sample a\nmass of each particle: 32 u\naverage particle speed: 1,700 m/s\nwhich sample has the higher…

sample a\nmass of each particle: 32 u\naverage particle speed: 1,700 m/s\nwhich sample has the higher temperature?\nsample a\nsample b\nneither; the samples have the same temperature\nwhich sample has the higher gas pressure?\nsample a\nsample b\nneither; the samples have the same gas pressure\nsample b\nmass of each particle: 28 u\naverage particle speed: 1,700 m/s
Answer
Explanation:
Step1: Recall kinetic - theory relation
The average kinetic energy of a gas particle is given by $K_{avg}=\frac{3}{2}kT$, and also $K_{avg}=\frac{1}{2}mv^{2}$. Since the average particle speeds ($v = 1700$ m/s) are the same for both samples, the average kinetic energies are the same. According to $K_{avg}=\frac{3}{2}kT$, if $K_{avg}$ is the same, the temperatures ($T$) are the same.
Step2: Recall pressure - kinetic - theory relation
The pressure of a gas is given by $P=\frac{2}{3}nK_{avg}$, where $n$ is the number density of particles. Since we are not given any information about the number of particles or the volume of the samples, we assume that the number density $n$ is the same for both samples. Since $K_{avg}$ is the same for both samples (from step 1), the pressures are the same.
Answer:
neither; the samples have the same temperature neither; the samples have the same gas pressure