CH4 and H2O were mixed in a 0.64 L reactor at 1800 K. Steam reforming took place according to: CH4 (g) + H2O (9) CO (g) + 3 H2 (9) The equilibrium constant for this reaction is K+0.28. At equilibrium, the reactor contained 0.36 mol of CO, 0.081 mol of Ha and 0.051 mol of CH. What is the concentration of H20 at equilibrium?

Respuesta :

Answer:

0.05110 mol/L is the concentration of water at equilibrium.

Explanation:

[tex] CH_4 (g)+H_2O(g)\rightleftharpoons CO (g)+3 H_2 (g)[/tex]

An equilibrium constant of the given reaction =[tex]K_c=0.28[/tex]

Volume of the container = V = 0.64 L

Concentration =[tex]\frac{Moles}{Volume}[/tex]

Concentration of CO=[tex][CO]=\frac{0.36 mol}{0.64 L}[/tex]

Concentration of[tex]H_2=[H_2]=\frac{0.081 mol}{0.64 L}[/tex]

Concentration of[tex]CH_4=[CH_4]=\frac{0.051 mol}{0.64 L}[/tex]

Concentration of[tex]H_2O=[H_2O]=?[/tex]

An expression of an equilibrium constant  is given as:

[tex]K_c=\frac{[CO][H_2]^3}{[CH_4][H_2O]}[/tex]

[tex]0.28=\frac{\frac{0.36 mol}{0.64 L}\times (\frac{0.081 mol}{0.64 L})^3}{\frac{0.051 mol}{0.64 L}\times [H_2O]}[/tex]

[tex][H_2O]=0.05110 mol/L[/tex]

0.05110 mol/L is the concentration of water at equilibrium.