Van der Waals Equation

Consider the following statements:

The coefficient $\mathrm{B}$ in the virile equation on state

${\mathrm{PV}}_{\mathrm{m}}=\mathrm{RT}\left(1+\frac{\mathrm{B}}{{\mathrm{V}}_{\mathrm{m}}}+\frac{\mathrm{C}}{{\mathrm{V}}_{\mathrm{m}}^2}+\dots \dots ..\right)$

a : is independent of temperature

b : is equal to zero at boyle temperature

c : has the dimension of molar volume

Which of the above statements are correct.

The van der Waal's constant ' $\mathrm{b}$ ' for gas is $0.0329{\mathrm{dm}}^3{ \mathrm{mol}}^{-1}$. The radius of one molecule is :-

A vander Waal's equation for real gas is cubic in $\mathrm{V}$ (Volume of gas). Which of the following statement is true about Vander Waal's equation of state of real gas.

Which of the following are correct statements:

The critical constant for water are $401 \mathrm{K},218 \mathrm{atm}$ and $0.0566$ litre ${\mathrm{mol}}^{-1}.$ Calculate $\mathrm{a}\& \mathrm{b}$.

Calculate the radius of He atoms if its Vander Waal's constant ' $\mathrm{b}$ ' is $24 \mathrm{ml} {\mathrm{mol}}^{-1}$ : (Note $\mathrm{ml}=$ cubic centimeter)

In van der Waal's equation of state for a non-ideal gas, the term that accounts for intermolecular forces is

${\mathrm{NH}}_3$ gas is liquefied more easily than ${\mathrm{N}}_2$. Hence:

The correct order of normal boiling points of ${\mathrm{O}}_2, {\mathrm{N}}_2, {\mathrm{NH}}_3$ and ${\mathrm{CH}}_4$, for whom the values of Van der Waals constant, ${}^{\text{'}}\mathrm{a}^{\text{'}}$, are $1.360, 1.390, 4.170$ and $2.253 {\mathrm{L}}^2. \mathrm{atm}. {\mathrm{mol}}^{-2}$, respectively, is:

Compressibility factor for ${\mathrm{H}}_2$ behaving as real gas is:

For the non-zero value of the force of attraction between gas molecules, gas equation will be:

At a moderate pressure, the Van der Waals' equation is written as:

$\left[\mathrm{P}+\frac{\mathrm{a}}{{\mathrm{V}}^2}\right]\mathrm{V}=\mathrm{RT}$

The compressibility factor is equal to

If a real gas following equation $\mathrm{P}(\mathrm{V} - \mathrm{nb}) = \mathrm{nRT}$, at low pressure then, find the intercept and slope of graph between $\frac{\text{d}}{\text{p}} \mathrm{v}/\mathrm{s} P$ are respectively.