Question

sample a
mass of each particle: 32 u
average particle speed: 1,700 m/s
which sample has the higher temperature?
sample a
sample b
neither; the samples have the same temperature
which sample has the higher gas pressure?
sample a
sample b
neither; the samples have the same gas pressure
sample b
mass of each particle: 28 u
average particle speed: 1,700 m/s

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