Work: Difference between revisions

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For reversible changes
For reversible changes


:<math>\left.dW\right.=-PdV </math>
:<math>\left.dW\right.=-p~dV </math>


and for irreversible changes
and for irreversible changes


:<math>\left.dW\right. > -PdV </math>
:<math>\left.dW\right. > -p~dV </math>


[[category: classical thermodynamics]]
[[category: classical thermodynamics]]

Revision as of 12:12, 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.=-p~dV }

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. > -p~dV }