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K c = 255 @1000 K for the given reaction:CO (g) + Cl 2 (g) <---> COCl 2(g) A rea

ID: 691174 • Letter: K

Question

Kc = 255 @1000 K for the given reaction:CO(g) + Cl2 (g) <---> COCl2(g) A reaction mixture initally contains a CO concentration of0.1450 M and a Cl2 concentration of 0.179 M at 1000K. 1) What is the equilibrium concentration of CO @ 1000 K? 2) What is the equilibrium concentration of Cl2 @1000K? 3) What is the equilibrium concentration of COCl2 @1000K? Kc = 255 @1000 K for the given reaction:CO(g) + Cl2 (g) <---> COCl2(g) A reaction mixture initally contains a CO concentration of0.1450 M and a Cl2 concentration of 0.179 M at 1000K. 1) What is the equilibrium concentration of CO @ 1000 K? 2) What is the equilibrium concentration of Cl2 @1000K? 3) What is the equilibrium concentration of COCl2 @1000K? A reaction mixture initally contains a CO concentration of0.1450 M and a Cl2 concentration of 0.179 M at 1000K. 1) What is the equilibrium concentration of CO @ 1000 K? 2) What is the equilibrium concentration of Cl2 @1000K? 3) What is the equilibrium concentration of COCl2 @1000K?

Explanation / Answer

let x be the concentration of COCl2 formed atEquilibrium                                        CO(g) + Cl2 (g) <---> COCl2(g) initialconc.                   0.145      0.179              0 change                            -x            -x                   x Equbconc.                 0.145-x     0.179-x            x Given Equilibrium constant , Kc = 255 By the definition of Kc , Equilibrium constant , Kc = [COCl2 ] / ( [CO] [ Cl2] )                                255 = x / ( ( 0.145-x ) * ( 0.179 - x )                   ==> x^2 - 0.3279 x + 0.0259 = 0        x = { -(-0.3279 )±[( -0.3279)^2 - 4 ( 1 ) ( 0.0259 ) ] } / 2(1)           =[0.3279 ± 0.039 ] / 2           =(0.3279 ± 0.0624 ) / 2 x = 0.1951M (omit since it is higher hanthe initial conc. of CO )   or    x =0.1127 M So [COCl2 ] = 0.1127 M [CO] = 0.145-x = 0.145 - 0.1127 = 0.0323 M [Cl2 ] = 0.179-0.1127 = 0.0663 M