{ "version": 1, "topic": "TH07", "title": "Characterizing a C7 plus fraction for a flash model", "createdAt": "2026-10-24", "case": { "title": "C7+ Characterization and PR Flash Calculator", "premise": "Fixed controls: Equilibrium absolute pressure = 2 MPa(a); Equilibrium absolute temperature = 350 K; C7+ specific gravity (60/60 F) = 0.85 dimensionless; Methane feed mole fraction = 0.45 dimensionless; Ethane feed mole fraction = 0.15 dimensionless; Propane feed mole fraction = 0.15 dimensionless; n-Butane feed mole fraction = 0.1 dimensionless; n-Pentane feed mole fraction = 0.05 dimensionless; n-Hexane feed mole fraction = 0.03 dimensionless; C7+ feed mole fraction = 0.07 dimensionless.", "formula": "MW-SG variant: Tb=97.58*M^0.3323*SG^0.04609 K. Tc=(5/9)*554.4*exp(-1.3478e-4*M-0.61641*SG)*M^0.2998*SG^1.0555 K. M is g/mol, SG dimensionless; no Pedersen fallback.; Pc(bar)=0.068947*45203*exp(-0.0018078*M-0.3084*SG)*M^-0.8063*SG^1.6015. Retain NeqSim's rounded conversion coefficient for reference reproducibility, then convert bar to Pa exactly.; Edmister omega=(3/7)*log10(Pc(Pa)/101325)/(Tc/Tb-1)-1. This is NeqSim calcAcentricFactor2, not its Kesler-Lee default. Watson Kw=(1.8*Tb(K))^(1/3)/SG uses Rankine.; PR: p=R*T/(v-b)-a(T)/(v*v+2*b*v-b*b). v is molar volume. For each phase c=x or y, a=sum_i sum_j ci*cj*sqrt(ai*aj)*(1-kij), b=sum_i ci*bi. All kij=0; standard PR alpha(T) and pinned CoolProp cubic component constants are used, without volume translation.; At common T and p, xi*phiL_i=yi*phiV_i. zi=(1-beta)*xi+beta*yi; Ki=yi/xi and sum[zi*(Ki-1)/(1+beta*(Ki-1))]=0. CoolProp performs stability analysis and phase-split iteration; Wilson K-factors are initial guesses, not the final equilibrium solution.", "variables": "C7+ measured molar-average molecular weight is varied within the supported input range. One light-to-medium C7+ lump only: M=100-300 g/mol and SG=0.65-0.90. This is a deliberately restricted correlation use, not a universal heavy-oil/asphaltene characterization. Reject Tb>=Tc or omega outside 0-1. No fallback to Pedersen, multicut/gamma splitting, carbon-number distribution, volume translation, sulfur/aromatic calibration or measured-PVT matching.", "steps": [ { "label": "Define the baseline", "calculation": "C7+ measured molar-average molecular weight (g/mol) = 200", "explanation": "Fixed controls: Equilibrium absolute pressure = 2 MPa(a); Equilibrium absolute temperature = 350 K; C7+ specific gravity (60/60 F) = 0.85 dimensionless; Methane feed mole fraction = 0.45 dimensionless; Ethane feed mole fraction = 0.15 dimensionless; Propane feed mole fraction = 0.15 dimensionless; n-Butane feed mole fraction = 0.1 dimensionless; n-Pentane feed mole fraction = 0.05 dimensionless; n-Hexane feed mole fraction = 0.03 dimensionless; C7+ feed mole fraction = 0.07 dimensionless." }, { "label": "Select the relation", "calculation": "MW-SG variant: Tb=97.58*M^0.3323*SG^0.04609 K. Tc=(5/9)*554.4*exp(-1.3478e-4*M-0.61641*SG)*M^0.2998*SG^1.0555 K. M is g/mol, SG dimensionless; no Pedersen fallback.; Pc(bar)=0.068947*45203*exp(-0.0018078*M-0.3084*SG)*M^-0.8063*SG^1.6015. Retain NeqSim's rounded conversion coefficient for reference reproducibility, then convert bar to Pa exactly.; Edmister omega=(3/7)*log10(Pc(Pa)/101325)/(Tc/Tb-1)-1. This is NeqSim calcAcentricFactor2, not its Kesler-Lee default. Watson Kw=(1.8*Tb(K))^(1/3)/SG uses Rankine.; PR: p=R*T/(v-b)-a(T)/(v*v+2*b*v-b*b). v is molar volume. For each phase c=x or y, a=sum_i sum_j ci*cj*sqrt(ai*aj)*(1-kij), b=sum_i ci*bi. All kij=0; standard PR alpha(T) and pinned CoolProp cubic component constants are used, without volume translation.; At common T and p, xi*phiL_i=yi*phiV_i. zi=(1-beta)*xi+beta*yi; Ki=yi/xi and sum[zi*(Ki-1)/(1+beta*(Ki-1))]=0. CoolProp performs stability analysis and phase-split iteration; Wilson K-factors are initial guesses, not the final equilibrium solution.", "explanation": "C7+ measured molar-average molecular weight is varied within the supported input range. One light-to-medium C7+ lump only: M=100-300 g/mol and SG=0.65-0.90. This is a deliberately restricted correlation use, not a universal heavy-oil/asphaltene characterization. Reject Tb>=Tc or omega outside 0-1. No fallback to Pedersen, multicut/gamma splitting, carbon-number distribution, volume translation, sulfur/aromatic calibration or measured-PVT matching." }, { "label": "Substitute the values", "calculation": "M = 200 g/mol; with the fixed controls above, the workflow evaluates C7+ estimated normal boiling point = 563.300322 K; C7+ estimated critical temperature = 732.228116 K", "explanation": "Retain intermediate precision. The displayed values are rounded only after evaluation." }, { "label": "Read the result", "calculation": "C7+ estimated normal boiling point (K) = 563.300322; C7+ estimated critical temperature (K) = 732.228116", "explanation": "PT screening at 180-450 K and 0.1-10 MPa absolute, kij=0 for every pair including the heavy lump. The usual composition, fugacity, pressure, volume and near-critical/vanishing-phase gates remain enforced. No water, sour components, multiple liquids, wax, hydrate or solid stability. Supply petroleum specific gravity at 60/60 F, not density or operating-temperature specific gravity; no density-basis conversion is performed. No ideal-gas heat capacity or enthalpy model is invented for C7+. This tool is not permitted in the C1-C6 energy flashes. Critical properties alone cannot establish a heavy-end caloric model. Native registrations are reused by exact M/SG input and capped at 128 distinct characterizations per loaded engine; reload before exceeding that bound. No composition is uploaded." } ], "result": "C7+ estimated normal boiling point (K) = 563.300322; C7+ estimated critical temperature (K) = 732.228116", "interpretation": "PT screening at 180-450 K and 0.1-10 MPa absolute, kij=0 for every pair including the heavy lump. The usual composition, fugacity, pressure, volume and near-critical/vanishing-phase gates remain enforced. No water, sour components, multiple liquids, wax, hydrate or solid stability. Supply petroleum specific gravity at 60/60 F, not density or operating-temperature specific gravity; no density-basis conversion is performed. No ideal-gas heat capacity or enthalpy model is invented for C7+. This tool is not permitted in the C1-C6 energy flashes. Critical properties alone cannot establish a heavy-end caloric model. Native registrations are reused by exact M/SG input and capped at 128 distinct characterizations per loaded engine; reload before exceeding that bound. No composition is uploaded.", "control": "C7+ measured molar-average molecular weight (g/mol)", "columns": [ "C7+ measured molar-average molecular weight (g/mol)", "C7+ estimated normal boiling point (K)", "C7+ estimated critical temperature (K)" ], "rows": [ [ 160, 523.0422871299592, 688.5478830718677 ], [ 180, 543.9196960900888, 711.3756401398105 ], [ 200, 563.3003221684768, 732.2281160632888 ], [ 220, 581.4264557293797, 751.424314303716 ], [ 240, 598.4831501613542, 769.2076061887155 ] ], "baseline": 2, "rowNotes": [ "C7+ measured molar-average molecular weight (g/mol) = 160. C7+ estimated normal boiling point (K): 523.042287; C7+ estimated critical temperature (K): 688.547883.", "C7+ measured molar-average molecular weight (g/mol) = 180. C7+ estimated normal boiling point (K): 543.919696; C7+ estimated critical temperature (K): 711.37564.", "C7+ measured molar-average molecular weight (g/mol) = 200. C7+ estimated normal boiling point (K): 563.300322; C7+ estimated critical temperature (K): 732.228116.", "C7+ measured molar-average molecular weight (g/mol) = 220. C7+ estimated normal boiling point (K): 581.426456; C7+ estimated critical temperature (K): 751.424314.", "C7+ measured molar-average molecular weight (g/mol) = 240. C7+ estimated normal boiling point (K): 598.48315; C7+ estimated critical temperature (K): 769.207606." ], "provenance": "Original recorded synthetic cases solved with the site's c7-plus-characterization-flash engine. The full inputs, outputs and diagnostic rows are in the downloadable JSON. These are discrete solved states; the lesson does not interpolate a new solve.", "questions": [ { "question": "Reproduce the baseline C7+ estimated normal boiling point (K) without rounding intermediate values.", "answer": "M = 200 g/mol; with the fixed controls above, the workflow evaluates C7+ estimated normal boiling point = 563.300322 K; C7+ estimated critical temperature = 732.228116 K. C7+ estimated normal boiling point (K) = 563.300322. PT screening at 180-450 K and 0.1-10 MPa absolute, kij=0 for every pair including the heavy lump. The usual composition, fugacity, pressure, volume and near-critical/vanishing-phase gates remain enforced. No water, sour components, multiple liquids, wax, hydrate or solid stability. Supply petroleum specific gravity at 60/60 F, not density or operating-temperature specific gravity; no density-basis conversion is performed. No ideal-gas heat capacity or enthalpy model is invented for C7+. This tool is not permitted in the C1-C6 energy flashes. Critical properties alone cannot establish a heavy-end caloric model. Native registrations are reused by exact M/SG input and capped at 128 distinct characterizations per loaded engine; reload before exceeding that bound. No composition is uploaded." }, { "question": "Compare the first and last recorded scenarios. Which input changes?", "answer": "C7+ measured molar-average molecular weight (g/mol) changes from 160 to 240. Other controls remain as stated in the premise. C7+ estimated normal boiling point (K) changes from 523.042287 to 598.48315." }, { "question": "What would be needed to apply this example to a different physical system?", "answer": "Replace the synthetic controls with compatible documented inputs and check the relation's assumptions. C7+ measured molar-average molecular weight is varied within the supported input range. One light-to-medium C7+ lump only: M=100-300 g/mol and SG=0.65-0.90. This is a deliberately restricted correlation use, not a universal heavy-oil/asphaltene characterization. Reject Tb>=Tc or omega outside 0-1. No fallback to Pedersen, multicut/gamma splitting, carbon-number distribution, volume translation, sulfur/aromatic calibration or measured-PVT matching. PT screening at 180-450 K and 0.1-10 MPa absolute, kij=0 for every pair including the heavy lump. The usual composition, fugacity, pressure, volume and near-critical/vanishing-phase gates remain enforced. No water, sour components, multiple liquids, wax, hydrate or solid stability. Supply petroleum specific gravity at 60/60 F, not density or operating-temperature specific gravity; no density-basis conversion is performed. No ideal-gas heat capacity or enthalpy model is invented for C7+. This tool is not permitted in the C1-C6 energy flashes. Critical properties alone cannot establish a heavy-end caloric model. Native registrations are reused by exact M/SG input and capped at 128 distinct characterizations per loaded engine; reload before exceeding that bound. No composition is uploaded." } ] }, "recorded": { "kind": "workflow", "workflow": "c7-plus-characterization-flash", "parameter": "M", "runs": [ { "inputs": { "p": 2, "T": 350, "M": 160, "SG": 0.85, "z1": 0.45, "z2": 0.15, "z3": 0.15, "z4": 0.1, "z5": 0.05, "z6": 0.03, "z7": 0.07 }, "result": { "warnings": [ "Riazi-Daubert MW-SG estimates plus the Edmister acentric approximation characterize one lump, not its carbon-number distribution. Normal hexane remains separate from C7+; no heavy ideal-gas heat capacity has been assumed.", "C1-C6 plus one estimated C7+ pseudocomponent, kij=0. Single-lump PT screening only: no calibrated heavy-end distribution or C7+ caloric model.", "Two-phase equilibrium: beta is vapor moles per feed mole, not vapor mass fraction or in-situ gas holdup. Component allocations in the table are moles per feed mole." ], "outputs": [ { "label": "C7+ estimated normal boiling point", "value": 523.0422871299592, "unit": "K" }, { "label": "C7+ estimated critical temperature", "value": 688.5478830718677, "unit": "K" }, { "label": "C7+ estimated critical pressure", "value": 2.3120665708419463, "unit": "MPa(a)" }, { "label": "C7+ estimated Edmister acentric factor", "value": 0.8396611231948112, "unit": "dimensionless" }, { "label": "C7+ Watson characterization factor", "value": 11.530571772586654, "unit": "dimensionless" }, { "label": "Equilibrium phase count", "value": 2, "unit": "dimensionless" }, { "label": "Equilibrium bulk density", "value": 36.964136527025325, "unit": "kg/m3" }, { "label": "Feed molar mass", "value": 41.548878800000004, "unit": "g/mol" }, { "label": "Vapor mole fraction (beta)", "value": 0.8336562253828973, "unit": "dimensionless" }, { "label": "Vapor mass fraction", "value": 0.5925121671650929, "unit": "dimensionless" }, { "label": "Liquid density", "value": 686.7787752093142, "unit": "kg/m3" }, { "label": "Vapor density", "value": 22.39282009484823, "unit": "kg/m3" }, { "label": "Maximum component balance error", "value": 5.929230630780102e-17, "unit": "dimensionless" }, { "label": "Maximum log-fugacity mismatch", "value": 5.45154948961013e-10, "unit": "dimensionless" }, { "label": "Maximum relative EOS pressure residual", "value": 1.7024603948812e-11, "unit": "dimensionless" } ], "rowLabels": [ "Methane", "Ethane", "Propane", "n-Butane", "n-Pentane", "n-Hexane", "C7+ pseudocomponent" ], "columns": [ "Feed z (mol/mol)", "Liquid x (mol/mol)", "Vapor y (mol/mol)", "Liquid allocation (mol/mol feed)", "Vapor allocation (mol/mol feed)" ], "rows": [ [ 0.45, 0.03676356622909176, 0.5324552208809948, 0.0061153903749329675, 0.443884609625067 ], [ 0.15, 0.04418674790952627, 0.17111347006274213, 0.007350190435324973, 0.14264980956467502 ], [ 0.15, 0.10421569092127424, 0.15913558198032207, 0.01733563140217408, 0.1326643685978259 ], [ 0.1, 0.14835734253641944, 0.09035100723410824, 0.02467832034967046, 0.07532167965032953 ], [ 0.05, 0.13094518908978922, 0.03384858424813377, 0.021781917021145795, 0.028218082978854194 ], [ 0.03, 0.11497736527147058, 0.013044023104631253, 0.019125768934785795, 0.010874231065214192 ], [ 0.07, 0.4205540980424285, 0.000052112489067495735, 0.06995655609906863, 0.000043443900931316 ] ], "chart": { "xLabel": "Component", "yLabel": "Mole fraction", "xTicks": { "values": [ 1, 2, 3, 4, 5, 6, 7 ], "text": [ "C1", "C2", "C3", "nC4", "nC5", "nC6", "C7+" ] }, "series": [ { "name": "Feed", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.45, 0.15, 0.15, 0.1, 0.05, 0.03, 0.07 ], "mode": "lines+markers" }, { "name": "Liquid", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.03676356622909176, 0.04418674790952627, 0.10421569092127424, 0.14835734253641944, 0.13094518908978922, 0.11497736527147058, 0.4205540980424285 ], "mode": "lines+markers" }, { "name": "Vapor", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.5324552208809948, 0.17111347006274213, 0.15913558198032207, 0.09035100723410824, 0.03384858424813377, 0.013044023104631253, 0.000052112489067495735 ], "mode": "lines+markers", "line": { "dash": "dash" } } ] } } }, { "inputs": { "p": 2, "T": 350, "M": 180, "SG": 0.85, "z1": 0.45, "z2": 0.15, "z3": 0.15, "z4": 0.1, "z5": 0.05, "z6": 0.03, "z7": 0.07 }, "result": { "warnings": [ "Riazi-Daubert MW-SG estimates plus the Edmister acentric approximation characterize one lump, not its carbon-number distribution. Normal hexane remains separate from C7+; no heavy ideal-gas heat capacity has been assumed.", "C1-C6 plus one estimated C7+ pseudocomponent, kij=0. Single-lump PT screening only: no calibrated heavy-end distribution or C7+ caloric model.", "Two-phase equilibrium: beta is vapor moles per feed mole, not vapor mass fraction or in-situ gas holdup. Component allocations in the table are moles per feed mole." ], "outputs": [ { "label": "C7+ estimated normal boiling point", "value": 543.9196960900888, "unit": "K" }, { "label": "C7+ estimated critical temperature", "value": 711.3756401398105, "unit": "K" }, { "label": "C7+ estimated critical pressure", "value": 2.0279334758642227, "unit": "MPa(a)" }, { "label": "C7+ estimated Edmister acentric factor", "value": 0.8115371339733228, "unit": "dimensionless" }, { "label": "C7+ Watson characterization factor", "value": 11.681990206668269, "unit": "dimensionless" }, { "label": "Equilibrium phase count", "value": 2, "unit": "dimensionless" }, { "label": "Equilibrium bulk density", "value": 38.29779154659878, "unit": "kg/m3" }, { "label": "Feed molar mass", "value": 42.9488788, "unit": "g/mol" }, { "label": "Vapor mole fraction (beta)", "value": 0.8284306964325573, "unit": "dimensionless" }, { "label": "Vapor mass fraction", "value": 0.5669099393591926, "unit": "dimensionless" }, { "label": "Liquid density", "value": 668.7110293125216, "unit": "kg/m3" }, { "label": "Vapor density", "value": 22.263614882516872, "unit": "kg/m3" }, { "label": "Maximum component balance error", "value": 4.875521644395753e-18, "unit": "dimensionless" }, { "label": "Maximum log-fugacity mismatch", "value": 5.733616637026984e-10, "unit": "dimensionless" }, { "label": "Maximum relative EOS pressure residual", "value": 1.6108225864286396e-11, "unit": "dimensionless" } ], "rowLabels": [ "Methane", "Ethane", "Propane", "n-Butane", "n-Pentane", "n-Hexane", "C7+ pseudocomponent" ], "columns": [ "Feed z (mol/mol)", "Liquid x (mol/mol)", "Vapor y (mol/mol)", "Liquid allocation (mol/mol feed)", "Vapor allocation (mol/mol feed)" ], "rows": [ [ 0.45, 0.03958666508794634, 0.5349972488330955, 0.006791856559696551, 0.44320814344030346 ], [ 0.15, 0.04631049898576487, 0.17147425916600645, 0.007945460058848441, 0.14205453994115155 ], [ 0.15, 0.10803254868549143, 0.15869152534489284, 0.018535069140585614, 0.13146493085941438 ], [ 0.1, 0.1516799252749966, 0.08929700598247872, 0.02602361914459292, 0.07397638085540709 ], [ 0.05, 0.13209521300601157, 0.03299795193210959, 0.022663483700034407, 0.027336516299965596 ], [ 0.03, 0.11442293561630561, 0.012515876908977161, 0.019631463375831888, 0.010368536624168112 ], [ 0.07, 0.4078722133434837, 0.000026131832439722518, 0.06997835158785291, 0.00002164841214709822 ] ], "chart": { "xLabel": "Component", "yLabel": "Mole fraction", "xTicks": { "values": [ 1, 2, 3, 4, 5, 6, 7 ], "text": [ "C1", "C2", "C3", "nC4", "nC5", "nC6", "C7+" ] }, "series": [ { "name": "Feed", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.45, 0.15, 0.15, 0.1, 0.05, 0.03, 0.07 ], "mode": "lines+markers" }, { "name": "Liquid", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.03958666508794634, 0.04631049898576487, 0.10803254868549143, 0.1516799252749966, 0.13209521300601157, 0.11442293561630561, 0.4078722133434837 ], "mode": "lines+markers" }, { "name": "Vapor", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.5349972488330955, 0.17147425916600645, 0.15869152534489284, 0.08929700598247872, 0.03299795193210959, 0.012515876908977161, 0.000026131832439722518 ], "mode": "lines+markers", "line": { "dash": "dash" } } ] } } }, { "inputs": { "p": 2, "T": 350, "M": 200, "SG": 0.85, "z1": 0.45, "z2": 0.15, "z3": 0.15, "z4": 0.1, "z5": 0.05, "z6": 0.03, "z7": 0.07 }, "result": { "warnings": [ "Riazi-Daubert MW-SG estimates plus the Edmister acentric approximation characterize one lump, not its carbon-number distribution. Normal hexane remains separate from C7+; no heavy ideal-gas heat capacity has been assumed.", "C1-C6 plus one estimated C7+ pseudocomponent, kij=0. Single-lump PT screening only: no calibrated heavy-end distribution or C7+ caloric model.", "Two-phase equilibrium: beta is vapor moles per feed mole, not vapor mass fraction or in-situ gas holdup. Component allocations in the table are moles per feed mole." ], "outputs": [ { "label": "C7+ estimated normal boiling point", "value": 563.3003221684768, "unit": "K" }, { "label": "C7+ estimated critical temperature", "value": 732.2281160632888, "unit": "K" }, { "label": "C7+ estimated critical pressure", "value": 1.7966235513790718, "unit": "MPa(a)" }, { "label": "C7+ estimated Edmister acentric factor", "value": 0.7845728966310888, "unit": "dimensionless" }, { "label": "C7+ Watson characterization factor", "value": 11.819122733609442, "unit": "dimensionless" }, { "label": "Equilibrium phase count", "value": 2, "unit": "dimensionless" }, { "label": "Equilibrium bulk density", "value": 39.60779060443761, "unit": "kg/m3" }, { "label": "Feed molar mass", "value": 44.34887880000001, "unit": "g/mol" }, { "label": "Vapor mole fraction (beta)", "value": 0.8239391044661624, "unit": "dimensionless" }, { "label": "Vapor mass fraction", "value": 0.5440129343070325, "unit": "dimensionless" }, { "label": "Liquid density", "value": 649.8160063686514, "unit": "kg/m3" }, { "label": "Vapor density", "value": 22.163140930833602, "unit": "kg/m3" }, { "label": "Maximum component balance error", "value": 5.551115123125783e-17, "unit": "dimensionless" }, { "label": "Maximum log-fugacity mismatch", "value": 2.1044410658532797e-10, "unit": "dimensionless" }, { "label": "Maximum relative EOS pressure residual", "value": 1.5325740676530586e-11, "unit": "dimensionless" } ], "rowLabels": [ "Methane", "Ethane", "Propane", "n-Butane", "n-Pentane", "n-Hexane", "C7+ pseudocomponent" ], "columns": [ "Feed z (mol/mol)", "Liquid x (mol/mol)", "Vapor y (mol/mol)", "Liquid allocation (mol/mol feed)", "Vapor allocation (mol/mol feed)" ], "rows": [ [ 0.45, 0.042512707121442284, 0.5370726699509434, 0.007484825287368885, 0.4425151747126311 ], [ 0.15, 0.0483332794662772, 0.171724340750586, 0.008509600466920009, 0.14149039953307996 ], [ 0.15, 0.11134719286687912, 0.15825940631032814, 0.019603886491321675, 0.1303961135086783 ], [ 0.1, 0.15412714147289727, 0.08843400810964132, 0.02713576255378878, 0.0728642374462112 ], [ 0.05, 0.13258153680166726, 0.03235381808552185, 0.02334242410055399, 0.026657575899446003 ], [ 0.03, 0.11357648340569997, 0.012141215977957313, 0.019996377379991586, 0.01000362262000841 ], [ 0.07, 0.3975216588651369, 0.000014540815021843912, 0.06998801925389271, 0.000011980746107306194 ] ], "chart": { "xLabel": "Component", "yLabel": "Mole fraction", "xTicks": { "values": [ 1, 2, 3, 4, 5, 6, 7 ], "text": [ "C1", "C2", "C3", "nC4", "nC5", "nC6", "C7+" ] }, "series": [ { "name": "Feed", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.45, 0.15, 0.15, 0.1, 0.05, 0.03, 0.07 ], "mode": "lines+markers" }, { "name": "Liquid", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.042512707121442284, 0.0483332794662772, 0.11134719286687912, 0.15412714147289727, 0.13258153680166726, 0.11357648340569997, 0.3975216588651369 ], "mode": "lines+markers" }, { "name": "Vapor", "x": [ 1, 2, 3, 4, 5, 6, 7 ], "y": [ 0.5370726699509434, 0.171724340750586, 0.15825940631032814, 0.08843400810964132, 0.03235381808552185, 0.012141215977957313, 0.000014540815021843912 ], "mode": "lines+markers", "line": { "dash": "dash" } } ] } } }, { "inputs": { "p": 2, "T": 350, "M": 220, "SG": 0.85, "z1": 0.45, "z2": 0.15, "z3": 0.15, "z4": 0.1, "z5": 0.05, "z6": 0.03, "z7": 0.07 }, "result": { "warnings": [ "Riazi-Daubert MW-SG estimates plus the Edmister acentric approximation characterize one lump, not its carbon-number distribution. Normal hexane remains separate from C7+; no heavy ideal-gas heat capacity has been assumed.", "C1-C6 plus one estimated C7+ pseudocomponent, kij=0. Single-lump PT screening only: no calibrated heavy-end distribution or C7+ caloric model.", "Two-phase equilibrium: beta is vapor moles per feed mole, not vapor mass fraction or in-situ gas holdup. 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Normal hexane remains separate from C7+; no heavy ideal-gas heat capacity has been assumed.", "C1-C6 plus one estimated C7+ pseudocomponent, kij=0. Single-lump PT screening only: no calibrated heavy-end distribution or C7+ caloric model.", "Two-phase equilibrium: beta is vapor moles per feed mole, not vapor mass fraction or in-situ gas holdup. 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