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Untitled - Kelly Walsh High School

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82 CHEMISTRY FOR THE UTTERLY CONFUSED<br />

TABLE 5-1 Gas Laws<br />

Name of Law Held Constant Variables Relationship<br />

Combined gas law Amount (n) Pressure, volume, (P 1V 1)/T 1 <br />

and temperature (K) (P 2V 2)/T 2<br />

Boyle’s law Temperature (T) Volume and pressure P 1V 1 P 2V 2<br />

and amount (n)<br />

Charles’ law Pressure (P) and Volume and V 1/T 1 V 2/T 2<br />

amount (n) temperature (K)<br />

Gay-Lussac’s law Volume (V) and Pressure and P 1/T 1 P 2/T 2<br />

amount (n) temperature (K)<br />

Avogadro’s law Pressure (P) and Volume and amount V 1/n 1 V 2/n 2<br />

temperature (T)<br />

Don’t Forget!<br />

It is possible to combine Avogadro’s law and the combined gas law to produce<br />

the ideal gas equation, which incorporates the pressure, volume, temperature,<br />

and amount relationships of a gas. The ideal gas equation has the form of<br />

PV nRT<br />

The terms in this equation are:<br />

P pressure of the gas in units such as atm, torr, mm Hg, Pa.<br />

V volume of the gas in units such as L, mL.<br />

n number of moles of gas<br />

T Kelvin temperature<br />

R ideal gas constant: 0.0821 Latm/Kmol (for most problems)<br />

The value for R is 0.0821 Latm/Kmol if the volume is expressed in liters, the<br />

pressure in atmospheres, and the temperature in Kelvin (naturally). You could<br />

calculate another ideal gas constant based upon different units of pressure and<br />

volume, but the simplest thing to do is to use the 0.0821 and convert the given<br />

volume to liters and the pressure to atm. (The temperature must be in Kelvin<br />

in any case.)<br />

The temperatures must be expressed in Kelvin.

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