$100$ kmol$/$h of a stream containing $20$ mol$\%$ CO$,20$ mol$\%$ H$2$O$,$ and $60$

mol$\%$ H$2$ is combined with additional steam and fed to a water$$gas shift

reactor to produce more hydrogen according to the reaction:

$+2->2+2$

The equilibrium constant of the water$$gas shift reaction is $200,$ and the

mole fraction of hydrogen at the outlet is $0\mathrm{.}75.$ Write and balance the

chemical equation. How much additional steam is fed to the water$$gas shift

reactor?