3: Conservation of Mass
- Page ID
- 81482
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)
- 3.1: Four Questions
- The four questions that must be answered to develop an accounting equation for any property. How to answer these questions for the property of mass.
- 3.2: Mass Flow Rate
- Calculating the mass flow rate out of a system. Includes several worked examples.
- 3.3: Conservation of Mass Equation
- How to apply the conservation of mass equation to analyze steady-state systems, incompressible substances, and systems with one-dimensional flow with uniform density at a flow boundary. Includes multiple worked examples.
- 3.4: Mixture Composition
- Specifying quantities of substances within a system, using the concept of molar mass. Analysis of mixture composition on a mass basis and a molar basis, and conversion between the two.
- 3.5: Accounting of Chemical Species
- Accounting for systems of chemical species through conservation of mass, in systems both with and without chemical reactions. Includes multiple worked examples.
- 3.6: Density, Specific Volume, Specific Weight, and Specific Gravity
- Defining the concepts of density, specific volume, specific weight, and specific gravity.
- 3.7: Constitutive Equations
- Overview of constitutive relations and how they can be used to describe a system more fully than just in terms of conservation of mass and accounting of chemical species.
- 3.8: Ideal Gas Model - A Useful Constitutive Relation
- Discussion of the ideal gas model, in both its mass and molar forms, as a useful constitutive relation.