What is the Difference Between Gay-Lussac’s Law and Avogadro’s Law?

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Gay-Lussac's Law and Avogadro's Law are two important gas laws that describe the behavior of gases under different conditions. The key differences between them are:

  1. Gay-Lussac's Law: This law relates pressure with absolute temperature. It states that the pressure of a given mass of gas is directly proportional to its absolute temperature, provided that the volume and amount of gas remain constant. Mathematically, it can be expressed as $$\frac{P1}{T1} = \frac{P2}{T2} \text{ at constant } V \text{ and } n$$.
  2. Avogadro's Law: This law introduces the concept of the amount of gas (in moles) and states that equal volumes of different gases at the same temperature and pressure contain equal numbers of particles. Mathematically, it can be expressed as $$\frac{V1}{n1} = \frac{V2}{n2} \text{ at constant } P \text{ and } T$$.

In summary, both Gay-Lussac's Law and Avogadro's Law relate different properties of gases, with the former focusing on the relationship between pressure and temperature, while the latter focuses on the relationship between volume, particles, and moles.

Comparative Table: Gay-Lussac’s Law vs Avogadro’s Law

Here is a table comparing Gay-Lussac's Law and Avogadro's Law:

Feature Gay-Lussac's Law Avogadro's Law
Definition Gay-Lussac's Law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. Avogadro's Law states that the volume of a gas is directly proportional to the number of moles of gas in the sample, at constant temperature and pressure.
Mathematical Expression P/T = k, where P is the pressure, T is the absolute temperature, and k is a constant. V ∝ n, where V is the volume, n is the number of moles of gas, and the constant of proportionality is related to temperature and pressure.
Main Focus Relationship between pressure and temperature in a gas. Relationship between volume and the amount of gas in moles.
Applicability Applies to gases held at constant volume. Applies to gases held at constant temperature and pressure.

I hope this helps you understand the differences between these two gas laws!