2.3.1

Properties of Kp (A2 Only)

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Partial Pressures of Gases

If you have a mixture of gases, you can split the total pressure into the pressures of each individual gas.

Partial pressures

Partial pressures

  • Say you have a 50/50 mix of water vapour and nitrogen gas at a pressure of 1 bar.
  • You can split this into a partial pressure for water vapour and nitrogen gas.
    • This follows from the ideal gas law. This states that every gas occupies the same volume under the same conditions.
  • We would say that the water vapour has a partial pressure of 0.5 bar and the nitrogen gas has a partial pressure of 0.5 bar.
A different mixture

A different mixture

  • If we had a 75/25 mixture of oxygen and argon at a pressure of 1 bar, we would say that:
    • The partial pressure of oxygen is 0.75 bar.
    • The partial pressure of argon is 0.25 bar.
Mole fractions

Mole fractions

  • Another way to think about this is using mole fractions.
  • If you have 3 moles of oxygen gas and 2 moles of nitrogen gas, you can define a mole fraction of oxygen and nitrogen.
    • The mole fraction of oxygen is ⅗.
    • The mole fraction of nitrogen is ⅖.
  • If you multiply the mole fraction by the total pressure, you get the partial pressures of the gases.

What is Kp?

Kp is a special type of equilibrium constant that we use for reactions that are in the gas phase.

K<sub>p</sub>

Kp

  • Where Kc uses concentrations, Kp uses partial pressures.
  • The two approaches are equivalent, but it’s much easier to measure the partial pressure of a gas than the concentration of the gas.
How is K<sub>p</sub> defined?

How is Kp defined?

  • The equation for Kp is:
    • Kp=(pD)d(pC)c(pA)a(pB)bK_p = \frac{(p_D)^d(p_C)^c}{(p_A)^a(p_B)^b}
    • Where the reaction is: aA(g) + bB(g) ⇋ cC(g) + dD(g)

Properties of Kp

Much like Kc, Kp has a set of properties you need to know.

Le Chatelier

Le Chatelier

  • Le Chatelier’s principle applies to Kp as much as it does to any aqueous equilibria.
    • If you increase the pressure, the system will decrease the pressure by favouring the reaction that removes moles of gas.
    • If you increase the temperature, the system will decrease the temperature by favouring the reaction that is endothermic.
Temperature

Temperature

  • Just like Kc, Kp is temperature dependent.
  • It will have different values at different temperatures.
Catalysts

Catalysts

  • Catalysts increase the rate of reaction by providing an alternate reaction pathway with a lower activation energy.
    • They do not alter Kp.
Pressure

Pressure

  • Changing pressure does not alter Kp.
Jump to other topics
1

Physical Chemistry

1.1

Atomic Structure

1.2

Amount of Substance

1.3

Bonding

1.4

Energetics

1.5

Kinetics

1.6

Equilibria

1.7

Redox

2

Physical Chemistry 2 (A2 Only)

3

Inorganic Chemistry

4

Inorganic Chemistry 2 (A2 Only)

5

Organic Chemistry 1

6

Organic Chemistry 2 (A2 Only)

6.1

Optical Isomerism (A2 Only)

6.2

Aldehydes & Ketones (A2 Only)

6.3

Carboxylic Acids & Esters (A2 Only)

6.4

Aromatic Chemistry (A2 Only)

6.5

Amines (A2 Only)

6.6

Polymers (A2 Only)

6.7

Biological Organic (A2 Only)

6.8

Organic Synthesis (A2 Only)

6.9

NMR Spectroscopy (A2 Only)

6.10

Chromatography (A2 Only)

6.11

A-A* (AO3/4) - Organic 2

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