{"text_format":"1","workbook":"xlsx","n_sheets":8,"sheets":["Ideal Calc","vdW Calc","Gas Laws","P vs V","Z vs P (1000K)","Z vs P (500K)","Z vs P (250K)","Z vs P (125K)"],"not_rendered":{"charts":6,"images":2,"macros":1,"external_links":0,"defined_names":1,"comments":6,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Ideal Calc","index":0,"n_rows":18,"n_cols":30,"rows_kept":18,"cut":false,"hidden":false,"merged":[]}
[null,null,null,"  The Ideal Gas Calculator",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"atm","mL","L*atm/mol/K","°C"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"torr","cm3","J/mol/K","K"]
["The ideal gas calculator can solve for any one of the variables.  If the mass or the molar mass of the gas are not used in a",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"mm","dm3"]
["problem, those input fields should be left preset to zero.  If either the mass or the molar mass is assigned a nonzero value, a ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cm","L"]
["determination of the zeroed value will be made.  To select a unit of pressure, volume, or temperature, left click on the cell    ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"kPa"]
["containing the unit and use the drop down list.  All entries will be converted to match the units found in the gas constant, R."]
[]
["The formatting of the values are left to the user.  To format a particular cell, right click on the cell containing the value and "]
["click on Format Cells.  If you are interested in the actual value, simply click on the cell and all of the decimal places will"]
["be displayed in the Formula bar."]
[]
[null,"P =",0.14807502925395966,"atm"]
[null,"V =",2.0,"L"]
[null,"n =",28.0,"mol"]
[null,"m =",1.0,"g"]
[null,"MM =",0.0357142873108387,"g/mol"]
[null,"R =",0.0,"L*atm/mol/K"]
[null,"T =",283.0,"K"]

{"sheet":"vdW Calc","index":1,"n_rows":30,"n_cols":9,"rows_kept":30,"cut":false,"hidden":false,"merged":[]}
[{"$f":"POWER($F$27,3)-(($G$27/$B$27*GC*$I$27+$E$27*$D$27*POWER(10,-2))/$E$27)*$F$27^2+$C$27/$E$27*$F$27-$C$27/$E$27*$D$27*POWER(10,-2)","v":0.00008696305635},null,null,"   The van der Waals Gas Calculator"]
[]
["The calculator below can be used to calculate the van der Waals pressure, PV.  The cells containing a comment "]
["indicator can be changed to the desired quantities."]
[]
["The van der Waals equation expressing P as a function of V is"]
[]
[null,"P - n•R•T/(V-n•b) + a•n2/V2 = 0"]
[]
["Gas","MM","a","b","PV","V","m","n","T"]
[null,"(g/mol)","(atm•L2•mol-2)","(10-2•L•mol-1)","(atm)","(L)","(g)","(mol)","(K)"]
["Ar",39.95,1.363,3.219,{"$f":"(H12*GC*I12/(F12-H12*D12*POWER(10,-2))-(C12*POWER(H12,2))/POWER(F12,2))","v":63.65587839},5.0,500.0,{"$f":"G12/B12","v":12.51564456},323.0]
["CO2",44.01,3.64,4.267,47.93134502,5.0,500.0,11.36105431,323.0]
["He",4.0,0.057,2.37,1591.264571,5.0,500.0,125,323.0]
["N2",28.02,1.408,3.913,92.06893374,5.0,500.0,17.84439686,323.0]
[]
["The calculator below can be used to calculate the van der Waals volume, VV.  The cells containing a comment "]
["indicator can be changed to the desired quantities.  To solve for VV, either Goal Seek or Solver could be"]
["used.  Goal Seek is easier to use and is found under the Tools menu."]
[]
["The van der Waals equation expressing V as a function of P is"]
[]
[null,"V3 - (b + R•T/P)V2 + a/P•V - a•b/P = 0"]
[]
["Gas","MM","a","b","PV","VV","m","n","T"]
[null,"(g/mol)","(atm•L2•mol-2)","(10-2•L•mol-1)","(atm)","(L)","(g)","(mol)","(K)"]
["Ar",39.95,1.363,3.219,20.0,15.33801931583859,500.0,{"$f":"G27/B27","v":12.51564456},298.0]
["CO2",44.01,3.64,4.267,20.0,13.927506501310006,500.0,11.36105431,298.0]
["He",4.0,0.057,2.37,20.0,152.93493136750538,500.0,125,298.0]
["N2",28.02,1.408,3.913,20.0,21.86478825951788,500.0,17.84439686,298.0]

{"sheet":"Gas Laws","index":2,"n_rows":36,"n_cols":5,"rows_kept":36,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,"   The Ideal and van der Waals Gas Laws"]
[]
["An ideal gas is a hypothetical gas whose pressure, volume, and temperature values is completely described by the ideal gas equation."]
["The equation of state for an ideal gas is given by:"]
[]
[null,"   PV = nRT"]
[]
["where R is the universal gas constant.  R can take on different numerical values depending on the units.  A very common value for R is "]
[]
[null,0.0821,"L•atm/mol/K"]
[]
["This value for R dictates that the pressure, P, be measured in atmospheres (atm), the volume, V, be measured in liters (L), n is the number"]
["of moles of gas, and T is always expressed as the absolute temperature, K."]
[]
["There are two differences between an ideal gas and a real (van der Waals) gas.  The first difference is that the molecules making up a real "]
["gas have a certain volume of their own which decreases the accessible volume.  The correction is to subtract this volume, called b, from the "]
["molar volume of the gas as shown below."]
[]
[null,"nRT/(Vm - nb)"]
[]
["The second correction is that intermolecular forces of attraction exist between neighboring gas molecules.  Because it is reasonable to"]
["assume intermolecular forces should reduce the pressure, the correction factor is subtracted from the pressure as shown below."]
[]
[null,"-na2/Vm2"]
[]
["Combining the two expressions above gives the resulting van der Waals equation"]
[]
[null,"Pv = nRT/(Vm-nb) - na2/Vm2"]
[]
["Each gas has its unique values of a and b which have been empirically derived."]
[]
["Another difference to note is that ideal gas isotherms are hyperbolic because P and V are inversely proportional.  Van der Waals isotherms  "]
["can be found in nonphysical regions of pressure when the computed pressures are negative.  The fact that computed pressures can be "]
["negative indicates that van der Waals gases exhibit critical behavior.  In these negative regions, the gas condenses to form a liquid.  The "]
["critical behavior is more pronounced for regions of high pressure and low molar volume.  Because an ideal gas is defined to have no"]
["intermolecular attractions, it cannot condense to a liquid nor exhibit any critical behavior."]

{"sheet":"P vs V","index":3,"n_rows":59,"n_cols":16,"rows_kept":59,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"   Ideal Gas and van der Waals Isotherms for CO2"]
[]
["As seen below, at high temperatures when a gas is expected to behave ideally, the agreement between ideal and van der Waals gases"]
["is very good.  Most real gases behave ideally at high temperatures and low pressures.  The high temperatures offset the intermolecular"]
["attractions and the low pressures nullify the effects of the gas molecules having a volume of their own.  For lower temperatures and higher  "]
["pressures, there are significant deviations between an ideal gas and a real gas."]
[]
["V","Pi","Pi","Pi",null,null,null,null,null,null,null,null,null,"Pv","Pv","Pv"]
["(L)","(atm)","(atm)","(atm)",null,null,null,null,null,null,null,null,null,"(atm)","(atm)","(atm)"]
[0.02,{"$f":"GC*120/A10","v":492.6},{"$f":"GC*250/A10","v":1026.25},{"$f":"GC*500/A10","v":2052.5},null,null,null,null,null,null,null,null,null,{"$f":"GC*120/(A10-0.04267)-3.592/POWER(A10,2)","v":-9414.58315},{"$f":"GC*250/(A10-0.04267)-3.592/POWER(A10,2)","v":-9885.381562},{"$f":"GC*500/(A10-0.04267)-3.592/POWER(A10,2)","v":-10790.76312}]
[0.04,246.3,513.125,1026.25,null,null,null,null,null,null,null,null,null,-5934.88764,-9932.265918,-17619.53184]
[0.06,164.2,342.0833333,684.1666667,null,null,null,null,null,null,null,null,null,-429.2838366,186.5845996,1370.946977]
[0.08,123.15,256.5625,513.125,null,null,null,null,null,null,null,null,null,-297.3335789,-11.42412269,538.4017546]
[0.1,98.52,205.25,410.5,null,null,null,null,null,null,null,null,null,-187.3527996,-1.184999128,356.8300017]
[0.12,82.1,171.0416667,342.0833333,null,null,null,null,null,null,null,null,null,-122.0424013,15.97647887,281.3974022]
[0.14,70.37142857,146.6071429,293.2142857,null,null,null,null,null,null,null,null,null,-82.04266151,27.61520348,238.4957131]
[0.16,61.575,128.28125,256.5625,null,null,null,null,null,null,null,null,null,-56.34420545,34.62144699,209.555394]
[0.18,54.73333333,114.0277778,228.0555556,null,null,null,null,null,null,null,null,null,-39.1245922,38.59331357,188.0508247]
[0.2,49.26,102.625,205.25,null,null,null,null,null,null,null,null,null,-27.18002924,40.65827242,171.1165448]
[0.22,44.78181818,93.29545455,186.5909091,null,null,null,null,null,null,null,null,null,-18.65744074,41.52978082,157.2744377]
[0.24,41.05,85.52083333,171.0416667,null,null,null,null,null,null,null,null,null,-12.43459208,41.6524702,145.6660515]
[0.26,37.89230769,78.94230769,157.8846154,null,null,null,null,null,null,null,null,null,-7.804111055,41.30553787,135.7471704]
[0.28,35.18571429,73.30357143,146.6071429,null,null,null,null,null,null,null,null,null,-4.304507544,40.66662969,127.1495859]
[0.3,32.84,68.41666667,136.8333333,null,null,null,null,null,null,null,null,null,-1.625641092,39.85028476,119.6116806]
[0.32,30.7875,64.140625,128.28125,null,null,null,null,null,null,null,null,null,0.4463404383,38.931178,112.940481]
[0.34,28.97647059,60.36764706,120.7352941,null,null,null,null,null,null,null,null,null,2.062236256,37.95837859,106.9894215]
[0.36,27.36666667,57.01388889,114.0277778,null,null,null,null,null,null,null,null,null,3.330495224,36.96425188,101.6445531]
[0.38,25.92631579,54.01315789,108.0263158,null,null,null,null,null,null,null,null,null,4.330475932,35.97011664,96.81557954]
[0.4,24.63,51.3125,102.625,null,null,null,null,null,null,null,null,null,5.121152716,34.98990149,92.42980298]
[0.42,23.45714286,48.86904762,97.73809524,null,null,null,null,null,null,null,null,null,5.746959496,34.03254506,88.42790191]
[0.44,22.39090909,46.64772727,93.29545455,null,null,null,null,null,null,null,null,null,6.241791021,33.10359355,84.76090611]
[0.46,21.4173913,44.61956522,89.23913043,null,null,null,null,null,null,null,null,null,6.631791979,32.2062774,81.38798013]
[0.48,20.525,42.76041667,85.52083333,null,null,null,null,null,null,null,null,null,6.937332951,31.34224457,78.27476693]
[0.5,19.704,41.05,82.1,null,null,null,null,null,null,null,null,null,7.174431067,30.51206472,75.39212945]
[0.52,18.94615385,39.47115385,78.94230769,null,null,null,null,null,null,null,null,null,7.355785269,29.71557828,72.71518024]
[0.54,18.24444444,38.00925926,76.01851852,null,null,null,null,null,null,null,null,null,7.491540078,28.95213968,70.22252353]
[0.56,17.59285714,36.65178571,73.30357143,null,null,null,null,null,null,null,null,null,7.589855506,28.22078741,67.89565645]
[0.58,16.9862069,35.38793103,70.77586207,null,null,null,null,null,null,null,null,null,7.657336768,27.52036321,65.71849099]
[0.6,16.42,34.20833333,68.41666667,null,null,null,null,null,null,null,null,null,7.69936144,26.84959559,63.67696896]
[0.62,15.89032258,33.10483871,66.20967742,null,null,null,null,null,null,null,null,null,7.720330771,26.20715806,61.75874901]
[0.64,15.39375,32.0703125,64.140625,null,null,null,null,null,null,null,null,null,7.72386436,25.59170961,59.95295046]
[0.66,14.92727273,31.09848485,62.1969697,null,null,null,null,null,null,null,null,null,7.712952118,25.00192236,58.24994206]
[0.68,14.48823529,30.18382353,60.36764706,null,null,null,null,null,null,null,null,null,7.690073754,24.43650025,56.64116659]
[0.7,14.07428571,29.32142857,58.64285714,null,null,null,null,null,null,null,null,null,7.657293373,23.89419113,55.1189945]
[0.72,13.68333333,28.50694444,57.01388889,null,null,null,null,null,null,null,null,null,7.616334826,23.37379426,53.67660087]
[0.74,13.31351351,27.73648649,55.47297297,null,null,null,null,null,null,null,null,null,7.568642103,22.8741646,52.3078617]
[0.76,12.96315789,27.00657895,54.01315789,null,null,null,null,null,null,null,null,null,7.515427999,22.39421461,51.00726579]
[0.78,12.63076923,26.31410256,52.62820513,null,null,null,null,null,null,null,null,null,7.457713539,21.9329146,49.76983972]
[0.8,12.315,25.65625,51.3125,null,null,null,null,null,null,null,null,null,7.396360074,21.48929182,48.59108364]
[0.82,12.01463415,25.0304878,50.06097561,null,null,null,null,null,null,null,null,null,7.332095536,21.06242886,47.46691601]
[0.84,11.72857143,24.43452381,48.86904762,null,null,null,null,null,null,null,null,null,7.265536,20.65146153,46.393626]
[0.86,11.45581395,23.86627907,47.73255814,null,null,null,null,null,null,null,null,null,7.197203479,20.25557647,45.36783223]
[0.88,11.19545455,23.32386364,46.64772727,null,null,null,null,null,null,null,null,null,7.127540654,19.87400859,44.38644694]
[0.9,10.94666667,22.80555556,45.61111111,null,null,null,null,null,null,null,null,null,7.056923123,19.5060384,43.4466447]
[0.92,10.70869565,22.30978261,44.61956522,null,null,null,null,null,null,null,null,null,6.985669615,19.15098939,42.54583512]
[0.94,10.48085106,21.83510638,43.67021277,null,null,null,null,null,null,null,null,null,6.914050539,18.80822548,41.68163883]
[0.96,10.2625,21.38020833,42.76041667,null,null,null,null,null,null,null,null,null,6.842295163,18.47714849,40.85186642]
[0.98,10.05306122,20.94387755,41.8877551,null,null,null,null,null,null,null,null,null,6.770597653,18.15719576,40.0544998]
[1.0,9.852,20.525,41.05,null,null,null,null,null,null,null,null,null,6.699122184,17.84783788,39.28767576]

{"sheet":"Z vs P (1000K)","index":4,"n_rows":63,"n_cols":6,"rows_kept":63,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"   Compressiblity Factor of CO2 at 1000K"]
[]
["The ideal gas law is valid for all gases at sufficiently low pressures.  As the pressure is increased, the deviations from the ideal"]
["law can be displayed graphically by plotting PV/RT as a function of pressure as shown below.  The quantity PV/RT is known as"]
["the compressibility factor, Z.  For an ideal gas, Z = 1 under all conditions.  For real gases, Z = 1 at low pressure but deviations "]
["start to appear as the pressure is increased.  The magnitude of the deviation depends on the temperature and nature of the gas."]
["The closer the gas is to the point at which it liquifies, the greater the deviation."]
[]
["It makes sense that the ideal and van der Waals isotherms agree at high temperatures.  At higher temperatures, the molecules"]
["are moving much more rapidly which weakens the intermolecular forces."]
[]
["V","Pv","Zv","Pi","Zi"]
["(L)","(atm)",null,"(atm)"]
[0.02,{"$f":"GC*1000/(A14-0.04267)-3.592/POWER(A14,2)","v":-12601.52625},{"$f":"B14*A14/GC/1000","v":-3.069799329},{"$f":"GC*1000/A14","v":4105},{"$f":"D14*A14/GC/1000","v":1}]
[0.04,-32994.06367,-16.07506147,2052.5,1]
[0.06,3739.671732,2.733012228,1368.333333,1]
[0.08,1638.053509,1.596154455,1026.25,1]
[0.1,1072.860003,1.306772233,821,1]
[0.12,812.2392488,1.187195004,684.1666667,1]
[0.14,660.2567323,1.12589455,586.4285714,1]
[0.16,559.4232879,1.090228089,513.125,1]
[0.18,486.9658469,1.067647411,456.1111111,1]
[0.2,432.0330897,1.05245576,410.5,1]
[0.22,388.7637514,1.041754267,373.1818182,1]
[0.24,353.6932141,1.03393875,342.0833333,1]
[0.26,324.6304355,1.02806228,315.7692308,1]
[0.28,300.1154984,1.023536413,293.2142857,1]
[0.3,279.1344724,1.019979802,273.6666667,1]
[0.32,260.959087,1.017136514,256.5625,1]
[0.34,245.0515074,1.014829629,241.4705882,1]
[0.36,231.0051557,1.012933691,228.0555556,1]
[0.38,218.5065053,1.011357759,216.0526316,1]
[0.4,207.309606,1.010034621,205.25,1]
[0.42,197.2186156,1.008913746,195.4761905,1]
[0.44,188.0755312,1.007956562,186.5909091,1]
[0.46,179.7513856,1.00713322,178.4782609,1]
[0.48,172.1398116,1.006420336,171.0416667,1]
[0.5,165.1522589,1.005799384,164.2,1]
[0.52,158.7143841,1.005255539,157.8846154,1]
[0.54,152.7632912,1.004776824,152.037037,1]
[0.56,147.2453945,1.004353483,146.6071429,1]
[0.58,142.1147466,1.003977503,141.5517241,1]
[0.6,137.3317157,1.003642258,136.8333333,1]
[0.62,132.8619309,1.003342231,132.4193548,1]
[0.64,128.6754322,1.003072796,128.28125,1]
[0.66,124.7459815,1.002830058,124.3939394,1]
[0.68,121.0504993,1.002610713,120.7352941,1]
[0.7,117.5686012,1.002411947,117.2857143,1]
[0.72,114.2822141,1.002231354,114.0277778,1]
[0.74,111.1752559,1.002066862,110.9459459,1]
[0.76,108.2333681,1.001916684,108.0263158,1]
[0.78,105.44369,1.001779271,105.2564103,1]
[0.8,102.7946673,1.001653274,102.625,1]
[0.82,100.2758903,1.001537516,100.1219512,1]
[0.84,97.87795495,1.001430964,97.73809524,1]
[0.86,95.59234375,1.001332712,95.46511628,1]
[0.88,93.41132363,1.001241959,93.29545455,1]
[0.9,91.3278573,1.001157997,91.22222222,1]
[0.92,89.33552657,1.0010802,89.23913043,1]
[0.94,87.42846553,1.00100801,87.34042553,1]
[0.96,85.60130228,1.000940928,85.52083333,1]
[0.98,83.84910789,1.000878511,83.7755102,1]
[1.0,82.16735153,1.00082036,82.1,1]

{"sheet":"Z vs P (500K)","index":5,"n_rows":57,"n_cols":6,"rows_kept":57,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"     Compressiblity Factor of CO2 at 500K"]
[]
["For 500 K, the Z for both the ideal and van der Waals gas agree very closely.  However, it can be seen that with "]
["increasing pressure, the deviation starts to get larger."]
[]
["V","Pv","Zv","Pi","Zi"]
["(L)","(atm)",null,"(atm)"]
[0.02,{"$f":"GC*500/(A8-0.04267)-3.592/POWER(A8,2)","v":-10790.76312},{"$f":"B8*A8/GC/500","v":-5.257375456},{"$f":"GC*500/A8","v":2052.5},{"$f":"D8*A8/GC/500","v":1}]
[0.04,-17619.53184,-17.16884953,1026.25,1]
[0.06,1370.946977,2.003820186,684.1666667,1]
[0.08,538.4017546,1.049260423,513.125,1]
[0.1,356.8300017,0.8692570079,410.5,1]
[0.12,281.3974022,0.8225989833,342.0833333,1]
[0.14,238.4957131,0.0,293.2142857,1]
[0.16,209.555394,0.0,256.5625,1]
[0.18,188.0508247,0.0821,228.0555556,1]
[0.2,171.1165448,{"$f":"B17*A17/GC/500","v":0.8336981478},205.25,1]
[0.22,157.2744377,0.8428837098,186.5909091,1]
[0.24,145.6660515,0.8516407396,171.0416667,1]
[0.26,135.7471704,0.8597871938,157.8846154,1]
[0.28,127.1495859,0.8672809758,146.6071429,1]
[0.3,119.6116806,0.8741413932,136.8333333,1]
[0.32,112.940481,0.8804130065,128.28125,1]
[0.34,106.9894215,0.8861486802,120.7352941,1]
[0.36,101.6445531,0.8914016841,114.0277778,1]
[0.38,96.81557954,0.8962221736,108.0263158,1]
[0.4,92.42980298,0.9006558147,102.625,1]
[0.42,88.42790191,0.9047434544,97.73809524,1]
[0.44,84.76090611,0.9085212836,93.29545455,1]
[0.46,81.38798013,0.9120212146,89.23913043,1]
[0.48,78.27476693,0.9152713307,85.52083333,1]
[0.5,75.39212945,0.9182963392,82.1,1]
[0.52,72.71518024,0.9211179957,78.94230769,1]
[0.54,70.22252353,0.9237554861,76.01851852,1]
[0.56,67.89565645,0.9262257639,73.30357143,1]
[0.58,65.71849099,0.9285438435,70.77586207,1]
[0.6,63.67696896,0.9307230542,68.41666667,1]
[0.62,61.75874901,0.9327752591,66.20967742,1]
[0.64,59.95295046,0.9347110425,64.140625,1]
[0.66,58.24994206,0.9365398723,62.1969697,1]
[0.68,56.64116659,0.9382702384,60.36764706,1]
[0.7,55.1189945,0.9399097722,58.64285714,1]
[0.72,53.67660087,0.9414653502,57.01388889,1]
[0.74,52.3078617,0.9429431829,55.47297297,1]
[0.76,51.00726579,0.9443488915,54.01315789,1]
[0.78,49.76983972,0.9456875758,52.62820513,1]
[0.8,48.59108364,0.9469638712,51.3125,1]
[0.82,47.46691601,0.9481820007,50.06097561,1]
[0.84,46.393626,0.9493458183,48.86904762,1]
[0.86,45.36783223,0.9504588482,47.73255814,1]
[0.88,44.38644694,0.9515243193,46.64772727,1]
[0.9,43.4466447,0.9525451944,45.61111111,1]
[0.92,42.54583512,0.9535241975,44.61956522,1]
[0.94,41.68163883,0.9544638368,43.67021277,1]
[0.96,40.85186642,0.9553664254,42.76041667,1]
[0.98,40.0544998,0.9562341,41.8877551,1]
[1.0,39.28767576,0.9570688371,41.05,1]

{"sheet":"Z vs P (250K)","index":6,"n_rows":56,"n_cols":6,"rows_kept":56,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"     Compressiblity Factor of CO2 at 250K"]
[]
["For 250 K and 125 K there is virtually no agreement between the two types of gas."]
[]
["V","Pv","Zv","Pi","Zi"]
["(L)","(atm)",null,"(atm)"]
[0.02,{"$f":"GC*250/(A7-0.04267)-3.592/POWER(A7,2)","v":-9885.381562},{"$f":"B7*A7/GC/250","v":-9.632527709},{"$f":"GC*250/A7","v":1026.25},{"$f":"D7*A7/GC/250","v":1}]
[0.04,-9932.265918,-19.35642566,513.125,1]
[0.06,186.5845996,0.5454361012,342.0833333,1]
[0.08,-11.42412269,-0.0445276402,256.5625,1]
[0.1,-1.184999128,-0.005773442767,205.25,1]
[0.12,15.97647887,0.09340694103,171.0416667,1]
[0.14,27.61520348,0.1883619239,146.6071429,1]
[0.16,34.62144699,0.2698870411,128.28125,1]
[0.18,38.59331357,0.3384553687,114.0277778,1]
[0.2,40.65827242,0.3961829225,102.625,1]
[0.22,41.52978082,0.4451425959,93.29545455,1]
[0.24,41.6524702,0.4870447185,85.52083333,1]
[0.26,41.30553787,0.5232370205,78.94230769,1]
[0.28,40.66662969,0.5547701005,73.30357143,1]
[0.3,39.85028476,0.5824645763,68.41666667,1]
[0.32,38.931178,0.6069659907,64.140625,1]
[0.34,37.95837859,0.628786783,60.36764706,1]
[0.36,36.96425188,0.64833767,57.01388889,1]
[0.38,35.97011664,0.6659510023,54.01315789,1]
[0.4,34.98990149,0.681898202,51.3125,1]
[0.42,34.03254506,0.6964028709,48.86904762,1]
[0.44,33.10359355,0.7096507266,46.64772727,1]
[0.46,32.2062774,0.7217972036,44.61956522,1]
[0.48,31.34224457,0.7329733201,42.76041667,1]
[0.5,30.51206472,0.7432902491,41.05,1]
[0.52,29.71557828,0.752842909,39.47115385,1]
[0.54,28.95213968,0.7617128101,38.00925926,1]
[0.56,28.22078741,0.7699703263,36.65178571,1]
[0.58,27.52036321,0.7776765244,35.38793103,1]
[0.6,26.84959559,0.7848846458,34.20833333,1]
[0.62,26.20715806,0.7916413154,33.10483871,1]
[0.64,25.59170961,0.7979875346,32.0703125,1]
[0.66,25.00192236,0.803959501,31.09848485,1]
[0.68,24.43650025,0.8095892897,30.18382353,1]
[0.7,23.89419113,0.8149054221,29.32142857,1]
[0.72,23.37379426,0.8199333432,28.50694444,1]
[0.74,22.8741646,0.8246958247,27.73648649,1]
[0.76,22.39421461,0.8292133059,27.00657895,1]
[0.78,21.9329146,0.8335041846,26.31410256,1]
[0.8,21.48929182,0.8375850649,25.65625,1]
[0.82,21.06242886,0.8414709701,25.0304878,1]
[0.84,20.65146153,0.8451755265,24.43452381,1]
[0.86,20.25557647,0.8487111214,23.86627907,1]
[0.88,19.87400859,0.8520890408,23.32386364,1]
[0.9,19.5060384,0.8553195888,22.80555556,1]
[0.92,19.15098939,0.858412192,22.30978261,1]
[0.94,18.80822548,0.861375491,21.83510638,1]
[0.96,18.47714849,0.8642174201,21.38020833,1]
[0.98,18.15719576,0.8669452785,20.94387755,1]
[1.0,17.84783788,0.8695657921,20.525,1]

{"sheet":"Z vs P (125K)","index":7,"n_rows":56,"n_cols":6,"rows_kept":56,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,"     Compressiblity Factor of CO2 at 125K"]
[]
["For 125 K and 250 K there is virtually no agreement between the two types of gas."]
[]
["V","Pv","Zv","Pi","Zi"]
["(L)","(atm)",null,"(atm)"]
[0.02,{"$f":"GC*125/(A7-0.04267)-3.592/POWER(A7,2)","v":-9432.690781},{"$f":"B7*A7/GC/125","v":-18.38283222},{"$f":"GC*125/A7","v":513.125},{"$f":"D7*A7/GC/125","v":1}]
[0.04,-6088.632959,-23.73157791,256.5625,1]
[0.06,-405.5965891,-2.371332068,171.0416667,1]
[0.08,-286.3370613,-2.232103767,128.28125,1]
[0.1,-180.1924996,-1.755834344,102.625,1]
[0.12,-116.7339828,-1.364977143,85.52083333,1]
[0.14,-77.82505132,-1.061681577,73.30357143,1]
[0.16,-52.84552651,-0.8239010223,64.140625,1]
[0.18,-36.13544198,-0.6338006876,57.01388889,1]
[0.2,-24.57086379,-0.4788475282,51.3125,1]
[0.22,-16.34254761,-0.350339632,46.64772727,1]
[0.24,-10.35432046,-0.2421473237,42.76041667,1]
[0.26,-5.915278404,-0.1498633262,39.47115385,1]
[0.28,-2.57484842,-0.07025164995,36.65178571,1]
[0.3,-0.03041317461,-0.0008890574794,34.20833333,1]
[0.32,1.926526498,0.06007195902,32.0703125,1]
[0.34,3.442857115,0.1140629884,30.18382353,1]
[0.36,4.624101249,0.1622096419,28.50694444,1]
[0.38,5.54738519,0.2054086599,27.00657895,1]
[0.4,6.269950746,0.2443829767,25.65625,1]
[0.42,6.834866633,0.2797217039,24.43452381,1]
[0.44,7.274937272,0.3119096127,23.32386364,1]
[0.46,7.615426034,0.3413491815,22.30978261,1]
[0.48,7.875983398,0.368377299,21.38020833,1]
[0.5,8.072032362,0.3932780688,20.525,1]
[0.52,8.215777308,0.4162927357,19.73557692,1]
[0.54,8.316947755,0.437627458,19.00462963,1]
[0.56,8.383352887,0.4574594511,18.32589286,1]
[0.58,8.421299324,0.4759418863,17.69396552,1]
[0.6,8.435908907,0.4932078289,17.10416667,1]
[0.62,8.43136259,0.5093734281,16.55241935,1]
[0.64,8.411089178,0.5245405187,16.03515625,1]
[0.66,8.377912512,0.5387987584,15.54924242,1]
[0.68,8.334167081,0.5522273925,15.09191176,1]
[0.7,8.281789441,0.5648967219,14.66071429,1]
[0.72,8.222390958,0.5768693291,14.25347222,1]
[0.74,8.157316045,0.5882011083,13.86824324,1]
[0.76,8.087689023,0.5989421347,13.50328947,1]
[0.78,8.014452041,0.6091374024,13.15705128,1]
[0.8,7.938395911,0.6188274522,12.828125,1]
[0.82,7.860185279,0.628048909,12.5152439,1]
[0.84,7.780379289,0.636834943,12.2172619,1]
[0.86,7.699448594,0.6452156678,11.93313953,1]
[0.88,7.617789421,0.6532184838,11.66193182,1]
[0.9,7.535735249,0.6608683775,11.40277778,1]
[0.92,7.45356653,0.668188181,11.1548913,1]
[0.94,7.371518806,0.6751987993,10.91755319,1]
[0.96,7.289789521,0.6819194095,10.69010417,1]
[0.98,7.208543734,0.6883676355,10.47193878,1]
[1.0,7.127918941,0.6945597019,10.2625,1]