1.1: Performance Metrics for Separation Processes
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\(n_{i,k}^{(F)}\) = mass or molar flow rate of species \(i\) entering separator \(k\) in feed stream (mass time-1 or mol time-1)
\(n_{i,k}^{(1)}\) = mass or molar flow rate of species \(i\) leaving separator \(k\) in first product stream (mass time-1 or mol time-1)
\(n_{i,k}^{(2)}\) = mass or molar flow rate of species \(i\) leaving separator \(k\) in second product stream (mass time-1 or mol time-1)
\({\rm SF}_{i,k}\) = split fraction for species \(i\) in separator \(k\) (dimensionless)
\({\rm SR}_{i,k}\) = split ratio for species \(i\) in separator \(k\) (dimensionless)
\[ \tag{1.1} {\rm SF}_{i,k} = n_{i,k}^{(1)} / n_{i,k}^{(F)}\]
\[ \tag{1.2} {\rm SR}_{i,k} = n_{i,k}^{(1)}/n_{i,k}^{(2)} = {\rm SF}_{i,k} / (1-{\rm SF}_{i,k})\]
For the process below, compute the split fraction and the split ratio for \(i C_5 H_{12}\). Designate the overhead stream as product stream 1.