Behaviour of Real Gases — Prelims Questions

Which of the following statements is INCORRECT regarding the behavior of real gases?

For one mole of a real gas, the van der Waals equation is given by $(P + a/V^2)(V - b) = RT$. If the critical temperature ($T_c$) and critical pressure ($P_c$) of a gas are $126,\text{K}$ and $33.5,\text{atm}$ respectively, what is the value of the van der Waals constant 'a' for this gas? (Given $R = 0.0821,\text{L atm mol}^{-1} \text{K}^{-1}$)

Which of the following gases would you expect to have the highest value of the van der Waals constant 'a'?

At what conditions do real gases show maximum deviation from ideal gas behavior?

For a real gas, the compressibility factor Z is plotted against pressure P at a constant temperature. If the plot shows Z < 1 for a range of pressures, what does this primarily indicate?

Calculate the critical volume ($V_c$) for one mole of a gas if its van der Waals constant 'b' is $0.0427,\text{L mol}^{-1}$.