Question

Derive an Expression for root mean square speed of a molecule of gas in terms of its absolute temperature ​

Answer 1

Expression for root mean square speed of a molecule of gas in terms of its absolute temperature.

Answer 2

The root mean square (rms) speed of a molecule of gas is the speed at which a molecule moves on average. It is given by the formula:

v(rms) = √(3RT/M)

where v(rms) is the root mean square speed of the molecule, R is the gas constant, T is the absolute temperature of the gas in Kelvin, and M is the molar mass of the gas in kg/mol.

Here are some key points to understand the formula:

• The root mean square speed is an average of the speeds of all the gas molecules in a system.
• The formula shows that the rms speed of the gas molecules is directly proportional to the square root of the temperature of the gas.
• The formula also shows that the rms speed of the gas molecules is inversely proportional to the square root of the molar mass of the gas.
• The gas constant R is a constant that relates the pressure, volume, and temperature of a gas, and it has a value of 8.31 J/mol k.

In summary, the rms speed of a molecule of gas increases as the temperature of the gas increases, and decreases as the molar mass of the gas increases.

To learn more about mass from the given link.

https://brainly.in/question/24482524

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