In primary steel making, dissolved Oxygen (O) reacts with carbon (c ) to produce CO(g), at 1 atm pressure according to the reaction C+ O= CO. The equilibrium constant for this reaction is logK=1160/T + 2.003 , where T is kelvin. Assuming the Henrian activity coefficient of both O and C to be unity, the dissolved oxygen content (in wt%) of a plain carbon steel melt with 0.7% C at 1600°C is _____(answer up to four decimal places)