Combined gas law

From Wikipedia, the free encyclopedia

The combined gas law is a gas law which combines Charles's law, Boyle's law, and Gay-Lussac's law. In each of these laws, pressure, temperature, and volume, respectively, must remain constant for the law to be true. In the combined gas law, any of these properties can be found mathematically.

The law states that:

The product of the volume of a gas and its pressure over the temperature is equal to a constant.

Expressed mathematically, the formula is:

\frac{{p}{V}}{T}=r

where:

p is the pressure.
V is the volume.
T is the temperature (measured in kelvin in SI units).
r is a constant.

For comparing the same substance under two different sets of conditions, the law can be written as:

\qquad \frac {p_1V_1}{n_1T_1}= \frac {p_2V_2}{n_2T_2}

We can however remove \qquad {n} from the equation because it is constant when changing only the conditions, to make:

\qquad \frac {P_1V_1}{T_1}= \frac {P_2V_2}{T_2}

The addition of Avogadro's law to the combined gas law yields the ideal gas law.

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