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 reaction
2COF2(g)⇌CO2(g)+CF4(g), Kc=8.00
A.If only COF2 is present initially at a concentration of 2.00 M, what concentration of COF2 remains at equilibrium?
Consider the reaction
CO(g)+NH3(g)⇌HCONH2(g), Kc=0.810
B. If a reaction vessel initially contains only CO and NH3 at concentrations of 1.00 M and 2.00 M, respectively, what will the concentration of HCONH2 be at equilibrium?
2COF2(g) ⇌ CO2(g) + CF4(g), Kc=8.00
IC: 2.0 M 0 0
EC: (2-m) m m
Kc = ([CO2] [CF4]) / [COF2]2
8 = (m x m) / (2 - m)2
7m2 - 32m + 32 = 0
Solving the equation m = 3.09 and m = 1.48.
Since the concentration of the reactant can't be negative, so m= 3.09 is neglected. So, m = 1.48.
Hence, at equilibrium concentration of [COF2] = (2 - 1.48) M = 0.52 M
(b)
CO(g) + NH3(g) ⇌ HCONH2(g), Kc=0.810
IC: 1.00 M 2.00 M 0
EC: 1-m 2-m m
Now,
Kc = [HCONH2] / ( [CO] [NH3] )
0.81 = m / [ (1 - m) (2 - m)]
0.81 = m / [ m2 - 3m + 2]
0.81m2 - 3.43m + 1.62 = 0
Solving the quadratic equation, m = 3.69 and m = 0.54. Neglecting m = 3.69, since it will lead to negative concentration.
So, m = 0.54
At equilibrium concentration of [HCONH2] = m= 0.54
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