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Calculations on gay lussacs law of combining volumes

Gay-Lussac’s Law

Gay-Lussac’s Law states that the pressure of a gas is directly proportional to its temperature when the volume remains unwavering. In simpler terms, as the temperature of a gas increases, its pressure also increases, assuming the volume remains unchanged. This relationship can be expressed mathematically as P₁/T₁ = P₂/T₂, where P₁ and T₁ represent the initial pressure and temperature, and P₂ and T₂ symbolize the final pressure and temperature. This law highlights the importance of temperature control in gas-related applications, such as gas storage and transportation, to maintain desired pressure levels.

What is Gay-Lussac’s Law?

Gay-Lussac’s Law, also known as the Pressure-Temperature Law, describes the connection between the pressure and temperature of a gas when the volume remains constant. It states that the pressure of a gas is directly proportional to its temperature, assuming the volume and amount of gas remain constant.

Mathematically, Gay-Lussac’s Law can be expressed as:

P₁/T₁ = P₂/T₂

Where:

P₁ represents the initial pressure of

Explanation

(a) Gay - Lussac Law of combining volumes states that when gases react, they do so in volumes which are in straightforward ratios to one another and to the volume of the product, if gaseous, provided that the temperature and pressure remain constant.

(b) 2H\(_2\) + O\(_2\) -> 2H\(_2\)O. According to the equation, 2 volume of H\(_2\) requires 1 volume of oxygen.

50cm\(^3\) of H\(_2\) requires 25cm\(^3\) of oxygen,

volume of oxygen obtainable = 30cm\(^3\),

volume of unused oxygen 30 - 25 = 5cm\(^3\).


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Gay-Lussac's Law of Combining Gas Volumes Tutorial

Key Concepts

  • Gay-Lusac's Commandment of Combining Gas Volumes states that:
    The volume of gases taking part in a chemical reaction show simple whole number ratios to one another when those volumes are measured at the same temperature and pressure.
  • When gas A reacts with gas B to manufacture gas C at constant temperature and pressure, then the ratio of the gas volumes will be a simple whole number ratio:
    For gaseous reaction at constant temperature and pressure
    volume of Gas A : volume of Gas B : volume of Gas C
    x : y : z
    where x, y and z are all whole numbers
  • For a reaction in which all the reactants and products are gases:

    aA(g) + bB(g) → cC(g)
    The ratio of the volumes of gasses A, B and C is a:b:c

  • For a reaction in which one of more of the reactants and/or products are NOT gases, then ONLY the volume of gases will be in a simple whole number ratio.

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Gay Lussac’s Law of Combining Volumes

 

Gay Lussac’s Law of Combining Volumes states that when gases react, they do so in volumes which bear a simple ratio to one another, and to the volume of the product(s) formed if gaseous, provided the temperature and pressure remain constant.

The regulation explains experimental facts about how gaseous atoms combine. Example:

For the reactions:

(i) N2(g) + 3H2(g) → 2NH3(g)

   1 vol.    3 vols.    2 vols.

1 volume of nitrogen combines with 3 volumes of hydrogen to form 2 volumes of ammonia.

(ii) 2H2(g) + O2(g) → 2H2O(g)

     2 vols.   1 vol.     2 vols.

2 volumes of hydrogen combine with 1 volume of oxygen to form 2 volumes of steam.

(iii) Cl2(g) + H2(g) → 2HCl(g)

     1 vol.    1 vol.    2 vols.

1 volume of chlorine gas combines with 1 volume of hydrogen to form 2 volumes of hydrochloric acid.

Question: Consider the reaction: 2H2(g) + O2(g) → 2H