a. Solve problem 13.D11 with a form of the Kremser equation. Data From 13.D11 A fractional extraction

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a. Solve problem 13.D11 with a form of the Kremser equation.

Data From 13.D11

A fractional extraction system (Figure 13-5) is separating abietic acid from other acids. Solvent 1 , heptane, enters at \(\mathrm{E}-=1000 \mathrm{~kg} / \mathrm{h}\) and is pure. Solvent 2, methylcellosolve \(+10 \%\) water, is pure and has a flow rate of \(\mathrm{R}=2500 \mathrm{~kg} / \mathrm{h}\). Feed is \(5 \mathrm{wt} \%\) abietic acid in solvent 2 and flows at \(1 \mathrm{~kg} / \mathrm{h}\). There are only traces of other acids in the feed. We desire to recover \(95 \%\) of the abietic acid in the bottom raffinate stream. Feed is on stage 6. Assume solvents are completely immiscible, and system can be considered to be very dilute. Equilibrium data are given in Table 13-3. Find \(\mathrm{N}\) using a McCabe-Thiele diagram.

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Table 13-3

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b. Solve problem 13. D11 with a form of the Kremser equation for NF \(=4,5\), and 7 .

Data From Problem 13.D11

A fractional extraction system (Figure 13-5) is separating abietic acid from other acids. Solvent 1 , heptane, enters at \(\mathrm{E}-=1000 \mathrm{~kg} / \mathrm{h}\) and is pure. Solvent 2, methylcellosolve \(+10 \%\) water, is pure and has a flow rate of \(\mathrm{R}=2500 \mathrm{~kg} / \mathrm{h}\). Feed is \(5 \mathrm{wt} \%\) abietic acid in solvent 2 and flows at \(1 \mathrm{~kg} / \mathrm{h}\). There are only traces of other acids in the feed. We desire to recover \(95 \%\) of the abietic acid in the bottom raffinate stream. Feed is on stage 6. Assume solvents are completely immiscible, and system can be considered to be very dilute. Equilibrium data are given in Table 13-3. Find \(\mathrm{N}\) using a McCabe-Thiele diagram.

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Table 13-3

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There may be no solution for some of the proposed feed stages.

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