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| − | The '''ideal gas law''', is an [[equation of state]] for an ideal gas. It combines three [[gas]] laws ([[Dalton's Law of Partial Pressures|Dalton's Law]], [[Boyle's Law]] and [[Charles' Law]]) into one equation: | + | The '''ideal gas law''', is an equation of state for an ideal gas. It combines three [[gas]] laws ([[Dalton's Law of Partial Pressures|Dalton's Law]], [[Boyle's Law]] and [[Charles' Law]]) into one equation: |
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| | :<math>PV = nRT</math> | | :<math>PV = nRT</math> |
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| | *''T'' the absolute [[temperature]] (meaning it must be in [[Kelvin]] or [[Rankine]]); | | *''T'' the absolute [[temperature]] (meaning it must be in [[Kelvin]] or [[Rankine]]); |
| | *''n'' is the number of [[Mole (chemistry)|moles]] of the gas occupying the volume V; | | *''n'' is the number of [[Mole (chemistry)|moles]] of the gas occupying the volume V; |
| − | *''R'' is the [[gas constant]]. | + | *''R'' is the ideal gas constant. |
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| − | The gas constant can be expressed in any number of units, but the most common representations are <math>0.0821\,L \cdot atm \cdot mole^{-1} \cdot K^{-1}</math> or <math>8.314\,J \cdot mole^{-1} \cdot K^{-1}</math> | + | The ideal gas constant can be expressed in any number of units, but the most common representations are <math>0.0821\,L \cdot atm \cdot mole^{-1} \cdot K^{-1}</math> or <math>8.314\,J \cdot mole^{-1} \cdot K^{-1}</math> |
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| | ==Ideal Gas== | | ==Ideal Gas== |
| − | The equation is valid only for an ideal gas, the hypothetically perfect embodiment of a gas in which the particles ([[atom]]s or [[molecule]]s) in the gas are spherical, identical, have no [[volume]], and experience no intermolecular forces between them. All collisions between the particles or the particles and the container are perfectly [[elastic collision|elastic]]. | + | |
| | + | The equation is valid only for an ideal gas, the hypothetically perfect embodiment of a gas in which the particles ([[atom]]s or [[molecule]]s) in the gas are point particles (have no [[volume]]) and experience no intermolecular forces. All collisions between the particles or the particles and the container are perfectly elastic. |
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| | Since this is just a model, real gases only obey the ideal gas law approximately, not perfectly. Generally, the ideal gas assumption is accurate for unreactive gases at high temperature and/or low pressure. A good rule of thumb is that the assumption can be used above room temperature and below 1 [[atmosphere]] of pressure. | | Since this is just a model, real gases only obey the ideal gas law approximately, not perfectly. Generally, the ideal gas assumption is accurate for unreactive gases at high temperature and/or low pressure. A good rule of thumb is that the assumption can be used above room temperature and below 1 [[atmosphere]] of pressure. |
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| | ==Density== | | ==Density== |
| − | With the molar mass (''M''), the ideal gas law can be used to calculate the [[density]] of a gas, ''d''. | + | With the molar mass (''M''), the ideal gas law can be used to calculate the [[density]] of a gas, <math>\rho</math>. |
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| − | :<math>PM=dRT</math> | + | :<math>PM= \rho RT</math> |
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| | [[Category:Physics]] | | [[Category:Physics]] |
| | [[Category:Chemistry Laws and Principles]] | | [[Category:Chemistry Laws and Principles]] |