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A still is charged with 1000 moles of a binary mixture that is 87.3 mole % of light (more volatile) Methanol and remainder heavier (less volatile) component isopropyl alcohol. This mixture is distilled until 50 moles remain in the still and the cumulative distillate is collected. You may assume that the relative volatility (Light-Heavy = 2.054) remains constant during the distillation process and equilibrium data and an initial analysis of the Rayleigh equation is provided in the table provided. methanol isopropyl alcohol Temp Pvp (mmHg) Pvp (mmHg) (°C) 764.2 360 3 500 Volatile Component X Y Integral 1/(y-x) Ax"Avg(1/(-x)) Summation

A still is charged with 1000 moles of a binary mixture that is 87.3 mole % of light (more volatile) Methanol and remainder heavier (less volatile) component isopropyl alcohol. This mixture is distilled until 50 moles remain in the still and the cumulative distillate is collected. You may assume that the relative volatility (Light-Heavy = 2.054) remains constant during the distillation process and equilibrium data and an initial analysis of the Rayleigh equation is provided in the table provided. methanol isopropyl alcohol Temp Pvp (mmHg) Pvp (mmHg) (°C) 764.2 360 3 500 Volatile Component X Y Integral 1/(y-x) Ax"Avg(1/(-x)) Summation

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Batch Distillation

A still is charged with 1000 moles of a binary mixture that is 87.3 mole% of light (more volatile) Methanol and remainder heavier (less volatile) component isopropyl alcohol. This mixture is distilled until 50 moles remain in the still and the cumulative distillate is collected. You may assume that the relative volatility (Light-Heavy = 2.054) remains constant during the distillation process and equilibrium data and an initial analysis of the Rayleigh equation is provided in the table provided. methanol 764.2 782.0 800.2 818.7 837.5 856.8 isopropyl alcohol Pvp (mmHg) Pvp (mmHg) (°C) 64.65 65.24 65.82 66.41 876.4 896.3 916.7 9374 958.5 980.0 1001.9 1024.2 1046 9 1070.1 1093.6 11176 11420 1166.9 1192 2 1217.9 1244.1 1270.8 1297.9 1325.6 1353.7 1382.2 1411.3 1440.9 1471.0 1471.0 360.3 370.0 379.8 389.9 400.2 410.7 421.4 432.4 443.6 455.1 466.8 478.8 491 0 503.5 516.3 529 3 542.6 556.2 570.0 584.2 598.6 613.4 628.4 643 S 559.4 675.4 691.7 Temp 708.4 725.3 742.6 760.3 760.3 67.00 67.58 68.17 68.76 69.34 69.93 70.52 71.10 71.69 72.28 72.86 73.45 74 04 74.62 75.21 75.80 76.38 76.97 77.56 78.14 78.73 79.32 79.90 $0.49 $1.08 81.66 82.25 32.25 Volatile Component Y 1.000 1.000 0.957 0.979 0.914 0.957 0.873 0.832 0.792 0.753 0.864 0.715 0.839 0.678 0.813 0.641 0.786 0.605 0.759 0.569 0.730 0 535 0.701 0.501 0.671 0467 0.640 0.434 0.608 0.402 0.575 0.542 0.507 0.472 0.435 0.398 0.220 0.359 0.192 0.319 0.164 0.279 0.137 0.237 0.109 0.194 0.083 0.150 0.057 0.105 0.031 0.058 0.006 0.011 0.000 0.000 0.370 0339 0 309 0 279 0.249 0.935 0.912 0.888 1/(y-x) Ax*Avg(1/(y-x)) 16.063 12.515 10.414 9.041 8.086 7.395 6.884 6.502 6.218 6.012 5.870 5.785 5.752 5.768 5.836 5.959 6.143 6.402 6.752 7.221 7.855 8.728 9.971 11.843 14.926 20.846 36.378 196.417 0.581 0.457 0.380 0.328 0.290 0.263 0.241 0.225 0.212 0.202 0.195 0.189 0.186 0.184 0.183 0.185 0.188 0.194 0 202 0215 0232 0.257 0.295 0.356 0.468 0.740 2.955 Integral Summation 0.581 1.037 1.417 1.745 2.035 2.298 2.539 2.764 2.977 3.179 3.374 3.563 3.749 3.932 4.116 4.300 4.488 4.682 4.884 5.099 5.331 5.588 5.883 6.240 6.708 7.448 10 403 Using the data provided a) What is the composition of the very first bubble vaporized in this process? Mole fraction of light component YA = 0.935 Molo fraction of light component vA -
Transcribed Image Text:A still is charged with 1000 moles of a binary mixture that is 87.3 mole% of light (more volatile) Methanol and remainder heavier (less volatile) component isopropyl alcohol. This mixture is distilled until 50 moles remain in the still and the cumulative distillate is collected. You may assume that the relative volatility (Light-Heavy = 2.054) remains constant during the distillation process and equilibrium data and an initial analysis of the Rayleigh equation is provided in the table provided. methanol 764.2 782.0 800.2 818.7 837.5 856.8 isopropyl alcohol Pvp (mmHg) Pvp (mmHg) (°C) 64.65 65.24 65.82 66.41 876.4 896.3 916.7 9374 958.5 980.0 1001.9 1024.2 1046 9 1070.1 1093.6 11176 11420 1166.9 1192 2 1217.9 1244.1 1270.8 1297.9 1325.6 1353.7 1382.2 1411.3 1440.9 1471.0 1471.0 360.3 370.0 379.8 389.9 400.2 410.7 421.4 432.4 443.6 455.1 466.8 478.8 491 0 503.5 516.3 529 3 542.6 556.2 570.0 584.2 598.6 613.4 628.4 643 S 559.4 675.4 691.7 Temp 708.4 725.3 742.6 760.3 760.3 67.00 67.58 68.17 68.76 69.34 69.93 70.52 71.10 71.69 72.28 72.86 73.45 74 04 74.62 75.21 75.80 76.38 76.97 77.56 78.14 78.73 79.32 79.90 $0.49 $1.08 81.66 82.25 32.25 Volatile Component Y 1.000 1.000 0.957 0.979 0.914 0.957 0.873 0.832 0.792 0.753 0.864 0.715 0.839 0.678 0.813 0.641 0.786 0.605 0.759 0.569 0.730 0 535 0.701 0.501 0.671 0467 0.640 0.434 0.608 0.402 0.575 0.542 0.507 0.472 0.435 0.398 0.220 0.359 0.192 0.319 0.164 0.279 0.137 0.237 0.109 0.194 0.083 0.150 0.057 0.105 0.031 0.058 0.006 0.011 0.000 0.000 0.370 0339 0 309 0 279 0.249 0.935 0.912 0.888 1/(y-x) Ax*Avg(1/(y-x)) 16.063 12.515 10.414 9.041 8.086 7.395 6.884 6.502 6.218 6.012 5.870 5.785 5.752 5.768 5.836 5.959 6.143 6.402 6.752 7.221 7.855 8.728 9.971 11.843 14.926 20.846 36.378 196.417 0.581 0.457 0.380 0.328 0.290 0.263 0.241 0.225 0.212 0.202 0.195 0.189 0.186 0.184 0.183 0.185 0.188 0.194 0 202 0215 0232 0.257 0.295 0.356 0.468 0.740 2.955 Integral Summation 0.581 1.037 1.417 1.745 2.035 2.298 2.539 2.764 2.977 3.179 3.374 3.563 3.749 3.932 4.116 4.300 4.488 4.682 4.884 5.099 5.331 5.588 5.883 6.240 6.708 7.448 10 403 Using the data provided a) What is the composition of the very first bubble vaporized in this process? Mole fraction of light component YA = 0.935 Molo fraction of light component vA -
Isopropyl alcohol Pvp (mmHg) Pvp (mmHg) methanol 782.0 800.2 818.7 837.5 876.4 980.0 1001.9 1046.9 1325 6 1440.9 421.4 443.6 466.8 491 0 5163 570.0 598 6 675 4 691.T 708.4 725 3 Temp 66.41 67.00 68.17 69.34 74 04 75.50 76.33 76.97 77.56 78.73 79.32 79.90 30.49 31.66 Volatile Component X 0.914 0.832 0,715 0.541 0.605 0.569 0 535 0.402 0339 0.309 0.279 0.192 0.164 0.467 0.640 0.608 0.109 0.083 0.057 V 0.006 0.000 0.979 0.364 0.786 0.507 0.472 0.435 1/[y-x) Ax*Avg(1/([y-x)) 16.063 12 515 8.086 6.012 5.785 5.836 6.143 7.855 8.728 9.971 11.843 14.926 36.578 196 417 0.380 0.290 0 189 0.186 0.184 0.185 0 188 0215 0 356 0163 Integral Summation 0 581 2.298 4 116 4.300 4.884 4.883 6.240 6.708 Using the data provided a) What is the composition of the very first bubble vaporized in this process? Mole fraction of light component YA = 0.935 b) What is the composition of the last bubble vaporized in the process? Mole fraction of light component YA = c) What is the composition of the residue remaining in the still, Mole fraction of light component XA = d) What is the average mole fraction of the distillate? Yavg=
Transcribed Image Text:Isopropyl alcohol Pvp (mmHg) Pvp (mmHg) methanol 782.0 800.2 818.7 837.5 876.4 980.0 1001.9 1046.9 1325 6 1440.9 421.4 443.6 466.8 491 0 5163 570.0 598 6 675 4 691.T 708.4 725 3 Temp 66.41 67.00 68.17 69.34 74 04 75.50 76.33 76.97 77.56 78.73 79.32 79.90 30.49 31.66 Volatile Component X 0.914 0.832 0,715 0.541 0.605 0.569 0 535 0.402 0339 0.309 0.279 0.192 0.164 0.467 0.640 0.608 0.109 0.083 0.057 V 0.006 0.000 0.979 0.364 0.786 0.507 0.472 0.435 1/[y-x) Ax*Avg(1/([y-x)) 16.063 12 515 8.086 6.012 5.785 5.836 6.143 7.855 8.728 9.971 11.843 14.926 36.578 196 417 0.380 0.290 0 189 0.186 0.184 0.185 0 188 0215 0 356 0163 Integral Summation 0 581 2.298 4 116 4.300 4.884 4.883 6.240 6.708 Using the data provided a) What is the composition of the very first bubble vaporized in this process? Mole fraction of light component YA = 0.935 b) What is the composition of the last bubble vaporized in the process? Mole fraction of light component YA = c) What is the composition of the residue remaining in the still, Mole fraction of light component XA = d) What is the average mole fraction of the distillate? Yavg=
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