Final answer:
The recovery for a single spiral wound element with a 60 m² membrane area, a feed flow of 10 m³/h, and a permeate flux of 40 L/m²-h is 24%.
Step-by-step explanation:
The student's question involves calculating the recovery of a membrane system in an engineering context, specifically in a water treatment or desalination process using a spiral wound element. The recovery rate can be determined using the equation Recovery = (Permeate Flow / Feed Flow) × 100. Given that the permeate flux is 40 L/m²-h and the membrane area is 60 m², the permeate flow is 40 L/m²-h × 60 m² = 2400 L/h or 2.4 m³/h. With a feed flow of 10 m³/h, the recovery for the single module is therefore (2.4 m³/h / 10 m³/h) × 100 = 24%.
This question falls under the engineering subject and is typically addressed at the college level, as it requires a comprehension of principles typically taught in environmental or chemical engineering courses.