Relation between Molecular Speeds

The volume of a gas molecule is little in relation to the whole volume of the container when it comes to the molecular speeds of a particle. The gas particles travel freely and with complete mobility. The force of attraction between the gaseous molecules is therefore absent.

  • The relationship between average molecular speed, root mean square speed, and most probable speed is:

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  • The ratio between average molecular speed, root mean square speed, and most probable speed is:

Molecular Speed Formula

Molecular speed is defined as the speed of the group of molecules in an ideal gas. Molecular speed is an important concept in the kinetic theory of gases. According to the kinetic theory of gases, the molecules of a gas are in constant motion and move in a straight line until they collide with another molecule. All the molecules of an ideal gas undergo elastic collision. It explains why small molecules diffuse more rapidly than large molecules. The molecular speed of a gas is directly proportional to its speed and inversely proportional to its molar mass. The molecular speed of a gas increases with an increase in the temperature of the gas. For example, Helium has the lowest molecular mass and thus has the highest molecular speed.

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Types of Molecular Speed

The concept of molecular speed states that a cluster of atoms moves at a typical rate. The particles in an ideal gas don’t come into contact with one another. Let us see different types of molecular speed and how to calculate them. Molecular speed can be of 3 types which are as follows:...

Relation between Molecular Speeds

The volume of a gas molecule is little in relation to the whole volume of the container when it comes to the molecular speeds of a particle. The gas particles travel freely and with complete mobility. The force of attraction between the gaseous molecules is therefore absent....

Maxwell Distribution of Molecular Speeds

Maxwell and Boltzmann derived an equation to find the distribution of various types of molecular speeds in a gas. The number of molecules per unit speed is indicated on the y-axis of the Maxwell-Boltzmann distribution graph. The quantity of molecules in the gas is represented by the total area under the whole curve. The peak of the graph will move to the right if we heat the gas to a greater temperature (since the average molecular speed will increase). The graph grows higher and more narrow as the gas gets colder, similar to how the graph shortens and widens as the gas heats up....

Solved Examples on Molecular Speed

Example 1: The temperature of gas with a molar mass of 2 g/mol is 900K. Calculate the root mean square speed of the particles of gas....

FAQs on Molecular Speed

Question 1: What is meant by the kinetic theory of gases?...