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A gas consists of a mixture of neon and argon. The root mean square (rms) speed of the neon atoms is 380 m/s. What is the rms speed of the argon atoms?

User Sleepless
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Final answer:

The rms speed of gas particles is related to temperature and molar mass. Using the formula Urms=(sqrt(3RT/M)), we can calculate the rms speed of argon atoms by comparing their molar mass to that of neon atoms.

Step-by-step explanation:

The root mean square (rms) speed of gas particles is related to their temperature and molar mass. The formula for rms speed is given by:

Urms = (sqrt(3RT/M))

Where Urms is the rms speed, R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas. In this case, we are given the rms speed of neon atoms (380 m/s). To find the rms speed of argon atoms, we need to compare their molar masses. Neon (Ne) has a molar mass of approximately 20 g/mol, while argon (Ar) has a molar mass of approximately 40 g/mol. Since argon has twice the molar mass of neon, its rms speed will be lower. Therefore, we can calculate the rms speed of argon atoms using the formula and the new molar mass:

Urms Argon = (sqrt(3RT/M Argon))

By substituting the values into the formula, we can find the rms speed of argon atoms.

User Khteh
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