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[[Boyle's law]] is a special case of the [[ideal gas law]] from which one may calculate either the pressure or the volume of gas.  It was developed by Robert Boyle in the 1660s and describes an inverse relationship between the pressure (P) and the volume (V) of a fixed amount of gas at a fixed temperature.
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[[Boyle's law]] is a special case of the [[ideal gas law]] from which one may calculate either the pressure or the volume of gas.  It was developed by [[Robert Boyle]] in the 1660s and describes an inverse relationship between the [[pressure]] (P) and the volume (V) of a fixed amount of gas at a fixed temperature.  This law is only valid if the temperature and the amount of gas is held constant.


<b>[[Boyle's law]]</b>        <math> \left(PV\right) = constant</math>     (at fixed temperature and amount of gas)
The law reads:
:<math>PV = \textrm{constant}\,</math>  
at fixed temperature and fixed amount of gas.


 
== Further reading ==
== Example Problem ==
see [[Ideal gas law]][[Category:Suggestion Bot Tag]]
Two liters of gas at 1 atm and 25C is placed under 5 atm of pressure at 25C.  What is the final volume of gas?
 
 
<math> \left(P_\mathrm{i}V_\mathrm{i}\right) = \left(constant\right) = \left(P_\mathrm{f}V_\mathrm{f}\right) </math> or
 
<math> \left(V_\mathrm{f}\right) = \left(\frac{P_\mathrm{i}V_\mathrm{i}}{P_\mathrm{f}}\right) </math>
 
<math> \left(V_\mathrm{f}\right) = \left(\frac{(1 atm)(2 L)}{(5 atm)}\right) = 0.4 L </math>
 
== Further Reading ==
see [[Ideal gas law]]
 
 
== Related topics  ==
[[Amonton's law]]
 
[[Avogadro's law]]
 
[[Boyle's law]]
 
[[Charles's law]]
 
[[Dalton's law of partial pressure]]
 
[[Gay-Lussac's law]]
 
[[Law of combining volumes]]
 
[[van der Waals equation]]
 
== References ==
"General Chemistry, 2nd Ed.", pp 103-117, D. D. Ebbing & M. S. Wrighton, Houghton Mifflin, Boston, 1987.
"General Chemistry with Qualitative Analysis, 2nd Ed.", pp. 263-278, Saunders College Publishing, Philadelphia, 1984.
 
 
[[Category:CZ Live]]
[[Category:Chemistry Workgroup]]
[[Category:Physics Workgroup]]

Latest revision as of 16:01, 20 July 2024

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Boyle's law is a special case of the ideal gas law from which one may calculate either the pressure or the volume of gas. It was developed by Robert Boyle in the 1660s and describes an inverse relationship between the pressure (P) and the volume (V) of a fixed amount of gas at a fixed temperature. This law is only valid if the temperature and the amount of gas is held constant.

The law reads:

at fixed temperature and fixed amount of gas.

Further reading

see Ideal gas law