question archive A mixture of gaseous CO and H2, called synthesis gas, is used commercially to prepare methanol (CH3OH), a compound considered an alternative fuel to gasoline

A mixture of gaseous CO and H2, called synthesis gas, is used commercially to prepare methanol (CH3OH), a compound considered an alternative fuel to gasoline

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A mixture of gaseous CO and H2, called synthesis gas, is used commercially to prepare methanol (CH3OH), a compound considered an alternative fuel to gasoline. Under equilibrium conditions at 550.3 K,[H2] = 0.06705 mol/L, [CO] = 0.02119 mol/L, and [CH3OH] = 0.0401 mol/L. What is the value of Kc for this reaction at 550.3 K?

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The equilibrium constant Kc for the reaction at the temprature is 420.94

Step-by-step explanation

The concentrations at equillibrium are given as:

CO at equilibrium = 0.02119 mol/L

H2 at equilibrium = 0.06705 mol

Concentration of CH3OH at equilibrium = 0.0401 mol

 

The chemical reaction as described above can be written as:

CO +2H2→ CH3OH

Kc for a reaction is given by: Kc=[AB]/[A][B]

As such we have:

[CH3OH]/[CO][H2]2

(0.0401/0.02119 x 0.067052)

=420.94