A young engineer has the bright idea of trying to separate methanol and water by centrifugation as shown in Figure P2.24. The target system is an antifreeze consisting of 30 mol % methanol. The...

A young engineer has the bright idea of trying to separate methanol and water by centrifugation as shown in Figure P2.24. The target system is an antifreeze consisting of 30 mol % methanol. The partial molar volumes and pure component molar volumes at 25°C are:

Assuming a centrifuge like that in Figure P2.24 operates at 20,000 rpm and a temperature of 25°C, what would be the concentration of m at r = 0.2 m? What is the maximum separation ratio there; xmL/xwL? Assume the pressure gradient, P r / 4 r 2 2 ∂ ∂ = π ω ρ , where ω is the revolution frequency and ρ is the fluid density.