Question
Like all substances, gases are made up of moving particles.
The diagrams below show two pure samples of gas in identical closed containers. The colored balls represent the particles in each sample.
Sample A
Sample B
The mass of each particle is the same. The particles in sample A have a higher average speed than the particles in sample B.
Which particles have the higher average kinetic energy?
A. the particles in sample A
B. The particles in sample B
C. neither; the average kinetic energy is the same
The diagrams below show two pure samples of gas in identical closed containers. The colored balls represent the particles in each sample.
Sample A
Sample B
The mass of each particle is the same. The particles in sample A have a higher average speed than the particles in sample B.
Which particles have the higher average kinetic energy?
A. the particles in sample A
B. The particles in sample B
C. neither; the average kinetic energy is the same
Answers
GPT-4o mini
The average kinetic energy of gas particles is directly related to their temperature, which in turn is influenced by their speed. The kinetic energy of a particle is given by the equation:
\[ KE = \frac{1}{2} mv^2 \]
where \( KE \) is the kinetic energy, \( m \) is the mass of the particle, and \( v \) is its speed.
Since the particles in Sample A are moving at a higher average speed than those in Sample B, and the mass of each particle is the same, it follows that the particles in Sample A have a higher average kinetic energy.
Thus, the answer is:
**A. the particles in sample A**
\[ KE = \frac{1}{2} mv^2 \]
where \( KE \) is the kinetic energy, \( m \) is the mass of the particle, and \( v \) is its speed.
Since the particles in Sample A are moving at a higher average speed than those in Sample B, and the mass of each particle is the same, it follows that the particles in Sample A have a higher average kinetic energy.
Thus, the answer is:
**A. the particles in sample A**