QuestionApril 21, 2025

Select the incorrect statement for a mixture of gases at a temperature and volume. The average kinetic energy of molecules is the same. The speed of all the molecules is not the same. The speed of heavier molecules is faster than the speed of lighter molecules. The speed of lighter molecules is faster than the speed of heavier molecules.

Select the incorrect statement for a mixture of gases at a temperature and volume. The average kinetic energy of molecules is the same. The speed of all the molecules is not the same. The speed of heavier molecules is faster than the speed of lighter molecules. The speed of lighter molecules is faster than the speed of heavier molecules.
Select the incorrect statement for a mixture of gases at a temperature and volume.
The average kinetic energy of molecules is the same.
The speed of all the molecules is not the same.
The speed of heavier molecules is faster than the speed of lighter molecules.
The speed of lighter molecules is faster than the speed of heavier molecules.

Solution
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Answer

The speed of heavier molecules is faster than the speed of lighter molecules. Explanation 1. Analyze the average kinetic energy The average kinetic energy of molecules in a gas mixture is the same for all gases at a given temperature, according to the formula \frac{3}{2}kT, where k is Boltzmann's constant and T is temperature. 2. Evaluate molecular speeds Molecular speed depends on mass. According to the formula v = \sqrt{\frac{3kT}{m}}, lighter molecules have higher speeds than heavier ones at the same temperature. 3. Identify incorrect statement "The speed of heavier molecules is faster than the speed of lighter molecules" contradicts the relationship between mass and speed.

Explanation

1. Analyze the average kinetic energy<br /> The average kinetic energy of molecules in a gas mixture is the same for all gases at a given temperature, according to the formula $\frac{3}{2}kT$, where $k$ is Boltzmann's constant and $T$ is temperature.<br /><br />2. Evaluate molecular speeds<br /> Molecular speed depends on mass. According to the formula $v = \sqrt{\frac{3kT}{m}}$, lighter molecules have higher speeds than heavier ones at the same temperature.<br /><br />3. Identify incorrect statement<br /> "The speed of heavier molecules is faster than the speed of lighter molecules" contradicts the relationship between mass and speed.
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