Constant-Pressure Heat Capacity-Molar Basis

------ %%Navigation: start %% Category: [[Glossary]] → [[Variable]] %%-%% %%FindLinks: start %% | Inlinks (0) | Outlinks (8) | |---|---| | | [$\boldsymbol{M}[\pu{kg},\pu{g},lb_{m}]$](Glossary/Dimension/Mass.md) | | | [$\boldsymbol{L}[\pu{m},\pu{cm},\pu{ft}]$](Glossary/Dimension/Length.md) | | | [$\boldsymbol{T}[\pu{K,\degree{C},\degree{F},\degree{R}}]$](Glossary/Dimension/Temperature.md) | | | [$\boldsymbol{t}[\pu{s}]$](Glossary/Dimension/Time.md) | | | [$\boldsymbol{N}[\pu{kg-mol},\pu{g-mol},\pu{lb-mol}]$](Glossary/Dimension/Amount%20of%20Substance.md) | | | [$\boldsymbol{F}[\pu{N},\pu{dyn},\pu{lb_{f}}]$](Glossary/Dimension/Sub_Dimension/Force.md) | | | [${\boldsymbol{E}}[\pu{J},\pu{erg},\pu{Btu}]$](Glossary/Dimension/Sub_Dimension/Energy.md) | | | [[Glossary.md]] | %%+%% -------- > [!multi-column|center] > > > [!metaBind]- # Parent Variable > > ```meta-bind > INPUT[inlineListSuggester(showcase, optionQuery("Glossary"), useLinks(partial)):mathLink-blocks["ParentVariable"]] > > ``` > > > [!metaBind]- # Definition > > ```meta-bind > INPUT[editor(showcase):definition] > >``` > ```ad-def title: Definition Constant-Pressure Heat Capacity-Molar Basis null ``` ^definition # Main > [!metaBind]- > ```meta-bind INPUT[editor(showcase):mathLink] >``` ${\color{NavyBlue}C}_{p_{m}}[\pu{J//kg-mol*K}, \pu{Btu//lb-mol*\degree{F}}]$ ^mathLink > [!multi-column|center] > > > [!metaBind]- ## Alternate Notation > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation"]] > >``` > > > [!metaBind]- ## Alternate Notation1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation1"]] > >``` > > > [!metaBind]- ## Alternate Notation2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["AltNotation2"]] > >``` > ${\color{NavyBlue}C}_{p}[\pu{J//kg-mol*K}, \pu{Btu//lb-mol*\degree{F}}]$ ^AltNotation `VIEW[{mathLink-blocks["AltNotation1"]}][text(renderMarkdown)]` ^AltNotation1 `VIEW[{mathLink-blocks["AltNotation2"]}][text(renderMarkdown)]` ^AltNotation2 # Dimensions ## Dynamic > [!multi-column|center] > > > [!MetaBind]- Dimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Dimensions"]] > >``` > > > [!MetaBind]- LinkedDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedDimensions"]] > >``` > [!theorem] Dynamic Dimensions > %% display: $\left[ \frac{\boldsymbol{M}\boldsymbol{L}^2}{\boldsymbol{N}\boldsymbol{\theta}\boldsymbol{T}^2} \right]$ %% > $[lt;/span>[$\boldsymbol{M}$](Mass#^Dimensions)$\cdot$[$\boldsymbol{L}$](Length#^Dimensions)2/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{T}$](Time#^Dimensions)2$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> > > ^Dimensions $[lt;/span>[$\boldsymbol{M}$](Mass#^Dimensions)$\cdot$[$\boldsymbol{L}$](Length#^Dimensions)2/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{T}$](Time#^Dimensions)2$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> ^LinkedDimensions ## Static > [!multi-column|center] > > > [!metaBind]- StaticDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["StaticDimensions"]] > >``` > > > [!metaBind]- LinkedStaticDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedStaticDimensions"]] > >``` > > [!theorem] Static Dimensions > %% display: $\left[ \frac{\boldsymbol{F}\boldsymbol{L}}{\boldsymbol{{\theta}}\boldsymbol{N}} \right]$ %% > $[lt;/span>[$\boldsymbol{F}$](Force#^StaticDimensions)$\cdot$[$\boldsymbol{L}$](Length#^Dimensions)/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> > > ^StaticDimensions $[lt;/span>[$\boldsymbol{F}$](Force#^StaticDimensions)$\cdot$[$\boldsymbol{L}$](Length#^Dimensions)/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> ^LinkedStaticDimensions ## Thermodynamic > [!multi-column|center] > > > [!metaBind]- ThermodynamicDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["ThermodynamicDimensions"]] > >``` > > > [!metaBind]- LinkedThermodynamicDimensions > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedThermodynamicDimensions"]] > >``` > > [!theorem] Thermodynamic Dimensions > %% display: $\left[ \frac{\boldsymbol{E}}{\boldsymbol{{\theta}}\boldsymbol{N}} \right]$ %% > $[lt;/span>[$\boldsymbol{E}$](Energy#^ThermodynamicDimensions)/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> > > ^ThermodynamicDimensions $[lt;/span>[$\boldsymbol{E}$](Energy#^ThermodynamicDimensions)/[$\boldsymbol{\theta}$](Temperature#^Dimensions)$\cdot$[$\boldsymbol{N}$](Amount%20of%20Substance#^Dimensions)$]lt;/span> ^LinkedStaticDimensions # Units > [!multi-column|center] > > > [!metaBind]- ## MKS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["MKS"]] > >``` > > > [!metaBind]- ## CGS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["CGS"]] > >``` > > > [!metaBind]- ## FPS > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["FPS"]] > >``` ${\color{NavyBlue}C}_{p_{m}}[\pu{J//kg-mol*K}]$ ^MKS `VIEW[{mathLink-blocks["CGS"]}][text(renderMarkdown)]` ^CGS ${\color{NavyBlue}C}_{p_{m}}[\pu{Btu//lb-mol*K}]$ ^FPS # Formulas > [!multi-column|center] > > > [!metaBind]- Formula > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula"]] > >``` > > > [!metaBind]- LinkedFormula > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula"]] > >``` > > [!theorem] Formula > %% display: null %% > null > > ^Formula null ^LinkedFormula ## 1 > [!multi-column|center] > > > [!metaBind]- Formula1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula1"]] > >``` > > > [!metaBind]- LinkedFormula1 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula1"]] > >``` > > [!theorem] Formula1 > %% display: null %% > null > > ^Formula1 null ^LinkedFormula1 ## 2 > [!multi-column|center] > > > [!metaBind]- Formula2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula2"]] > >``` > > > [!metaBind]- LinkedFormula2 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula2"]] > >``` > > [!theorem] Formula2 > %% display: null %% > null > > ^Formula2 null ^LinkedFormula2 ## 3 > [!multi-column|center] > > > [!metaBind]- Formula3 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula3"]] > >``` > > > [!metaBind]- LinkedFormula3 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula3"]] > >``` > > [!theorem] Formula3 > %% display: null %% > null > > ^Formula3 null ^LinkedFormula3 ## 4 > [!multi-column|center] > > > [!metaBind]- Formula4 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula4"]] > >``` > > > [!metaBind]- LinkedFormula4 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula4"]] > >``` > > [!theorem] Formula4 > %% display: null %% > null > > ^Formula4 null ^LinkedFormula4 ## 5 > [!multi-column|center] > > > [!metaBind]- Formula5 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["Formula5"]] > >``` > > > [!metaBind]- LinkedFormula5 > > ```meta-bind > INPUT[editor(showcase):mathLink-blocks["LinkedFormula5"]] > >``` > > [!theorem] Formula5 > %% display: null %% > null > > ^Formula5 null ^LinkedFormula5