Which of the following statements are true?
Check all that apply.
View Available Hint(s)for Part A
The average speed of gas molecules decreases with decreasing temperature.
All the gas molecules in a sample cannot have the same kinetic energy.
The kinetic energy of a molecule cannot determine its speed.
The average kinetic energy of gas molecules decreases with decreasing temperature.
There are gas molecules that move slower than the average.
The average speed of gas molecules decreases with decreasing temperature
The average kinetic energy of gas molecules decreases with decreasing temperature.
There are gas molecules that move slower than the average.
There you go FAM!!!
The true statements are:
- The average speed of gas molecules decreases with decreasing temperature.
- All the gas molecules in a sample cannot have the same kinetic energy.
- The average kinetic energy of gas molecules decreases with decreasing temperature.
- There are gas molecules that move slower than the average.
To determine which of the statements are true, let's analyze each statement one by one:
1. The average speed of gas molecules decreases with decreasing temperature.
To determine the validity of this statement, we need to recall the relationship between temperature and the average speed of gas molecules. According to the kinetic theory of gases, as temperature decreases, the average kinetic energy of gas molecules decreases. Since kinetic energy is directly proportional to the square of the speed, a decrease in kinetic energy means a decrease in average speed. Therefore, this statement is true.
2. All the gas molecules in a sample cannot have the same kinetic energy.
This statement is true. According to the kinetic theory of gases, gas molecules in a sample have a distribution of kinetic energies. This means that while some molecules may have similar kinetic energies, it is statistically unlikely for all the molecules to have exactly the same kinetic energy.
3. The kinetic energy of a molecule cannot determine its speed.
This statement is not true. According to the kinetic theory of gases, the kinetic energy of a gas molecule is directly proportional to the square of its speed. In other words, the kinetic energy determines the speed of the gas molecule.
4. The average kinetic energy of gas molecules decreases with decreasing temperature.
This statement is true. As mentioned earlier, according to the kinetic theory of gases, the average kinetic energy of gas molecules is directly proportional to the temperature. Therefore, when the temperature decreases, the average kinetic energy of gas molecules also decreases.
5. There are gas molecules that move slower than the average.
This statement is true. The distribution of speeds of gas molecules follows a Maxwell-Boltzmann distribution, which means that there are some gas molecules that move slower than the average speed. This distribution includes a range of speeds, with some molecules being faster and some being slower than the average.
Based on the analysis above, the true statements are:
- The average speed of gas molecules decreases with decreasing temperature.
- All the gas molecules in a sample cannot have the same kinetic energy.
- The average kinetic energy of gas molecules decreases with decreasing temperature.
- There are gas molecules that move slower than the average.