Form 5 Chemistry – PHYSICAL CHEMISTRY – Gases

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VAN DER WAAL EQUATION
The deviation of real gases from ideal behaviour has been stuglied by different scientist such as Amagat who deter minal different curves in edu.uptymez.comedu.uptymez.comP
Later on van der wall explained the deviation and gave his equation which tries to work / take particle volume and attraction into account
In his equation
i) He subtracted the particle volume from the volume of the container. If the volume of container is V and that of particular be presented as “b”
Then the total volume of the system will be
V edu.uptymez.comb
This is called “Volume correction”
ii) He also added change in pressure which is caused by the existence of intermolecular forces of attraction among the gaseous molecules

This

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But n = 1 for 1mole

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edu.uptymez.com    This is correction in pressure.


From ideal gas equation

PV = nRT      (n = 1)

PV = RT
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For one mole of the gas
Where “a” is a van der Waal constant
Note
In the van der Waal equation edu.uptymez.comis added to the total pressure in order to cancel the effect of intermolecular forces of attraction

Expansion of the Van der waal equation

From Van der Waal’s equation

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PV edu.uptymez.com
PV = RT edu.uptymez.com
The equation normally work under two assumption these is
If pressure is small then the volume is maximum
The terms Pb and edu.uptymez.comcan be neglected

PV = RT – a/V

ii) When the pressure is very low that is P is approaching O   P    O
So V will be infinity V is edu.uptymez.com
We can calculate that the three term for correction can be neglected
   PV = RT
This is for one mole
General conclusion
At very low pressure the real gases normally behave as ideal gases

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