Chemistry - Real Gas Question with Solution | TestHub

Question Explanation: Matching gas parameters with their dependencies and characteristics.

Concept: Van der Waals Gas Constants and Parameters.

Solution: Various gas properties depend on the nature of the gas (constants a and b ) and external conditions. The constant b is directly related to the volume of molecules (radius), while ${\mathrm{T}}_{\mathrm{c}}$ and ${\mathrm{T}}_{\mathrm{b}}$ are defined by a and b .

(P) Free volume: $(V-nb)$ depends on the nature/size of molecules (1, 4) and pressure (3).

(Q) Critical temperature: $T_{\mathrm{c}}=\frac{8a}{27Rb}$. Depends on nature (1, 2) and molecular radius (4).

(R) Boyle's temperature: $T_{\mathrm{b}}=\frac{a}{Rb}$. Constant for a particular gas (1, 2) and depends on radius (4).

(S) Compressibility factor (high P): $Z=1+\frac{Pb}{RT}$. Depends on nature (1), pressure (3), and radius (4).

Final Answer: Option (A)