Consider the following reaction: A(g)2B(g) Find the equilibrium partial pressure

Question

Consider the following reaction: A(g)2B(g) Find the equilibrium partial pressures of A and B for each of the following different values of Kp. Assume that the initial partial pressure of B in each case is 1.0 atm and that the initial partial pressure of A is 0.0 atm. Make any appropriate simplifying assumptions.

Kp= 1.4 Enter your answers numerically separated by a comma. Express your answers using two significant figures.

Kp= 2.0×104 Enter your answers numerically separated by a comma. Express your answers using two significant figures.

Kp= 2.0×105 Enter your answers numerically separated by a comma. Express your answers using two significant figures.

Explanation / Answer

         A(g) <----> 2B(g)

initial   0          1 atm

chnage   x          -2x

equil     x          1-2x

Kp = pB^2/pA

1. Kp = 1.4

   1.4 = (1-2x)^2/x

x = 0.2215

at equilibrium,

pB = 1-2*0.22 = 0.56 atm

pA = x = 0.22 atm

2. Kp = 2*10^-4

   2*10^-4 = (1-2x)^2/x

x = 0.49

at equilibrium,

pB = 1-2*0.49 = 0.020 atm

pA = x = 0.49 atm

3.

Kp = 2*10^5

   2*10^5 = (1-2x)^2/x

x = 5*10^-6

at equilibrium,

pB = 1-2*5*10^-6 = 0.99 atm

pA = x = 5.0*10^-6 atm

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