For the first trial of Example 6-1, determine the component matrix for n-pentane and then use the Thomas algorithm to find the n-pentane liquid flow rates leaving each stage. Compare your n-pentane flow rates with the values given in Example 6-1.

Example 6-1

A distillation column with a partial reboiler and a total condenser is separating nC₄, nC₅, and nC₈. The column has two equilibrium stages (a total of three equilibrium contacts), and the feed is a saturated liquid fed into the bottom stage of the column. The column operates at 2.0 atm. The feed rate is 1000.0 kmol/h. z_C4 = 0.20, z_C5 = 0.35, z_C8 = 0.45 (mole fractions). The reflux is a saturated liquid, and L/D = 1.5. The distillate rate is D = 550 kmol/h. Assume CMO. Use the DePriester charts or Eq. (2-28) for K values. For the first guess, assume that the temperatures on all stages and in the reboiler are equal to the feed bubble-point temperature. Use a matrix to solve the mass balances. Use bubble-point calculations for one iteration toward a solution for stage compositions and to predict new temperatures that could be used for a second iteration. Report the compositions on each stage and in the reboiler and the temperature of each stage and the reboiler.

Equation 2-28

Transcribed Image Text:

In K = a/T + a2/T + 16 + a1 In p + a/p + ap p2' ap3/p