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Suppose the gas phase isomerization reactions: \( \mathrm{A} \rightleftharpoons \mathrm{B}, \mathrm{A} \rightleftharpoons \mathrm{C} \) and \( \mathrm{B} \rightleftharpoons \mathrm{C} \) achieve equilibrium simultaneously at a fixed temperature. The equilibrium mole fraction of ' \( \mathrm{A} \) ' in terms of equilibrium constants, \( K_{1}, K_{2} \) and \( K_{3} \) (respectively) is
(a) \( \frac{K_{1}}{K_{1}+K_{2}+K_{3}} \)
(b) \( \frac{1}{1+K_{1}+K_{2}} \)
(c) \( \frac{1}{K_{1}+K_{2}+K_{3}} \)
(d) \( \frac{1}{K_{1}+K_{2}} \)
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