Mathcad Professional 13.0 <description/> <author>Chemical Engineering</author> <company>Mathsoft Engineering & Education, Inc.</company> <keywords/> <revisedBy>Chemical Engineering</revisedBy> </userData> <identityInfo> <revision>11</revision> <documentID>ec4fa7d0-17c9-40fd-9b90-db7ae03923f4</documentID> <versionID>85c685b4-de64-4314-896b-1d7321e59981</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="false" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="218" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="9" left="6" top="9" width="59.25" height="16.5" align-x="23.25" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="o">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>273.15</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="16" left="162" top="2.25" width="75" height="27.75" align-x="179.25" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="g">R</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1.98</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">cal</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">mole</ml:id> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1" left="6" top="39" width="70.5" height="16.5" align-x="39" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="BP_1">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>352.8</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="40" left="132" top="32.25" width="99" height="27.75" align-x="166.5" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="V_1">ΔH</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>32.0</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">mole</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="11" left="324" top="38.25" width="24.75" height="12" align-x="333.75" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MEK </p> </text> </region> <region region-id="15" left="378" top="38.25" width="34.5" height="17.25" align-x="400.5" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="1">ΔZ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="12" left="324" top="56.25" width="33.75" height="12" align-x="324" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Toluene</p> </text> </region> <region region-id="18" left="378" top="56.25" width="34.5" height="17.25" align-x="400.5" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="2">ΔZ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="3" left="6" top="63" width="70.5" height="16.5" align-x="39" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="BP_2">T</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>383.2</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="41" left="132" top="56.25" width="103.5" height="27.75" align-x="166.5" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="V_2">ΔH</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>37.79</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">J</ml:id> <ml:id xml:space="preserve">mole</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="24" left="6" top="105.75" width="99.75" height="42" align-x="56.25" align-y="126" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">ln</ml:id> <ml:id xml:space="preserve" subscript="sat">P</ml:id> </ml:apply> </ml:lambda> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve" subscript="V">ΔH</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">ΔZ</ml:id> <ml:id xml:space="preserve" subscript="g">R</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">T</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="10"/> </region> <region region-id="25" left="132" top="116.25" width="122.25" height="30" align-x="132" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Clapeyron Equation</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">assume <region region-id="26" left="169.5" top="129" width="33" height="17.25" align-x="187.5" align-y="138.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="V">ΔH</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </math> <rendering item-idref="11"/> </region> is constant</p> </text> </region> <region region-id="207" left="300" top="116.25" width="36.75" height="24" align-x="306" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Eq. 6.73</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">p. 221</p> </text> </region> <region region-id="20" left="6" top="171.75" width="201.75" height="36.75" align-x="52.5" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="1_sat">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">atm</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="V_1">ΔH</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="1">ΔZ</ml:id> <ml:id xml:space="preserve" subscript="g">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="BP_1">T</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="21" left="228" top="189" width="135.75" height="22.5" align-x="294.75" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="1_sat">P</ml:id> <ml:id xml:space="preserve" subscript="BP_1">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>101325</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="13"/> </region> <region region-id="22" left="6" top="219.75" width="201.75" height="36.75" align-x="52.5" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="2_sat">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">atm</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="V_2">ΔH</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="2">ΔZ</ml:id> <ml:id xml:space="preserve" subscript="g">R</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="BP_2">T</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="23" left="234" top="231" width="135.75" height="22.5" align-x="300.75" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="2_sat">P</ml:id> <ml:id xml:space="preserve" subscript="BP_2">T</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>101325</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="28" left="6" top="290.25" width="151.5" height="12" align-x="17.25" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Partial Pressures of Binary Mixture</p> </text> </region> <region region-id="31" left="6" top="326.25" width="160.5" height="17.25" align-x="76.5" align-y="336" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="true"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="1">y</ml:id> <ml:id xml:space="preserve">P</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="1">γ</ml:id> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1_sat">P</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="16"/> </region> <region region-id="204" left="186" top="326.25" width="42" height="12" align-x="186" align-y="336" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Eq. 12.11</p> </text> </region> <region region-id="34" left="6" top="356.25" width="160.5" height="17.25" align-x="76.5" align-y="366" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="true"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:equal/> <ml:apply> <ml:equal/> <ml:apply> <ml:id xml:space="preserve" subscript="2">P</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="2">y</ml:id> <ml:id xml:space="preserve">P</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="2">γ</ml:id> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">x</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="2_sat">P</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="17"/> </region> <region region-id="53" left="6" top="387" width="50.25" height="16.5" align-x="28.5" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="12">A</ml:id> <ml:real>0.372</ml:real> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="57" left="144" top="398.25" width="58.5" height="24" align-x="144" align-y="408" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#0080ff" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MEK/Toluene</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> p 438</p> </text> </region> <region region-id="54" left="6" top="411" width="50.25" height="16.5" align-x="28.5" align-y="420" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="21">A</ml:id> <ml:real>0.198</ml:real> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="48" left="6" top="434.25" width="86.25" height="12" align-x="6" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Margules Equations</p> </text> </region> <region region-id="50" left="6" top="453" width="222.75" height="22.5" align-x="47.25" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="1">γ</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">exp</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:pow/> <ml:parens> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> </ml:parens> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="12">A</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="21">A</ml:id> <ml:id xml:space="preserve" subscript="12">A</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="75" left="258" top="458.25" width="79.5" height="12" align-x="258" align-y="468" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ff80ff" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Eqs 12.10 a and b</p> </text> </region> <region region-id="77" left="468" top="376.5" width="102.75" height="177.75" align-x="492.75" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Data</ml:id> <ml:matrix rows="11" cols="2"> <ml:real>12.3</ml:real> <ml:real>15.51</ml:real> <ml:real>18.61</ml:real> <ml:real>21.63</ml:real> <ml:real>24.011</ml:real> <ml:real>25.92</ml:real> <ml:real>27.96</ml:real> <ml:real>30.12</ml:real> <ml:real>31.75</ml:real> <ml:real>34.15</ml:real> <ml:real>36.09</ml:real> <ml:real>0</ml:real> <ml:real>0.0895</ml:real> <ml:real>0.1981</ml:real> <ml:real>0.3193</ml:real> <ml:real>0.4232</ml:real> <ml:real>0.5119</ml:real> <ml:real>0.6096</ml:real> <ml:real>0.7135</ml:real> <ml:real>0.7934</ml:real> <ml:real>0.9102</ml:real> <ml:real>1</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="52" left="6" top="495" width="222.75" height="22.5" align-x="47.25" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="2">γ</ml:id> <ml:boundVars> <ml:id xml:space="preserve" 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height="17.25" align-x="54" align-y="552" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="1">P</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="1">γ</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve" subscript="1">x</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="1_sat">P</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region 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xml:space="preserve">A</ml:id> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0.198</ml:real> <ml:real>0</ml:real> <ml:real>0.198</ml:real> <ml:real>0</ml:real> <ml:real>0.372</ml:real> <ml:real>0</ml:real> <ml:real>0.372</ml:real> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="120" left="12" top="964.5" width="102" height="45.75" align-x="30.75" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">ΔH</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:matrix rows="3" cols="1"> <ml:real>31.3</ml:real> <ml:real>37.79</ml:real> <ml:real>1000</ml:real> </ml:matrix> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> 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