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The equilibrium constant (KP) is 0.22 at a particular temperature for the reacti

ID: 967079 • Letter: T

Question

The equilibrium constant (KP) is 0.22 at a particular temperature for the reaction:

N2O4(g) 2NO2(g)

Given the following sets of initial conditions, what is the net change that must occur for the reaction to reach equilibrium? Does the reaction shift left to reach equilibrium, does the reaction shift right to reach equilibrium or is the reaction at equilibrium at these initial concentrations so no net change will occur?





equilibrium

left

right
  PNO2 = 0.108 atm, PN2O4 = 0.146 atm


equilibrium

left

right
  PNO2 = 0.075 atm, PN2O4 = 0.066 atm


equilibrium

left

right
  PNO2 = 0.283 atm, PN2O4 = 0.14 atm


equilibrium

left

right
  PNO2 = 0.122 atm, PN2O4 = 0.068 atm


equilibrium

left

right
  PNO2 = 0.177 atm, PN2O4 = 0.142 atm

Explanation / Answer

Solution :-

Kp = 0.22

N2O4(g) < ----- > 2NO2(g)

Using the pressure values given in each case we can calculate the Qp and compare it Kp to determine the direction of the shift

1) PNO2 = 0.108 atm, PN2O4 = 0.146 atm

Qp= [NO2]^2/[N2O4]

    = [0.108]^2/0.146

    = 0.07989

Qp < Kp so it will shift to right side

2) PNO2 = 0.075 atm, PN2O4 = 0.066 atm

Qp= [NO2]^2/[N2O4]

    = [0.075]^2/0.066

    = 0.08523

Qp < Kp so it will shift to right side

3) PNO2 = 0.283 atm, PN2O4 = 0.14 atm

Qp= [NO2]^2/[N2O4]

    = [0.283]^2/0.14

    = 0.572

Qp > Kp so it will shift to left side

4) PNO2 = 0.122 atm, PN2O4 = 0.068 atm

Qp= [NO2]^2/[N2O4]

    = [0.122]^2/0.068

    = 0.22

Qp = Kp so it is at equilibrium

5) PNO2 = 0.177 atm, PN2O4 = 0.142 atm

Qp= [NO2]^2/[N2O4]

    = [0.177^2/0.142

    = 0.22

Qp = Kp so it is it at equilibrium

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