ANS:B - 1/μ

According to Poiseuille's law, the permeability for gas flow through a capillary is proportional to 1𝜇μ1​, where 𝜇μ represents the gas viscosity. Explanation:

• Poiseuille's law describes the flow of a fluid through a cylindrical pipe or capillary.
• It states that the rate of flow (𝑄Q) of a fluid through a cylindrical tube is directly proportional to the pressure difference (Δ𝑃ΔP) between the two ends of the tube and the fourth power of the radius (𝑟r) of the tube, and inversely proportional to the viscosity (𝜇μ) of the fluid and the length (𝐿L) of the tube.
• Mathematically, Poiseuille's law can be expressed as: 𝑄=𝜋𝑟4(Δ𝑃)8𝜇𝐿Q=8μLπr4(ΔP)​
• From this equation, we can see that the permeability (which is related to the rate of flow) is inversely proportional to the viscosity of the fluid (𝜇μ).
• Therefore, according to Poiseuille's law, the permeability for gas flow through a capillary is proportional to 1𝜇μ1​.