# Ideal gases

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## Standard molar volume

For one mole of an ideal gas:
$V=R.Tp with n = 1$

For all ideal gases, one mole of gas takes up a volume of 22.4141 $L.$ on when the pressure is 1.013 $bar$ = 1 $atm$ and the temperature 0 $° C$ amounts to. This volume is called the standard molar volume.

Unfortunately the temperature corresponds to 0 $° C$ not the standard thermodynamic temperature of 25 $° C$. The molar volume of the latter is 24.47 $L.$.

From the general gas equation, a conversion formula for changed conditions can be set up for a certain amount of gas under known conditions. the end

Condition 1
$p1⋅V1=n⋅R.⋅T1$
Condition 2
$p2⋅V2=n⋅R.⋅T2$
is obtained by eliminating $n⋅R.$
$p1⋅V1T1=p2⋅V2T2$