sample a\nmass of each particle: 46 u\naverage particle speed: 1,000 m/s\nwhich sample has the higher…

sample a\nmass of each particle: 46 u\naverage particle speed: 1,000 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: 46 u\naverage particle speed: 1,000 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 formula is $K_{avg}=\frac{3}{2}kT$, and also $K_{avg}=\frac{1}{2}mv^{2}$. Given that mass $m$ and average particle speed $v$ are the same for both samples A and B, their average kinetic energies are the same. Since average kinetic energy is proportional to temperature, the temperatures are the same.

Step2: Recall pressure - speed relation

The pressure of a gas is related to the average kinetic energy of particles and the number of collisions with the container walls. Since mass $m$ and average particle speed $v$ are the same for both samples, and assuming the samples are in the same - volume containers (if no other information about volume is given, we consider the general case where all other factors affecting pressure are equal), the number of collisions per unit area and the force exerted per collision are the same. So the pressures are the same.

Answer:

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