Calculate equilibrium pressure of A2, C, A2C2 and A2B
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Assume that Initially 12 m moles of A2 are present. Then 4m moles of C and 15m moles of B are mixed in to the container. Volume of the container is fixed.
At equilibrium we will have x moles of A8, y moles of A2C2 and z moles of A2B from the three reactions. That means 12m-4x-y-z moles of A , 15m-z moles of B , 4m-2y moles of C are present.
The total number of moles in the mixture = N
N = 12m-4x-y-z + 15m-z + 4m-2y + x + y + z =
N = 31 m - 3x - 2y - z ---(1)
Partial pressure of A8 = 0.3 atm. Total Pressure = 1.8 atm.
Mole fraction of A8 = x/N = 0.3/1.8 = 1/6.
=> N = 6 x
=> 31 m = 9x + 2y + z --- (2)
Kp of reaction 4 A2 <==> A8 is 3.6/atm³
Partial pressure of A2 = p_A2.
p_A2 = (12m-4x- y -z)/(6x) * 1.8
=> Kp = p_A8 / (p_A2)⁴ = 3.6
p_A2 = (0.3/3.6)^0.25 = 0.537 atm. --(3)
p_A2 = 1.8 * (12m - 4x - y - z)/6x = 0.537
=> 10.4 x + 1.35 y + 2.35 z = 9.2 m ---(4)
Continue further for the partial pressures of other gases.
p_B = 15m/6x , p_C = (4m-2y)/6x p_A2C2 = y/6x
At equilibrium we will have x moles of A8, y moles of A2C2 and z moles of A2B from the three reactions. That means 12m-4x-y-z moles of A , 15m-z moles of B , 4m-2y moles of C are present.
The total number of moles in the mixture = N
N = 12m-4x-y-z + 15m-z + 4m-2y + x + y + z =
N = 31 m - 3x - 2y - z ---(1)
Partial pressure of A8 = 0.3 atm. Total Pressure = 1.8 atm.
Mole fraction of A8 = x/N = 0.3/1.8 = 1/6.
=> N = 6 x
=> 31 m = 9x + 2y + z --- (2)
Kp of reaction 4 A2 <==> A8 is 3.6/atm³
Partial pressure of A2 = p_A2.
p_A2 = (12m-4x- y -z)/(6x) * 1.8
=> Kp = p_A8 / (p_A2)⁴ = 3.6
p_A2 = (0.3/3.6)^0.25 = 0.537 atm. --(3)
p_A2 = 1.8 * (12m - 4x - y - z)/6x = 0.537
=> 10.4 x + 1.35 y + 2.35 z = 9.2 m ---(4)
Continue further for the partial pressures of other gases.
p_B = 15m/6x , p_C = (4m-2y)/6x p_A2C2 = y/6x
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