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Carbonyl fluoride, COF_2, is an important intermediate used in the production of

ID: 937710 • Letter: C

Question

Carbonyl fluoride, COF_2, is an important intermediate used in the production of fluorine-containing compounds. For instance, it is used to make the refrigerant carbon tetrafluoride, CF_4 via the reaction 2COF_2 (g) CO_2 (g) + CF_4 (g), K_c = 4.60 If only COF_2 is present initially at a concentration of 2.00 M, what concentration of COF_2 remains at equilibrium? Express your answer with the appropriate units. Consider the reaction CO(g) + NH_3(g) HCONH_2(g),K_c = 0.790 If a reaction vessel initially contains only CO and NH_3 at concentrations of 1.00 M and 2.00 M, respectively, what will the concentration of HCONH_2 be at equilibrium? Express your answer with the appropriate units.

Explanation / Answer

KC = 4.60

Kc = [CO2][CF4]/[COF2]^2

in the equilbirium:

[CO2]= 0 + x

[CF4]= 0 +x

[COF2]= 2-x

substitute

Kc = [CO2][CF4]/[COF2]^2

4.6 = (x*x)/(2-x)^2

solve for x

sqrt(4.6) = x/(2-x)

2.1447*(2-x) = x

4.2894 - 2.1447x = x

3.1447x = 4.2894

x= 4.2894 /3.1447 = 1.364

substitute

[CO2]= 0 + x = 1.364

[CF4]= 0 +x = 1.364

[COF2]= 2-x 2-1.364 = 0.636

[COF2]= 0.636

B)

Kc = 0.79

Kc = [HCONH2] /[CO][NH3]

in equilbrium:

[HCONH2]= 0+x

[CO] = 1 -x

[NH3] = 2-x

substitute

Kc = [HCONH2] /[CO][NH3]

0.79= x /(2-x)(1 -x)

(2-3x +x^2)= x/0.79

1.26582x = (2-3x +x^2)

x^2 -4.2658 +2= 0

x = 0.536 and 3.732 (last one cant be since then we hav enegative concnetrations)

then

[HCONH2]= 0+x = 0.536

[CO] = 1 -x = 1-0.536 = 0.464

[NH3] = 2-x = 2-0.536 = 1.464