Consider argon purging of liquid steel in a ladle at $1600\backslash$deg C through bottom tuyeres. The gas bubbles coming out contain $10\%$ CO$,5\%$ N$2,5\%$ H$$ and rest Ar$.$ Assuming the gas to be at equilibrium with molten steel at the exit. The steel contains $1\%$ C$,2\%,$Mn and $0\mathrm{.}5\%$ Si$.$Calculate the concentration of C that is leaving system as CO$?$