature.

Express your answer to two significant figures.

$K_c=$