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PaneSelectorBox[{False->GridBox[{ { OpenerBox[Dynamic[Typeset`var$$], Appearance->Automatic, AutoAction->False, ContinuousAction->False, Enabled->Automatic], StyleBox["\<\"2.1 Ley Gay-Lussac\"\>", StripOnInput->False, LineColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FrontFaceColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], BackFaceColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], GraphicsColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily->"Calibri", FontSize->24, FontColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`]]} }, AutoDelete->False, BaselinePosition->{1, 1}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxBackground->{"Columns" -> {{Automatic}}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{ "Columns" -> {{0.2}}, "Rows" -> {{0.5}}}], True->GridBox[{ { OpenerBox[Dynamic[Typeset`var$$], Appearance->Automatic, AutoAction->False, ContinuousAction->False, Enabled->Automatic], StyleBox["\<\"2.1 Ley Gay-Lussac\"\>", StripOnInput->False, LineColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FrontFaceColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], BackFaceColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], GraphicsColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily->"Calibri", FontSize->24, FontColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`]]}, {"", PaneBox[ StyleBox["\<\"La ley de Gay-Lussac\:200b establece que la \ presi\[OAcute]n de un volumen fijo de un gas, es directamente proporcional a \ su temperatura.\\n\\nSi el volumen de una cierta cantidad de gas a presi\ \[OAcute]n moderada se mantiene constante, el cociente entre presi\[OAcute]n \ y temperatura (kelvin) permanece constante:\\n\\!\\(\\*FractionBox[\\(P\\), \ \\(T\\)]\\)=\[InvisiblePrefixScriptBase]\\!\\(\\*SubscriptBox[\\(k\\), \ \\(3\\)]\\)\\ndonde:\\n\\nP es la presi\[OAcute]n\\nT es la temperatura \ absoluta (es decir, medida en kelvin)\\n\\!\\(\\*SubscriptBox[\\(k\\), \ \\(3\\)]\\) una constante de proporcionalidad\\n\"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->16, FontColor->RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059]], ImageMargins->0]} }, AutoDelete->False, BaselinePosition->{1, 1}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxBackground->{"Columns" -> {{Automatic}}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{ "Columns" -> {{0.2}}, "Rows" -> {{0.5}}}]}, Dynamic[ Typeset`var$$], Alignment->Automatic, BaselinePosition->Baseline, DefaultBaseStyle->"OpenerView", ImageMargins->0, ImageSize->Automatic], Deployed->False, StripOnInput->False], OpenerView[{ Style["2.1 Ley Gay-Lussac", RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 24], Style[ "La ley de Gay-Lussac\:200b establece que la presi\ \[OAcute]n de un volumen fijo de un gas, es directamente proporcional a su \ temperatura.\n\nSi el volumen de una cierta cantidad de gas a presi\[OAcute]n \ moderada se mantiene constante, el cociente entre presi\[OAcute]n y \ temperatura (kelvin) permanece constante:\n\!\(\*FractionBox[\(P\), \(T\)]\)=\ \[InvisiblePrefixScriptBase]\!\(\*SubscriptBox[\(k\), \(3\)]\)\ndonde:\n\nP \ es la presi\[OAcute]n\nT es la temperatura absoluta (es decir, medida en \ kelvin)\n\!\(\*SubscriptBox[\(k\), \(3\)]\) una constante de proporcionalidad\ \n", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16]}, False]], DynamicModuleValues:>{}], Setting[#, {0}]& ], "\<\"\"\>"}, { StyleBox["\<\"Supongamos que tenemos un gas que se encuentra a \ presi\[OAcute]n \\!\\(\\*SubscriptBox[\\(P\\), \\(1\\)]\\) y a una \ temperatura \\!\\(\\*SubscriptBox[\\(T\\), \\(1\\)]\\) al comienzo del \ experimento. Si variamos la temperatura hasta un nuevo valor \ \\!\\(\\*SubscriptBox[\\(T\\), \\(2\\)]\\), entonces la presi\[OAcute]n \ cambiar\[AAcute] a \\!\\(\\*SubscriptBox[\\(P\\), \\(2\\)]\\), y se cumplira:\ \"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->16, FontColor->RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059]], "\<\"\"\>"}, { StyleBox["\<\"\\!\\(\\*StyleBox[FractionBox[SubscriptBox[\\\"P\ \\\", \\\"1\\\"], SubscriptBox[\\\"T\\\", \\\"1\\\"]],FontFamily->\\\"Times \ New Roman\\\",FontSize->16,FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"\ =\\\",FontFamily->\\\"Times New \ Roman\\\",FontSize->16,FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\ FractionBox[SubscriptBox[\\\"P\\\", \\\"2\\\"], SubscriptBox[\\\"T\\\", \\\"2\ \\\"]],FontFamily->\\\"Times New Roman\\\",FontSize->16,FontSlant->\\\"Italic\ \\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontFamily->\\\"Times New \ Roman\\\",FontSize->16,FontSlant->\\\"Italic\\\"]\\)\"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->16, FontColor->RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059]], "\<\"\"\>"}, { TagBox[ DynamicModuleBox[{Typeset`var$$ = True}, InterpretationBox[ StyleBox[ PaneSelectorBox[{False->GridBox[{ { OpenerBox[Dynamic[Typeset`var$$], Appearance->Automatic, AutoAction->False, ContinuousAction->False, Enabled->Automatic], StyleBox["\<\"2.2 Validez de la ley\"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->24, FontColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`]]} }, AutoDelete->False, BaselinePosition->{1, 1}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxBackground->{"Columns" -> {{Automatic}}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{ "Columns" -> {{0.2}}, "Rows" -> {{0.5}}}], True->GridBox[{ { OpenerBox[Dynamic[Typeset`var$$], Appearance->Automatic, AutoAction->False, ContinuousAction->False, Enabled->Automatic], StyleBox["\<\"2.2 Validez de la ley\"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->24, FontColor->RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`]]}, {"", PaneBox[ StyleBox["\<\"Estrictamente la ley de Gay-Lussac es v\ \[AAcute]lida para gases ideales y en los gases reales se cumple con un alto \ grado de exactitud s\[OAcute]lo en condiciones de presi\[OAcute]n y \ temperaturas moderadas y bajas densidades del gas. A altas presiones la ley \ necesita corregirse con t\[EAcute]rminos espec\[IAcute]ficos seg\[UAcute]n la \ naturaleza del gas. Por ejemplo para un gas que satisface la ecuaci\[OAcute]n \ de Van der Waals la ley de Gay-Lussac deber\[IAcute]a escribirse \ como:\\n\\!\\(\\*FractionBox[\\(P - \\*SubscriptBox[\\(P\\), \\(0\\)]\\), \ \\(T\\)]\\)=constante\\nEl t\[EAcute]rmino \\!\\(\\*SubscriptBox[\\(P\\), \ \\(0\\)]\\) es una constante que depender\[AAcute] de la cantidad de gas en \ el recipiente y de su densidad, y para densidades relativamente bajas ser\ \[AAcute] peque\[NTilde]o frente a P, pero no para presiones grandes.\"\>", StripOnInput->False, FontFamily->"Calibri", FontSize->16, FontColor->RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059]], ImageMargins->0]} }, AutoDelete->False, BaselinePosition->{1, 1}, GridBoxAlignment->{"Columns" -> {{Left}}}, GridBoxBackground->{"Columns" -> {{Automatic}}}, GridBoxItemSize->{ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, GridBoxSpacings->{ "Columns" -> {{0.2}}, "Rows" -> {{0.5}}}]}, Dynamic[ Typeset`var$$], Alignment->Automatic, BaselinePosition->Baseline, DefaultBaseStyle->"OpenerView", ImageMargins->0, ImageSize->Automatic], Deployed->False, StripOnInput->False], OpenerView[{ Style[ "2.2 Validez de la ley", FontColor -> RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 24], Style[ "Estrictamente la ley de Gay-Lussac es v\[AAcute]lida \ para gases ideales y en los gases reales se cumple con un alto grado de \ exactitud s\[OAcute]lo en condiciones de presi\[OAcute]n y temperaturas \ moderadas y bajas densidades del gas. A altas presiones la ley necesita \ corregirse con t\[EAcute]rminos espec\[IAcute]ficos seg\[UAcute]n la \ naturaleza del gas. Por ejemplo para un gas que satisface la ecuaci\[OAcute]n \ de Van der Waals la ley de Gay-Lussac deber\[IAcute]a escribirse como:\n\ \!\(\*FractionBox[\(P - \*SubscriptBox[\(P\), \(0\)]\), \(T\)]\)=constante\n\ El t\[EAcute]rmino \!\(\*SubscriptBox[\(P\), \(0\)]\) es una constante que \ depender\[AAcute] de la cantidad de gas en el recipiente y de su densidad, y \ para densidades relativamente bajas ser\[AAcute] peque\[NTilde]o frente a P, \ pero no para presiones grandes.", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16]}, False]], DynamicModuleValues:>{}], Setting[#, {0}]& ], "\<\"\"\>"}, { TagBox[ DynamicModuleBox[{Typeset`var$$ = True}, InterpretationBox[ StyleBox[ PaneSelectorBox[{False->GridBox[{ { OpenerBox[Dynamic[Typeset`var$$], Appearance->Automatic, AutoAction->False, ContinuousAction->False, Enabled->Automatic], StyleBox["\<\"2.3. 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Introducci\[OAcute]n", FontColor -> RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 30], Grid[{{ Style[ "Para una cierta cantidad de gas, al aumentar la temperatura, las \ mol\[EAcute]culas del gas se mueven m\[AAcute]s r\[AAcute]pidamente y por lo \ tanto aumenta el n\[UAcute]mero de choques contra las paredes por unidad de \ tiempo, es decir, aumenta la presi\[OAcute]n ya que el recipiente es de \ paredes fijas y su volumen no puede cambiar. Gay-Lussac descubi\[OAcute] que, \ en cualquier momento del proceso, el cociente entre la presion y la \ temperatura absoluta ten\[IAcute]a un valor constante.", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16], ""}, { OpenerView[{ Style["2.1 Ley Gay-Lussac", RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 24], Style[ "La ley de Gay-Lussac\:200b establece que la presi\[OAcute]n de \ un volumen fijo de un gas, es directamente proporcional a su temperatura.\n\n\ Si el volumen de una cierta cantidad de gas a presi\[OAcute]n moderada se \ mantiene constante, el cociente entre presi\[OAcute]n y temperatura (kelvin) \ permanece constante:\n\!\(\*FractionBox[\(P\), \(T\)]\)=\ \[InvisiblePrefixScriptBase]\!\(\*SubscriptBox[\(k\), \(3\)]\)\ndonde:\n\nP \ es la presi\[OAcute]n\nT es la temperatura absoluta (es decir, medida en \ kelvin)\n\!\(\*SubscriptBox[\(k\), \(3\)]\) una constante de proporcionalidad\ \n", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16]}], ""}, { Style[ "Supongamos que tenemos un gas que se encuentra a presi\[OAcute]n \ \!\(\*SubscriptBox[\(P\), \(1\)]\) y a una temperatura \!\(\*SubscriptBox[\(T\ \), \(1\)]\) al comienzo del experimento. Si variamos la temperatura hasta un \ nuevo valor \!\(\*SubscriptBox[\(T\), \(2\)]\), entonces la presi\[OAcute]n \ cambiar\[AAcute] a \!\(\*SubscriptBox[\(P\), \(2\)]\), y se cumplira:", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16], ""}, { Style[ "\!\(\*StyleBox[FractionBox[SubscriptBox[\"P\", \"1\"], \ SubscriptBox[\"T\", \"1\"]],FontFamily->\"Times New \ Roman\",FontSize->16,FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"=\",FontFamily->\ \"Times New \ Roman\",FontSize->16,FontSlant->\"Italic\"]\)\!\(\*StyleBox[FractionBox[\ SubscriptBox[\"P\", \"2\"], SubscriptBox[\"T\", \"2\"]],FontFamily->\"Times \ New Roman\",FontSize->16,FontSlant->\"Italic\"]\)\!\(\*StyleBox[\".\",\ FontFamily->\"Times New Roman\",FontSize->16,FontSlant->\"Italic\"]\)", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16], ""}, { OpenerView[{ Style[ "2.2 Validez de la ley", FontColor -> RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 24], Style[ "Estrictamente la ley de Gay-Lussac es v\[AAcute]lida para gases \ ideales y en los gases reales se cumple con un alto grado de exactitud s\ \[OAcute]lo en condiciones de presi\[OAcute]n y temperaturas moderadas y \ bajas densidades del gas. A altas presiones la ley necesita corregirse con t\ \[EAcute]rminos espec\[IAcute]ficos seg\[UAcute]n la naturaleza del gas. Por \ ejemplo para un gas que satisface la ecuaci\[OAcute]n de Van der Waals la ley \ de Gay-Lussac deber\[IAcute]a escribirse como:\n\!\(\*FractionBox[\(P - \ \*SubscriptBox[\(P\), \(0\)]\), \(T\)]\)=constante\nEl t\[EAcute]rmino \ \!\(\*SubscriptBox[\(P\), \(0\)]\) es una constante que depender\[AAcute] de \ la cantidad de gas en el recipiente y de su densidad, y para densidades \ relativamente bajas ser\[AAcute] peque\[NTilde]o frente a P, pero no para \ presiones grandes.", FontColor -> RGBColor[ 0.10980392156862745`, 0.23921568627450981`, 0.4235294117647059], FontFamily -> "Calibri", 16]}], ""}, { OpenerView[{ Style[ "2.3. Representaci\[OAcute]n gr\[AAcute]fica", FontColor -> RGBColor[ 0.33333333333333337`, 0.33333333333333337`, 0.33333333333333337`], FontFamily -> "Calibri", 24], Grid[{{ Style[ "La pendiente de la es constante." 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