What are mole fractions π‘
The mole fraction of a component, A, in a gaseous mixture is denoted Xa
- and is calculated by dividing amount, in moles, of A
- by the total amount of moles of gas in the mixture: π‘
> Xa = moles of A/total moles
Mole fractions can only have values in the range O to 1.
>The sum of mole fractions of all of components in a mixture will be equal to 1.
Whats partial pressure π‘
The partial pressure (pp) of a component, eg A, in mixture of gases
- is the contribution that gas makes to total pressure of the gas mixture.
- It is also pressure if same amt of A were only substance in a container of same size.
> the partial pressure of A is denoted by Pa
- The pp of component can be calculated π‘
- total pressure of mixture x mole fraction of component.
- pa = xa x P
Although partial pressures and concentrations are not the same thing,
> are both proportional to the amount of the substance present.
Expression of Kp
Kp
For the general case of a gaseous homogeneous equilibrium:
aA(g) + bB(g) <> cC(g) + dD(g)
the equilibrium law states that
Kp= p(C)^c x p(D)^d / p(A)^a x p(B)^b
> where p(A)Βͺ is the pp of A raised to the power of a, etc.
>
N(g) + 3H2(g) = 2NH3 (g)
Kp = p(NH3)^2 / p(N) x p(H2)^3
Calculation of Kp
> similar to those to find Kc
> The only diff is after finding number of moles at equilibrium
- instead of conc= moles/vol
- partial pressures are used where
pp = mole fraction x total pressure.
DIAGRAM EXAMPLES 1,2
Example of units if kp
(Pa)2/(Pa)3 x (Pa)
= (Pa)2/(Pa)4
= 1/(Pa)2
= Pa-2
Changes in temperature and other factors on Kp
β’ Kp is constant at particular temperature.
β’ The equilibrium constant, Kp, is affected by changes in temp, but not by changes in pressure,
β’
β’ the presence of a catalyst or changes in conc in mixture.
β’ This is same for all equilibrium constants wch are constant at a particular temp
β’ and are not affected by changes in any other quantities.
..
β’ For the equilibrium:
N2(g) + 3H2 (g) = 2NH:g) ΞH= -92 kJmol-1
β’ Increasing temp favours reverse reaction and position of equilibrium will move to left.
- This will decrease pp of NH and Kp will decrease.
β’ Increasing pressure will favour forward reaction and Position of equilibrium will move right.
- This will have no effect on value of Kp as long as temp remains constant.
β’ Adding more hydrogen to the mixture will increase pp of hydrogen and will move position of equilibrium to right.
- will have no effect on the value of K, as long as the temperature remains constant.