1.

Give a detailed accounte on compressbility factor.

Answer»

Solution :The deviation of real GASES from ideal behaviour is meausred in terms of a ratio of PV to nRT. This is termed as compression factor.
MATHEMATICALLY,
`Z=(PV)/(nRT)`
For ideal gases `Z=1` at all temperatures and pressure, because `PV=nRT`
(II) When a gas deviates from ideal behaviour, its Z value deviates from unity.
(iii) At high pressure thesegases have `Z gt 1` and are difficult to compress. At intermediate pressures, `Z lt 1`.
(iv) Above the Boyal POINT `Z gt 1` for real gases, ie., the real gases show positive deviation.
(v) Below the Boyle point, the raal gases first show a decreases for, Zreaches a minimum and then increases with the increases in pressure.
(vi) Hence, the compressbility factor Zcan be rwritten as
`Z=(PV_("real"))/(nRT)""(a)`
`V_("ideal")=(nRT)/(P)""(b)`
Substituting (b) in (a)
`Z=(V_("real"))/(V_("ideal'')`
(vi) Where `V_("real")` is the molar volumne of the real gas and `v_("ideal")`is the molar volume of it when it behaves ideal.


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