Gay Lussac’s Law states that the pressure of a given mass of a gas varies directly with absolute temperature of the gas when the volume is kept constant. In other words, we can say that at constant volume for a given mass of a gas pressure is directly proportional to temperature. It means when temperature will increase, pressure will also increase. It can be expressed as follows –
P ∝ T (when V = constant)
On removing proportionality –
P = kT -----------(1)
Where P = pressure exerted by the gas
K = constant
T = absolute temperature of the gas
Ideal Gas Equation –
PV = nRT ----------(2)
On keeping the value of P from equation (1) to (2) –
kTV = nRT
k = nR/V
k ∝ 1/V -------------(3)
From equation (3), it means when volume will increase k will decrease.
Mathematical formula or expression for Gay Lussac’s law can be written as –
P = kT
Now on comparing the above equation with Y = mX, we get Y = P, m = k and X = T so it can be illustrated by graph as given below – image will be uploaded soon.
Blue line or slope in the above graph represents k which is inversely proportional to volume (from equation 3). So, if we increase the volume, the slope will decrease. If V4>V3>V2>V1 then for all these volumes graph between pressure and temperature can be represented as given below – image will be uploaded soon.
Law of Gaseous Volumes was proposed by Joseph Louis Gay-Lussac in 1808. According to this law when measured at the same temperature and pressure, the ratio of the volumes of reacting gases are small whole numbers. This can be considered as a different form of law of definite proportions. As this law is with respect to volume while law of definite proportion is with respect to mass.
Example - Images will be uploaded soon.
If 200ml of hydrogen is reacting with 100ml of oxygen then by using Gay Lussac’s law we can calculate how much amount of water(gas) will form. But all should be in gaseous form as Gay lussac’s law is applicable on gases only. If 200ml of hydrogen is reacting with 100ml of oxygen then according to the above equation 200ml of water (gas) will be produced.
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