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28. 10. 10 mol of N,Q, is added to IL flask, what will be the concentrations atequilibrium? (quadratie equation required) N20
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28)

number of moles of N2O4 = 0.10 mol

volume = 1L

Concentration of N2O4 = number of moles/volume = 0.10/1.0 = 0.10M

                               N2O4 \rightleftharpoons 2 NO2           K = 0.211

Initial                      0.10            0

change                    -x              +2x

equilibirum            0.10-x         +2x

K = [NO2]^2 / [N2O4]

0.211 = (2x)^2 / ( 0.10-x)

0.211 = 4x^2 / 0.10-x

0.0211- 0.211x = 4x^2

4x^2 + 0.211x - 0.0211=0

for solving the equation

x= 0.051

at equilibrium

concentration of N2O4 = 0.10-x = 0.10 - 0.051 = 0.049M

concentration of NO2 = 2x = 2x 0.051 = 0.102M

29)

                                     HA \rightleftharpoons H+ + A-                Kc = 1.6 x10^-7

Initial                           0.20        0       0

change                       -x           +x      +x

equilibrium               0.20-x       +x      +x

Kc = [H+] [ A-] / [HA]

1.6 x10^-7 = x*x/(0.20-x)

for solving the equation

x= 0.000179

at equilibirum

[HA] = 0.20 - 0.000179 = 0.1998M

[H+] = 0.000179M = 1.79x10^-4M

[A-] = 0.000179M = 1.79x10^-4M

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