Question

gas a
each particle in gas a and gas b has the same mass. the particles in gas b are moving at a higher average speed than the particles in gas a.
in which gas do the particles have the higher average kinetic energy?
gas a
gas b
neither; their particles have the same average kinetic energy
which has the higher gas pressure?
gas a
gas b
neither; their gas pressures are the same

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $K = \frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is speed. Given that $m_A=m_B$ and $v_B > v_A$.

Step2: Compare kinetic energies

Since $K_A=\frac{1}{2}m_Av_A^{2}$ and $K_B=\frac{1}{2}m_Bv_B^{2}$, and $m_A = m_B$, when $v_B>v_A$, we have $K_B>K_A$. So gas B has higher average kinetic energy.

Step3: Recall pressure - kinetic energy relation

Gas pressure is related to the average kinetic energy of gas particles. Higher average kinetic energy means more frequent and forceful collisions with the container walls, resulting in higher pressure. Since gas B has higher average kinetic energy, it has higher pressure.

Answer:

1. gas B
2. gas B