Work: Difference between revisions

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(New page: The mechanical '''work''', ''W'', performed in ''compressing'' a gas is given by :<math>W = - \int_\alpha^\beta p ~dV</math> where <math>\alpha</math> and <math>\beta</math> are points i...)
 
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where <math>\alpha</math> and <math>\beta</math> are points in state space, ''p'' is the [[pressure]]
where <math>\alpha</math> and <math>\beta</math> are points in state space, ''p'' is the [[pressure]]
and ''V'' is the volume.
and ''V'' is the volume.
For reversible changes
:<math>\left.dW\right.=-PdV  </math>
and for irreversible changes
:<math>\left.dW\right. > -PdV </math>
[[category: classical thermodynamics]]
[[category: classical thermodynamics]]

Revision as of 12:11, 21 June 2007

The mechanical work, W, performed in compressing a gas is given by

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle W = - \int_\alpha^\beta p ~dV}

where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta} are points in state space, p is the pressure and V is the volume.

For reversible changes

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left.dW\right.=-PdV }

and for irreversible changes

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left.dW\right. > -PdV }