Van der Waals Equation

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

Van der Waal’s real gas, act as an ideal gas, at which conditions ?

At which one of the following temperature – pressure conditions the deviation of a gas from ideal behaviour is expected to be minimum ?

When deviation is more in the behaviour of a gas from the ideal gas equation PV = nRT ?

Significance of Van der Waals Constant 'b'

According to kinetic theory, the gas particles occupy a negligible fraction of the total volume of the gas. This assumption is responsible for the volume correction in the ideal gas equation of real gases.

Mentions two assumptions of kinetic theory of gases, which are responsible for the volume correction in the ideal gas equation of real gases.

Explain the factors responsible for the volume correction in the ideal gas equation of real gases.

Which of the following expressions is correct between the van der Waals constant $\mathrm{b}$ and the radius $\mathrm{r}$ of spherical molecules?

For an ideal gas, the compressibility factor is

For one mole of a van der Waals' gas, the compressibility factor $Z=\left(\frac{pV}{RT}\right)$ at a fixed volume will certainly decrease, if
[Given : " a " and " b " are standard parameters for van der Waals' gas]
 

$\frac{{\mathrm{n}}^2\mathrm{a}}{{\mathrm{v}}^2}$ is also called internal _____ of the gas where $\text{'}\mathrm{a}\text{'}$ is a measure of force of attraction between gas molecule.

Which of the following represents a plot of compressibility factor $\left(\mathrm{Z}\right)$ vs pressure $\left(\mathrm{P}\right)$ at room temperature for ${\mathrm{O}}_2?$

For one mole of a van der Waals gas when $\mathrm{b}=0$ and $\mathrm{T}=300 \mathrm{K}$, the $\mathrm{PV} \mathrm{vs} \mathrm{I}/\mathrm{V}$ plot is shown below. The value of the van der Waals constant $\text{'}\mathrm{a}\text{'} (\mathrm{atm}. {\mathrm{litre}}^2 {\mathrm{mol}}^{-2})$is

For $1$ mole of gas II, the van der Waals equation reduces to the form

In fig. (b), the correct order of temperatures is

In fig. (a), the gas which is above the Boyle temperature is

If ${\mathrm{V}}_{\mathrm{o}}$ is the observed volume of a gas and ${\mathrm{V}}_{\mathrm{i}}$ is the ideal gas or volume, then the compressibility factor $\left(\mathrm{Z}\right)$ for the gas is

Select the correct order followed by boyle's temperature $\left({\mathrm{T}}_{\mathrm{b}}\right)$, critical temperature $\left({\mathrm{T}}_{\mathrm{c}}\right),$ and inversion temperature $\left({\mathrm{T}}_{\mathrm{i}}\mathrm{ }\right)$.

Using van der Waal's equation, calculate the constant $\text{'a'}$ when two moles of gas confined in a four litre flask exert a pressure of $\text{11.0 atm}$ at a temperature of $\text{300 K}$. The value of $\text{'b'}$ is ${\text{0.05 L mol}}^{-1}$.