An equimolar mixture of carbon monoxide and water vapor at $200\backslash$deg F and $1$ atm enters a reactor operating at steady state. An equilibrium mixture of CO$2,$ H$2,$ CO$,$ and hH$2$O Exists at $2240$ F and $1$ atm. a$)$ Determine the equilibrium constant for CO$2+$ H$2<->$ CO $+$ H$20.$

b$)$ Determine the composition for the equilibrium mixture in terms of the mole fractions: yCO$2,$ yH$,$ yCO, and yH$2$O$.$