sample a\nmass of each particle: 44 u\naverage particle speed: 1,500 m/s\nwhich sample has the higher…

sample a\nmass of each particle: 44 u\naverage particle speed: 1,500 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

sample a\nmass of each particle: 44 u\naverage particle speed: 1,500 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

Answer

Explanation:

Step1: Recall temperature - speed relation

Temperature is related to the average kinetic energy of particles. The average kinetic energy of a particle is $K = \frac{1}{2}mv^{2}$. Since the mass ($m = 44u$) and average speed ($v=1500m/s$) are the same for both samples, their average kinetic energies are the same. Temperature is a measure of the average kinetic energy of the particles in a substance, so the temperatures are the same.

Step2: Recall pressure - speed relation

Gas pressure is related to the number of collisions of particles with the walls of the container per unit time and the momentum transfer per collision. Without information about the volume (which affects the number of collisions per unit area of the container walls), we cannot determine the pressure. But if we assume the samples are in the same - volume containers (a necessary condition for a fair comparison based on the given information about particles only), since the mass, speed (and thus momentum change per collision) are the same for both samples, the number of collisions per unit area of the container walls (assuming same - volume containers) will be the same, and the pressures are the same.

Answer:

neither; the samples have the same temperature neither; the samples have the same gas pressure