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Carbonyl fluoride, COF2, is an important intermediate used in the production of fluorine-containing compounds. For instance, it is used to make the refrigerant carbon tetrafluoride, CF4 via the reaction2COF2(g)⇌CO2(g)+CF4(g), Kc=4.10If only COF2 is present initially at a concentration of 2.00 M, what concentration of COF2 remains at equilibrium?Express your answer with the appropriate units.

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dsdrajlin

Answer:

0.396 M

Explanation:

Let's consider the following reaction.

2 COF₂(g) ⇌ CO₂(g) + CF₄(g)

We can find the concentrations at equilibrium using an ICE Chart.

         2 COF₂(g) ⇌ CO₂(g) + CF₄(g)

I            2.00              0            0

C           -2x                +x          +x

E         2.00-2x            x             x

The concentration equilibrium constant (Kc) is:

[tex]Kc=4.10=\frac{[CO_{2}][CF_{4}]}{[COF_{2}]^{2} } =\frac{x^{2} }{(2.00-2x)^{2} } =(\frac{x}{2.00-2x} )^{2} \\\sqrt{4.10} = \frac{x}{2.00-2x}\\4.05-4.05x=x\\x=0.802[/tex]

The concentration of COF₂ at equilibrium is:

[COF₂] = 2.00-2x = 2.00-2(0.802) = 0.396 M

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