At low pressure,the van der Waals equation becomes

  • A
    $PV_m = RT$
  • B
    $P(V_m - b) = RT$
  • C
    $(P + a/V_m^2)(V_m) = RT$
  • D
    $P = RT/V_m + a/V_m^2$

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The relation between pressure exerted by an ideal gas $(P_{ideal})$ and observed pressure $(P_{real})$ is given by the equation
$P_{ideal} = P_{real} + \frac{an^2}{V^2}$
$(i)$ If pressure is taken in $N \ m^{-2}$,number of moles in $mol$,and volume in $m^3$,calculate the unit of $a$.
$(ii)$ What will be the unit of $a$ when pressure is in atmosphere and volume in $dm^3$?

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In the $Vander$ $Waals$ equation,the constant $'b'$ is a measure of $......$.

If the compressibility factor $(Z)$ of a gas at $STP$ is greater than $1$,then what will be the value of its molar volume $(V_m)$?

In the van der Waals equation,which of the following will have the highest value of '$a$'?

$A$ real gas would be most likely to obey the ideal gas laws at

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