A canister containing 143 kg of an ideal gas has a volume of 6.1 m³. If the gas exerts a pressure of [tex]4.5 \times 10^5 \, \text{Pa}[/tex], what is the rms speed of the molecules?

Question

Cipher Cipher

20-01-2025
Physics

College

A canister containing 143 kg of an ideal gas has a volume of 6.1 m³. If the gas exerts a pressure of [tex]4.5 \times 10^5 \, \text{Pa}[/tex], what is the rms speed of the molecules?

Answer :

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fragrantHill60 fragrantHill60 · Answer 1 · 2024-02-03T14:03:20-05:00

Final answer:

To determine the rms speed of the molecules, we need the temperature of the gas.

Explanation:

The root mean square (rms) speed of the gas molecules can be calculated using the ideal gas law equation:

RMS speed = sqrt((3kT) / m)

Where k is Boltzmann's constant (1.38 x 10^(-23) J/K), T is the temperature of the gas, and m is the molar mass of the gas.

Given that the temperature is not provided in the question, we cannot calculate the rms speed without this information. Please provide the temperature or any additional information related to it.

Learn more about RMS speed of gas molecules here:

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