Formula Ideal Gas Law Pressure Volume Temperature Amount of substance Gas constant
$$\mathit{\Pi} \, V ~=~ n \, R \, T$$ $$\mathit{\Pi} ~=~ \frac{n \, R \, T}{V}$$ $$V ~=~ \frac{n \, R \, T}{\mathit{\Pi}}$$ $$T ~=~ \frac{V \, \mathit{\Pi}}{n \, R}$$ $$n ~=~ \frac{V \, \mathit{\Pi}}{R \, T}$$ $$R ~=~ \frac{V \, \mathit{\Pi}}{ n \, T }$$
Pressure
$$ \mathit{\Pi} $$ Unit $$ \mathrm{Pa} = \frac{ \mathrm{N} }{ \mathrm{m}^2 } $$ This pressure is present in a confined system containing an ideal gas. According to the ideal gas law, the pressure increases when the temperature \(T\) of the gas increases or the volume \(V\) in which the gas is confined decreases.
Volume
$$ V $$ Unit $$ \mathrm{m}^3 $$ The volume of a closed system containing an ideal gas.
Temperature
$$ T $$ Unit $$ \mathrm{K} $$ It is the absolute temperature (in Kelvin) of the gas in a closed system.
Amount of substance
$$ n $$ Unit $$ \mathrm{mol} $$ The amount of substance indirectly indicates the number of gas particles. It is related to the particle number \(N\) by the Avogardo constant \(N_{\text A}\): \( n = \frac{N}{N_{\text A}} \).
Gas constant
$$ R $$ Unit $$ \frac{\mathrm J}{\mathrm{mol} \, \mathrm{K}} $$ Molar gas constant (also called universal gas constant) is a physical constant from thermodynamics and has the following exact value:$$ R ~=~ 8.314 \, 462 \, 618 \, 153 \, 24 \, \frac{\mathrm J}{\mathrm{mol} \, \mathrm{K}} $$