A mixture of \( 1 \) mole of \( \mathrm{H_2O} \) and \( 1 \) mole of \( \mathrm{CO} \) is taken in a \( 10 \) litre container and heated to \( 725 \ \mathrm{K} \). At equilibrium \( 40\% \) of water by mass reacts with carbon monoxide according to the equation: \( \mathrm{CO(g)} + \mathrm{H_2O(g)} \rightleftharpoons \mathrm{CO_2(g)} + \mathrm{H_2(g)} \). The equilibrium constant \( K_c \times 10^2 \) for the reaction is ______. (Nearest integer)
