The gas laws give us the relation between the two variables when the third variable is constant. But in actual practice, all the three variables i.e.. pressure, volume and temperature, change simultaneously. In order to deal with all practical cases, the Boyle's law and Charles' law are combined together, which gives us a general gas equation.
According to Boyle's law ... (Keeping T constant)
![](data:image/png;base64,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)
and according to Charles' law ...(Keeping p constant)
![](data:image/png;base64,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)
It is obvious that
![](data:image/png;base64,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)
where C is a constant, whose value depends upon the mass and properties of the gas concerned. The more useful form of the general gas equation is :
![](data:image/png;base64,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)
where suffixes 1, 2 and 3 refer to different sets of conditions.
According to Boyle's law ... (Keeping T constant)
and according to Charles' law ...(Keeping p constant)
It is obvious that
where C is a constant, whose value depends upon the mass and properties of the gas concerned. The more useful form of the general gas equation is :
where suffixes 1, 2 and 3 refer to different sets of conditions.
very use full sir...
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