Dissociation of a gas \( \mathrm{A_{2}} \) takes place according to the following chemical reaction. At equilibrium, the total pressure is \( 1 \,\mathrm{bar} \) at \( 300 \,\mathrm{K} \). \( \mathrm{A_{2}(g)} \rightleftharpoons 2\,\mathrm{A(g)} \) The standard Gibbs energy of formation of the involved substances has been provided below:

The degree of dissociation of \( \mathrm{A_{2}(g)} \) is given by \( \left(x \times 10^{-2}\right)^{1/2} \) where \( x = \) ____ . (Nearest integer).
[Given: \( R = 8 \,\mathrm{J\,mol^{-1}\,K^{-1}} \), \( \log 2 = 0.3010 \), \( \log 3 = 0.48 \) ]
Assume degree of dissociation is not negligible.