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Carbonyl fluoride, COF2, is an important intermediate used inthe production of f

ID: 691322 • Letter: C

Question

Carbonyl fluoride, COF2, is an important intermediate used inthe production of fluorine-containing compounds. For instance, itis used to make the refrigerant carbon tetrafluoride, CF4 via thereaction 2COF2(g) is in equilibrium with CO2 (g) + CF4 (g) Kc=5.00 If only COF2 is present initially at a concentration of 2.00M, what concentration of COF2 remains at equilibrium? Any help is appreciated! Carbonyl fluoride, COF2, is an important intermediate used inthe production of fluorine-containing compounds. For instance, itis used to make the refrigerant carbon tetrafluoride, CF4 via thereaction 2COF2(g) is in equilibrium with CO2 (g) + CF4 (g) Kc=5.00 If only COF2 is present initially at a concentration of 2.00M, what concentration of COF2 remains at equilibrium? Any help is appreciated!

Explanation / Answer

Let x be the concentration of the CO2 & CF4 atequlibriu                              2COF2(g) <----> CO2 (g) + CF4 (g) : Kc=5.00 initialconc.              2M                        0            o change                       -2x                        +x         + x Equbconc.             2-2x                           x          x The Equilibriun constant for the above reaction is , Kc =([CO2 ] [CF4] ) / [CoF2] 2                                                                            5.0 = ( x * x ) / (2-2x) 2                                  5 *  (2-2x) 2 = x2                               19x2 -40x + 20 = 0        x = {-(-40) ±( (-40) ^2 -4(19)(20))} / 2*19        x = 0.81725 M & x = 1.288M We neglect 1.288M value because 2-2x is -ve So the concentration of COF2 left = 2 - 2(0.81725) =0.3655 M                               19x2 -40x + 20 = 0        x = {-(-40) ±( (-40) ^2 -4(19)(20))} / 2*19        x = 0.81725 M & x = 1.288M We neglect 1.288M value because 2-2x is -ve So the concentration of COF2 left = 2 - 2(0.81725) =0.3655 M