Step 1:
The equilibrium constant $K_{c}$ for the reaction is given by the expression:
$$
K_{c}=\frac{[AB_{2}]^{2}}{[A_{2}][B_{2}]^{2}}
$$
where $[AB_{2}]$, $[A_{2}]$, and $[B_{2}]$ are the molar concentrations of $AB_{2}$, $A_{2}$, and $B_{2}$ respectively at
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