Figure $14\mathrm{.}2.$ Fquilibrium constants as a function of temperatureproduction of methanol according to following reaction:

$CO(8)+2H_{2}longrightarrowC{H}_{3}OH$

The equilibrium conversion $10$ methanol is large at $300K,$ but it decreases rapidly with increasing temperature. However, reaction rates becone appreciable only at higher temperatures. For a feed mixture of carbon monoxide and hydrogen in the stoichiometric proportions, answer the followings:

$($a$)$ What is the equilibrium mole fractions of reactants and products at $1$ bar and $300K$ by assuming ideal gas?

$($b$)$ What is the equilibrium mole fractions of reactants and products at $1$ bar and $300K$ by assuming ideal solution of gases?

$($c$)$ At what temperature does the equilibrium mole fraction of methanol equal $0\mathrm{.}50$ for a pressure of $100$ bar, assuming the equilibrium mixture is an idea

The catalytic reaction of carbon monoxide with hydrogen was conducted in a gas phase for the production of methanol according to following reaction:

The equilibrium conversion $10$ methanol is large at $300K,$ but it decreases rapidly with increasing temperature. However, reaction rates become appreciable only at higher temperatures. For a feed mixture of carbon monoxide and hydrogen in the stoichometric proportions, answer the followings:

$($a$)$ What is the equilibrium mole fractions of reactants and products at $1$ bar and $300K$ by assuming ideal gas?

$($b$)$ What is the equilibrium mole fractions of reactants and products at $1$ bar and $300K$ by assuming ideal solution of gases?

$($c$)$ At what temperature does the equilibrium mole fraction of methanol equal $0\mathrm{.}50$ for a pressure of $100$ bar, assuming the equilibrium mixture is an ideal gas?