# A quick question on RMS speed of gas molecules

• davon806
In summary, the RMS (root mean square) speed of gas molecules is the average speed of gas particles in a given sample, calculated using the equation: RMS speed = √(3RT/M). As temperature increases, the RMS speed also increases due to higher kinetic energy. The significance of the RMS speed lies in its use in understanding gas behavior and in various calculations. It is related to the average speed by a factor of √(2), and cannot be measured directly but can be indirectly measured through experiments.
davon806

As attached.

## The Attempt at a Solution

I chose A but the correct answer is E.(Actually I thought both of them were correct)
From the graph provided,it is clear that the turning point corresponds to the largest proportion of molecules,so is the corresponding speed = rms speed?If yes,then A must be true?

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davon806

## 1. What is the RMS speed of gas molecules?

The RMS (root mean square) speed of gas molecules is the average speed of gas particles in a given sample. It is calculated using the equation: RMS speed = √(3RT/M), where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.

## 2. How does temperature affect the RMS speed of gas molecules?

According to the RMS speed equation, as the temperature increases, the RMS speed of gas molecules also increases. This is because higher temperatures result in higher kinetic energy, causing gas particles to move faster.

## 3. What is the significance of the RMS speed of gas molecules?

The RMS speed of gas molecules is important in understanding the behavior of gases, such as diffusion and effusion. It is also used in various calculations, such as determining the rate of gas effusion or the average kinetic energy of gas particles.

## 4. How is the RMS speed of gas molecules related to the average speed?

The RMS speed is related to the average speed of gas molecules by a factor of √(2). This means that the RMS speed is always slightly higher than the average speed.

## 5. Can the RMS speed of gas molecules be measured directly?

No, the RMS speed of gas molecules cannot be measured directly. It is a calculated value based on temperature and molar mass. However, it can be indirectly measured using techniques such as gas diffusion or effusion experiments.

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