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Lect_22_IdealGasLaws-KineticTheoryOfGasses(1)

Lect_22_IdealGasLaws-KineticTheoryOfGasses(1) - Lecture 22...

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Lecture 22 Equations of state. The ideal gas. Kinetic model of a gas.
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State variables State variables for a system: they characterize the system macroscopically at a given time. • Pressure • Temperature • Volume • Mass or moles Important: a system is in a thermal state that can be described by these variables when ALL the system has uniform pressure, temperature, etc. Example: Gas in a tube whose ends are kept at different temperature is NOT in a thermal state.
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Equation of state Can be obtained: Empirically From statistical mechanics The equation of state relates the state variables.
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The ideal gas An ideal gas is one whose molecules • are very small (point-like) • do not interact with one another This is very true for any gas that is not in an “extreme” situation. The gas is NOT ideal if we have: • high density • high pressure • near transition to liquid (or solid) • molecules are very large
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The ideal gas state equation pV nRT = n = number of moles Ideal gas constant R = 8.31 J mol K What is mole?
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