A fluid is placed in a rigid container and spun as indicated in the figure below....

 

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A fluid is placed in a rigid container and spun as indicated in the figure below. The angular frequency of the rotation is o (rad/s). The fluid fills the container and has no energy exchange with the surroundings. Gravity effect is negligible in this case. r R Fluid (a) If the fluid contains more than one component, what conditions must the intensive thermodynamic properties satisfy in order for equilibrium to exist? (b) The fluid is a dilute liquid solution of two components (One is dissolved in the other). Assume that the properties of the solute are independent of pressure. The total mole concentration n = n₁ + n₂ = constant (inde- pendent of r). Find the mole concentration of the solute as a function of the radial distance, i.e., n₂ = n₂(r). A fluid is placed in a rigid container and spun as indicated in the figure below. The angular frequency of the rotation is o (rad/s). The fluid fills the container and has no energy exchange with the surroundings. Gravity effect is negligible in this case. r R Fluid (a) If the fluid contains more than one component, what conditions must the intensive thermodynamic properties satisfy in order for equilibrium to exist? (b) The fluid is a dilute liquid solution of two components (One is dissolved in the other). Assume that the properties of the solute are independent of pressure. The total mole concentration n = n₁ + n₂ = constant (inde- pendent of r). Find the mole concentration of the solute as a function of the radial distance, i.e., n₂ = n₂(r).

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