List of top Fluid Mechanics and Mechanical Operations Questions on Transport properties asked in GATE CH

Sulfur dioxide (SO₂) gas diffuses through a stagnant air-film of thickness 2 mm at 1 bar and 30 °C. The diffusion coefficient of SO₂ in air is 1 × 10⁻⁵ m² s⁻¹. The SO₂ partial pressures at the opposite sides of the film are 0.15 bar and 0.05 bar. The universal gas constant is 8.314 J mol⁻¹ K⁻¹. Assuming ideal gas behavior, the steady-state flux of SO₂ in mol m⁻² s⁻¹ through the air-film is

The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter \(0.5\ \text{mm}\) and length \(1.5\ \text{m}\). The fluid flow is laminar, steady and fully developed. For a flow rate of \(1\ \text{cm}^3\text{s}^{-1}\), the pressure drop across the length of the tube is \(1\ \text{MPa}\). If the viscosity of the fluid is \(k \times 10^{-3}\ \text{Pa}\cdot\text{s}\), the value of \(k\) is ____________________ (rounded off to two decimal places).