V✓n ....... Avogadro's law
V✓T........Charles law
V✓1/P.......Boyle's law
Combining the three
V✓nT/P
✓ is proportionality symbol.
V= RnT/P
Where R= proportionality constant also called gas constant.
PV= nRT
R= PV/nT.
Using the stp ( standard temperature and pressure value).
R= (1atm)(22.4dm³)/(1mol)(273K)
R= 0.08205atmdm³mol^-1K^-1.
Using SI units .
R= PV/nT.
R= (101325N/m²)(22400×10^-6m³)/(1mol)(273K)
R= 8.314Nmmol^-1K^-1.
But Nm = J ....that is 1 joule = 1 Newton×1 meter .
Therefore R=8.314Jmol^-1K^-1.
#Jamb2022
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