The equilibrium constant for decomposition of
\( \mathrm{H_2O(g)} \rightleftharpoons \mathrm{H_2(g)} + \tfrac{1}{2}\mathrm{O_2(g)}\)
\( (\Delta G^\circ = 92.34 \, \text{kJ mol}^{-1}) \) is \( 8.0 \times 10^{-3} \) at \( 2300 \, \text{K} \) and total pressure at equilibrium is \( 1 \, \text{bar} \). Under this condition, the degree of dissociation \( (\alpha) \) of water is ______ \( \times 10^{-2} \). (Nearest integer value)
[Assume \( \alpha \) is negligible with respect to \( 1 \)]
