notes on combustion and gas mixtures

uni/mmme/2047_thermodynamics_and_fluid_dynamics/gas_mixtures.md

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+---
+author: Akbar Rahman
+date: \today
+title: MMME2047 // Gas Mixtures and Combustion
+tags: [ combution, gas_mixtures ]
+uuid: 5ed55ce0-e6b1-423c-90ac-96e1c8cbe43f
+---
+
+# Law of Partial _____
+
+Given that there are $i$ gas components completely mixed and occupying a
+volume $V$ at temperature $T$.
+
+## Pressure
+
+$$p = \sum_i p_i$$
+
+given that the volume $p$ and all $p_i$ are acting in are equal.
+
+## Internal Energy
+
+$$U = \sum_i U_i$$
+
+## Volumes
+
+$$V = \sum_i V_i$$
+
+given that the pressures of $V$ and all values of $V_i$ are equal.
+
+This is useful as $V \propto n$ meaning that we can use volumes to
+achieve stoichiometric (ideal) mixtures of gases for combustion reactions.
+
+# Avogadro's Number and the Mole
+
+Avogadro's Number is roughly $6.022\times10^{23}$.
+The mass in grams of this many particles of an element is pretty much equal to:
+
+- its atomic mass number
+- the number of nucleons in the nucleus