How does the speed frequency distribution graph change for a given gas as the temperature is increased?

To understand how the speed frequency distribution graph changes for a given gas as the temperature is increased, we need to consider the relationship between temperature and the kinetic theory of gases.

According to the kinetic theory of gases, the temperature of a gas is directly proportional to the average kinetic energy of the gas particles. In other words, as the temperature increases, the average kinetic energy of the gas particles also increases.

The speed frequency distribution graph represents the distribution of speeds of gas particles at a particular temperature. It shows how many particles have a particular speed.

As the temperature increases, the average kinetic energy of the gas particles increases. This leads to an increase in the overall speed of the gas particles. Consequently, the speed frequency distribution graph shifts towards higher speeds, indicating a greater number of particles having higher speeds.

In other words, the peak of the speed frequency distribution graph shifts towards higher speeds, and the graph becomes broader, indicating a wider range of speeds.

It's important to note that the graph does not become a simple vertical shift since the distribution also depends on other factors, such as the mass of gas particles and the nature of the gas. However, the overall trend is that as temperature increases, the speed frequency distribution graph shifts towards higher speeds and becomes broader.