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Gay-Lussac's Law states that the ratio of absolute pressure to the absolute temperature remains constant for a fixed volume and a fixed mass or moles of an Ideal Gas. The Ideal Gas Law gives:
PV = nRT
P/T = nR/V = kGL
The constant in Gay-Lussac's Law depends upon the moles of gas and volume occupied by that gas
and is given by :
kGL = nR/V
where
n = moles of gas
R = universal gas constant
V = volume.
For one mole of Ideal Gas at occupying 22.4 liters, the constant ( kGL ) would be :
kGL = ( n )( R ) / ( V )
kGL = ( 1.0 gmol ) ( 0.08206 atm - L / gmol -K ) / ( 22.4 L )
kGL = 0.003663 atm / K .
ANSWER: kGL = nR/V
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