Question

In: Chemistry

A microfiltration membrane operating with pure feed of water produces a flux of 0.06 k g ⋅ s − 1 ⋅ m − 2 0.06 kg⋅s−1⋅m−2 when operated with a TMP of 30 k P a 30kPa.

A microfiltration membrane operating with pure feed of water produces a flux of 0.06 kgs1m2">0.06 kg⋅s−1⋅m−2 when operated with a TMP of 30kPa">30kPa. 1. What is the resistance due to the membrane? Specify the units. 2. If operated with a protein-water mixture at a 20kPa">20kPa pressure difference, a flux of 216×">216× 106 kgs1m2">10−6 kg⋅s−1⋅m−2 is measured at steady state. What is the resistance due to cake build-up? Specify the units.

Solutions

Expert Solution

Solution : The general equation is:

                                       

1. When pure water is being filtered, the resistance due to cake build up is zero, so solve the equation for Rm">Rm′. Using/assuming water viscosity to be μ=1×103">μ=1×10−3 Pa.s, then Rm=5×108 m2.kg1">Rm′=5×108 m2Rm'=5×108 m2.kg-1

2. This membrane resistance remains the same when filtering the protein, so solving the general equation gives  Rc'=9.2×1010m2.kg-1

 

 


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