At a certain temperature the reaction CO₂(g) + H₂(g) CO(g) + H₂O(g) ₂
Has K_c = 2.50. If 2.00 mol of carbon dioxide and 1.5 mol of hydrogen are placed in a 5.00 L vessel and equilibrium is established, what will be the concentration of carbon monoxide?

Question

At a certain temperature the reaction CO₂(g) + H₂(g)

At a certain temperature the reaction CO<sub>2</sub>(g) + H<sub>2</sub>(g) CO(g) + H<sub>2</sub>O(g) <sub>2</sub> Has K<sub>c</sub> = 2.50. If 2.00 mol of carbon dioxide and 1.5 mol of hydrogen are placed in a 5.00 L vessel and equilibrium is established, what will be the concentration of carbon monoxide? A) 0.091 M B) 0.191 M C) 0.209 M D) 0.913 M E) 1.05 M

CO(g) + H₂O(g) ₂
Has K_c = 2.50. If 2.00 mol of carbon dioxide and 1.5 mol of hydrogen are placed in a 5.00 L vessel and equilibrium is established, what will be the concentration of carbon monoxide?

Quizplus · Accepted Answer

Using the chemical equation, the initial concentrations of COS and HS are both (2.00 mol)/(5.00 L) = 0.4 M. 
Let x be the change in concentration of COS, HS and H2S. Then the equilibrium concentration of CO will be (2.00 - x) mol/L.

From the equilibrium constant expression:

Kc = [CO][H2S] / [COS][HS]

Substituting in the values:

2.50 = (2.00 - x)(1.5 - x) / x^2

Solving for x:

x = 0.328 M

Therefore, the equilibrium concentration of CO is:

[CO] = (2.00 - x) = 1.672 M / 5.00 L

[CO] = 0.209 M

Therefore, the answer is choice C.

At a Certain Temperature the Reaction CO2(g) + H2(g)

At a Certain Temperature the Reaction CO₂(g) + H₂(g)