Gay Lussac’s Law Of Gaseous Volumes

We are aware that a variety of kinds of gases surround the Earth. It is also known as air. Although one can’t observe air through unaided eyes, the air can be felt, i.e., it is present and perceived when we feel the wind’s roar. Therefore, gases are necessary for all living creatures to grow and survive. In this article, we will discuss the features of a gas, for instance, Gay Lussac Law.

According to Gay Lussac Law, the pressure produced by the gas that is well-known in mass and its volume, when maintained constant, varies with gas temperatures gas. This is why it is among the top significant characteristics of gas. 

Put forth in 1808 by Joseph Gay Lussac, a French Scientist, his groundbreaking research and work to analyse the various characteristics of gases led to the development of advanced analytical and synthesis techniques in chemistry. It is one of the four ideal gas laws proposed.

Gay Lussac’s law of gaseous volume definition

A prime illustration of the law of Gay Lussac is evident in the propane tanks we use to grill our barbecues. To keep track of the gas remaining within the tank, we use gauges that gauge the pressure inside the tank. This allows them to keep track of the quantity of gas left. The gauge detects greater pressure when the air temperature is high. This means that the temperature of the air has to be considered before refilling tanks with propane.

Thus, we can have Gay Lussac’s law of gaseous volume definition as:

P ∝ T

Here, P is the gas’s pressure

T is the temperature of the gas

The volume remains constant

Utilising this formula, we could declare that the pressure generated on the gas directly correlates to its absolute temperature. The formula could be further simplified by

P = kT

P here is the gas’ pressure

T is the temperature of gas.

K is the constant of proportionality (to distant the proportionality)

Based on the illustration and using the equation of Gay Lussac Law, we can draw the next comparisons.

Y = P

X = T

K = slope of the graph = y/x = P T

P is the gas’ pressure

T is the temperature of the gas.

Formula and Derivation

Gay-Lussac’s law states that the ratio of initial temperature and pressure is the same as that of the ratio between the pressure and temperature at the end for gas with an unchanging mass kept at a constant level. The formula can be described in the following manner:

(P1/T1) = (P2/T2)

where:

• P1 is the pressure at which you first start.

• T1 is the temperature that is at the beginning

• P2 is the pressure at which you will be the last to go.

• T2 is the temperature that is at the top.

This expression can be deduced from the proportionality between pressure and temperature of gas. Because P and T is for gases that have a fixed mass and the same volume,

Pressure at the initial point / temperature at the initial point = constant 

Pi/Ti = k 

Pressure at the final point / Temperature at the final point = constant

Pf/Tf = K 

Therefore, PiTf = PfTi or Pi/Ti = Pf/Tf = k

Gay Lussac’s Law of Gaseous Volumes

As mentioned above, the Law of Gaseous Volumes was created by Joseph Louis Gay-Lussac in 1808. Per this law, measured at the same pressure and temperature, the proportion of the gas volumes that react are small numbers. This is an alternative to the law of certain proportions. This law applies to volume, whereas the law of definite proportion refers to mass.

For instance, let 200 ml of hydrogen react with 100 ml of oxygen. By applying Gay Lussac’s law, we can estimate the volume of water (gas). However, all must be gaseous as Gay Lussac’s laws only apply to gases. If 200 ml of hydrogen reacts with oxygen 100 ml, then 200ml liquid water (gas) can be created as per the equation above.

How can we depict Gay Lussac’s laws on graphs?

Mathematically, Gay Lussac’s Law can be represented by

P = kT

When we compare this equation, we can see that

if Y = mX, we can calculate Y = P with m = k and X = T.

K is inversely proportional to volume. Therefore, we find that the slope decreases as the volume increases.

 If V4>V3>V2>V1