SR/Piston: Difference between revisions
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<font size="-1">[[H_BookTiledMenu#Context|<b>KW94<br />Piston Model</b>]]</font> | <font size="-1">[[H_BookTiledMenu#Context|<b>KW94<br />Piston Model</b>]]</font> | ||
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Here we draw principally from the discussion of a simple piston model as presented in §2.7 and §6.6 of [<b>[[Appendix/References#KW94|<font color="red">KW94</font>]]</b>]. | Here we draw principally from the discussion of a simple piston model as presented in §2.7 and §6.6 of [<b>[[Appendix/References#KW94|<font color="red">KW94</font>]]</b>]. | ||
An ''[[SR#Time-Independent_Problems|ideal gas]]'' of mass <math>m^*</math> is held in a vertical container with a movable piston resting on top of — and confining — the gas; the mass of the piston is <math>M^*</math>. A vertically directed gravitational acceleration, <math>g</math>, acts on the piston, in which case the weight of the piston is given by the expression, | |||
<div align="center"><math>G^* = g M^*.</math></div> | |||
<font color="darkgreen">"In the case of hydrostatic equilibrium, the gas pressure <math>P</math> adjusts in such a way that the weight per unit area is balanced by the pressure:"</font> | |||
<div align="center"><math>P = \frac{G^*}{A}.</math></div> | |||
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Revision as of 13:38, 12 March 2026
Piston Model
Here we draw principally from the discussion of a simple piston model as presented in §2.7 and §6.6 of [KW94].
An ideal gas of mass is held in a vertical container with a movable piston resting on top of — and confining — the gas; the mass of the piston is . A vertically directed gravitational acceleration, , acts on the piston, in which case the weight of the piston is given by the expression,
"In the case of hydrostatic equilibrium, the gas pressure adjusts in such a way that the weight per unit area is balanced by the pressure:"
See Also
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