The Ideal Gas Law Pressure, Volume, Temperature, and Moles

The relationships covered so far can be combined into a single law that encompasses all of them. So far, we know fhaf  

The volume of a gas is directly proportional to the number of moles of gas and fhe femperafure of the gas and is inversely proportional to the pressure of the gas. We can replace the proportional sign with an equal sign by adding R, a proportionality constant called the ideal gas constant. 

IR can also be expressed in other units, but its numericai vaiue wiii be different. 

The ideal gas law contains within it the simple gas laws tiiat we have learned. For example, recall that Boyle s law states that V oc 1/P when the amoimt of gas (n) and the temperature of the gas (T) are kept constant. To derive Boyle s law, we can rearrange the ideal gas law as follows  

Since n and T are constant in this case and since R is always a constant, 

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The Ideal Gas Law Pressure, Volume, Temperature, and Moles I 381 RELATIONSHIPS USED... 

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