Which statements about a sample of gas containing molecules of different masses are true?Check all that apply.You did not open hints for this part.ANSWER:More-massive gas molecules in the sample have higher rms speed than less-massive ones.The rms speed depends only on temperature, and so all types of particles in the sample have the same rms speed.More-massive gas molecules in the sample have lower rms speed than less-massive ones.
Question
Which statements about a sample of gas containing molecules of different masses are true?Check all that apply.You did not open hints for this part.ANSWER:More-massive gas molecules in the sample have higher rms speed than less-massive ones.The rms speed depends only on temperature, and so all types of particles in the sample have the same rms speed.More-massive gas molecules in the sample have lower rms speed than less-massive ones.
Solution
The statement "More-massive gas molecules in the sample have higher rms speed than less-massive ones." is incorrect. According to the kinetic theory of gases, the root mean square (rms) speed of gas molecules is inversely proportional to the square root of their molar mass. Therefore, more massive gas molecules will have a lower rms speed than less massive ones.
The statement "The rms speed depends only on temperature, and so all types of particles in the sample have the same rms speed." is partially correct. While it's true that the rms speed of gas molecules is directly proportional to the square root of the temperature (in Kelvin), it's also inversely proportional to the square root of their molar mass. Therefore, in a sample of gas containing molecules of different masses, the rms speed of the molecules will not be the same.
The statement "More-massive gas molecules in the sample have lower rms speed than less-massive ones." is correct. As mentioned above, the rms speed of gas molecules is inversely proportional to the square root of their molar mass. Therefore, more massive gas molecules will have a lower rms speed than less massive ones.
Similar Questions
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