User:Tohline/SR/EOS - Revision history

Tohline: /* Ideal Gas */ inserted definition of gas constant

2010-01-24T07:06:33Z

<span id="EOS:IdealGas">Ideal Gas</span>: inserted definition of gas constant

← Older revision		Revision as of 07:06, 24 January 2010
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	of the ideal gas equation of state<br />		of the ideal gas equation of state<br />

	{{User:Tohline/Math/EQ_EOSideal0A}} .		{{User:Tohline/Math/EQ_EOSideal0A}} ,
	</div>		</div>
			where the gas constant, {{User:Tohline/Math/C_GasConstant}} <math>\equiv</math> {{User:Tohline/Math/C_BoltzmannConstant}}{{User:Tohline/Math/C_AvogadroConstant}}.



	{{LSU_HBook_footer}}		{{LSU_HBook_footer}}

Tohline: /* Ideal Gas */ minor wording change

2010-01-24T06:52:36Z

<span id="EOS:IdealGas">Ideal Gas</span>: minor wording change

← Older revision		Revision as of 06:52, 24 January 2010
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	===<span id="EOS:IdealGas">Ideal Gas</span>===		===<span id="EOS:IdealGas">Ideal Gas</span>===
	~~In Wikipedia, the~~ ideal gas equation of state is referred to as the [http://en.wikipedia.org/wiki/Ideal_gas_law ideal gas law]. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,		The ideal gas equation of state is referred to as the [http://en.wikipedia.org/wiki/Ideal_gas_law ideal gas law] in Wikipedia. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,
	<div align="center">		<div align="center">
	<math>P = \biggl( \frac{N}{V} \biggr) kT</math>		<math>P = \biggl( \frac{N}{V} \biggr) kT</math>

Tohline: Fix span id

2010-01-24T06:50:37Z

Fix span id

← Older revision		Revision as of 06:50, 24 January 2010
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	==Equations of State==		==Equations of State==

	===<span id="EOS:IdealGas>Ideal Gas</span>===		===<span id="EOS:IdealGas">Ideal Gas</span>===
	In Wikipedia, the ideal gas equation of state is referred to as the [http://en.wikipedia.org/wiki/Ideal_gas_law ideal gas law]. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,		In Wikipedia, the ideal gas equation of state is referred to as the [http://en.wikipedia.org/wiki/Ideal_gas_law ideal gas law]. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,
	<div align="center">		<div align="center">

Tohline: extend discussion to "Form A"

2010-01-24T06:48:39Z

extend discussion to "Form A"

← Older revision		Revision as of 06:48, 24 January 2010
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	<math>P = \biggl( \frac{N}{V} \biggr) kT</math>		<math>P = \biggl( \frac{N}{V} \biggr) kT</math>
	</div>		</div>
	where {{User:Tohline/Math/VAR_Pressure01}}, {{User:Tohline/Math/VAR_Temperature01}} and {{User:Tohline/Math/C_BoltzmannConstant}} are as we have defined them in our accompanying [http://www.vistrails.org/index.php/User:Tohline/Appendix/Variables_templates variables appendix], and the ratio <math>(N/V)</math> specifies the number density of free particles that make up the gas. The number density of free particles also can be written as a ratio of the mass density, {{User:Tohline/Math/VAR_Density01}}, to the average mass per particle, <math>\bar{m}</math>, that is, the ideal gas equation of state may be written in the form,		where {{User:Tohline/Math/VAR_Pressure01}}, {{User:Tohline/Math/VAR_Temperature01}} and {{User:Tohline/Math/C_BoltzmannConstant}} are as we have defined them in our accompanying [http://www.vistrails.org/index.php/User:Tohline/Appendix/Variables_templates variables appendix], and the ratio <math>(N/V)</math> specifies the number density of free particles that make up the gas. The number density of free particles also can be written as a ratio of the mass density, {{User:Tohline/Math/VAR_Density01}}, to the average mass per free particle, <math>\bar{m}</math>, that is, the ideal gas equation of state may be written in the form,
	<div align="center">		<div align="center">
	<math>P = \biggl( \frac{\rho}{\bar{m}} \biggr) kT</math> ~~ ~~ .		<math>P = \biggl( \frac{\rho}{\bar{m}} \biggr) kT</math> .
			</div>
			It is customary in astrophysical discussions to write the average mass per free particle as {{User:Tohline/Math/MP_MeanMolecularWeight}}<math>m_u</math>, that is, as a product of the atomic mass unit, <math>m_u</math> = 1/{{User:Tohline/Math/C_AvogadroConstant}}, and a dimensionless coefficient of order unity referred to as the the mean molecular weight, {{User:Tohline/Math/MP_MeanMolecularWeight}}. This leads to what we will refer to as,

			<div align="center">
			<font color="red">Form A</font><br />
			of the ideal gas equation of state<br />

			{{User:Tohline/Math/EQ_EOSideal0A}} .
	</div>		</div>

Tohline: Draw on the Wikipedia discussion of the Ideal_gas_law

2010-01-24T06:29:07Z

Draw on the Wikipedia discussion of the Ideal_gas_law

← Older revision		Revision as of 06:29, 24 January 2010
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	===<span id="EOS:IdealGas>Ideal Gas</span>===		===<span id="EOS:IdealGas>Ideal Gas</span>===
			In Wikipedia, the ideal gas equation of state is referred to as the [http://en.wikipedia.org/wiki/Ideal_gas_law ideal gas law]. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,
			<div align="center">
			<math>P = \biggl( \frac{N}{V} \biggr) kT</math>
			</div>
			where {{User:Tohline/Math/VAR_Pressure01}}, {{User:Tohline/Math/VAR_Temperature01}} and {{User:Tohline/Math/C_BoltzmannConstant}} are as we have defined them in our accompanying [http://www.vistrails.org/index.php/User:Tohline/Appendix/Variables_templates variables appendix], and the ratio <math>(N/V)</math> specifies the number density of free particles that make up the gas. The number density of free particles also can be written as a ratio of the mass density, {{User:Tohline/Math/VAR_Density01}}, to the average mass per particle, <math>\bar{m}</math>, that is, the ideal gas equation of state may be written in the form,
			<div align="center">
			<math>P = \biggl( \frac{\rho}{\bar{m}} \biggr) kT</math>   .
			</div>

Tohline: add "id" tag to "Ideal Gas" subsection

2010-01-24T04:49:56Z

add "id" tag to "Ideal Gas" subsection

← Older revision		Revision as of 04:49, 24 January 2010
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	==Equations of State==		==Equations of State==
	===Ideal Gas===
			===<span id="EOS:IdealGas>Ideal Gas</span>===

Tohline: Create page in which to discuss equations of state

2010-01-24T04:47:37Z

Create page in which to discuss equations of state

New page

__FORCETOC__
{{LSU_HBook_header}}

==Equations of State==
===Ideal Gas===

{{LSU_HBook_footer}}