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Question
What would be the SI unit for the quantity pV2T 2/n?
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Solution
The SI unit for pressure, p is Nm–2.
The SI unit for volume, V is m3.
The SI unit for temperature, T is K.
The SI unit for the number of moles, n is mol.
Therefore, the SI unit for quantity `("pV"^2"T"^2)/"n"` is given by
`= (("Nm"^(-2))("m"^3)^2("K")^2)/"mol"`
`= "Mn"^4"K"^2 "mol"^(-1)`
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For real gases the relation between p, V and T is given by van der Waals equation:
`p + (an^2)/V^2 (V - nb) = nRT`
where ‘a’ and ‘b’ are van der Waals constants, ‘nb’ is approximately equal to the total volume of the molecules of a gas. ‘a’ is the measure of magnitude of intermolecular attraction.
Arrange the following gases in the increasing order of ‘b’. Give reason.
\[\ce{O2, CO2, H2, He}\]
For real gases the relation between p, V and T is given by van der Waals equation:
`p + (an^2)/V^2 (V - nb) = nRT`
where ‘a’ and ‘b’ are van der Waals constants, ‘nb’ is approximately equal to the total volume of the molecules of a gas. ‘a’ is the measure of magnitude of intermolecular attraction.
Arrange the following gases in the decreasing order of magnitude of ‘a’. Give reason.
\[\ce{CH4, O2, H2}\]
