anonymous
  • anonymous
How are the pressure and volume of a gas related?
Physics
katieb
  • katieb
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anonymous
  • anonymous
If the gas can be considered an ideal gas (a reasonable assumption in most cases), then the ideal gas law applies\[PV=nRT\]If the temperature is constant, then the right hand side of this equation is a constant. That implies that the product of the pressure and volume is a constant.
UnkleRhaukus
  • UnkleRhaukus
Using the result above (for a certain amount of a some gas, at a certain temperature ), we might set the righthand side to equal a constant, say K \[PV = nRT = K\] Then \[P =K/V\] or equivalently \[V = K/P\] In otherwords, the pressure and volume of the gas are inversely proportional.

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