Pvillage.org

# What is Maxwell distribution of molecular speed?

## What is Maxwell distribution of molecular speed?

The Maxwell-Boltzmann distribution is often represented with the following graph. The y-axis of the Maxwell-Boltzmann graph can be thought of as giving the number of molecules per unit speed. So, if the graph is higher in a given region, it means that there are more gas molecules moving with those speeds.

What does the Maxwell-Boltzmann distribution show?

The Maxwell–Boltzmann distribution describes the distribution of speeds among the particles in a sample of gas at a given temperature. The distribution is often represented graphically, with particle speed on the x-axis and relative number of particles on the y-axis.

What is Maxwell distribution curve?

The Maxwell’s distribution curve is a graph of the number of gas molecules versus the velocity that a molecule can have. The y axis represents the number of molecules and the x axis represents the velocity of the molecules. Therefore, the area under the curve represents the total number of molecules of the given gas.

### How does temperature affect Maxwell-Boltzmann distribution?

Figure 2 shows how the Maxwell-Boltzmann distribution is affected by temperature. At lower temperatures, the molecules have less energy. Therefore, the speeds of the molecules are lower and the distribution has a smaller range. As the temperature of the molecules increases, the distribution flattens out.

What is Maxwell distribution law?

Maxwell-Boltzmann distribution, also called Maxwell distribution, a description of the statistical distribution of the energies of the molecules of a classical gas. The distribution function implies that the probability dP that any individual molecule has an energy between E and E + dE is given by dP = fM–BdE.

What affects Maxwell-Boltzmann distribution?

from OpenStax. Figure 2 shows how the Maxwell-Boltzmann distribution is affected by temperature. At lower temperatures, the molecules have less energy. Therefore, the speeds of the molecules are lower and the distribution has a smaller range. As the temperature of the molecules increases, the distribution flattens out.

#### What are 3 factors that affect the rate of a chemical reaction?

The rate of a chemical reaction is influenced by many different factors, including reactant concentration, surface area, temperature, and catalysts.

How is the Maxwell-Boltzmann distribution broadened at higher speeds?

Figure 2: The Maxwell-Boltzmann distribution is shifted to higher speeds and is broadened at higher temperatures. from OpenStax. Figure 3 shows the dependence of the Maxwell-Boltzmann distribution on molecule mass.

How is the chi distribution related to the Boltzmann distribution?

Mathematically, the Maxwell–Boltzmann distribution is the chi distribution with three degrees of freedom (the components of the velocity vector in Euclidean space), with a scale parameter measuring speeds in units proportional to the square root of T / m {displaystyle T/m} (the ratio of temperature and particle mass).

## What makes a gas different from the Boltzmann distribution?

In real gases, there are various effects (e.g., van der Waals interactions, vortical flow, relativistic speed limits, and quantum exchange interactions) that can make their speed distribution different from the Maxwell–Boltzmann form.

Where did the distribution of Maxwell come from?

Development of Maxwell Distribution Maxwell Speed Distribution Directly from Boltzmann Distribution