Question

sample a
mass of each particle: 32 u
average particle speed: 1,300 m/s
which sample has the higher temperature?
sample a
sample b
neither; the samples have the same temperature
sample b
mass of each particle: 46 u
average particle speed: 1,300 m/s
which sample has the higher gas pressure?
sample a
sample b
neither; the samples have the same gas pressure

Explanation:

Step1: Recall temperature - kinetic energy relation

Temperature is related to the average kinetic energy of particles. The average kinetic energy of a particle is given by $K_{avg}=\frac{1}{2}mv^{2}$. Since the average particle speed ($v$) is the same for both samples ($v = 1300$ m/s), and the mass ($m$) of particles in sample B ($m_B=46$ u) is greater than the mass of particles in sample A ($m_A = 32$ u), the average kinetic energy of particles in sample B is higher. Higher average - kinetic energy means higher temperature.

Step2: Recall pressure - kinetic energy relation

The pressure of a gas is also related to the average kinetic energy of its particles and the rate of collisions with the container walls. Since the average speed of particles is the same, but the mass of particles in sample B is higher, the momentum of particles in sample B is higher ($p = mv$). When they collide with the walls of the container, they exert a greater force. Assuming the same number of particles and container volume, sample B has a higher pressure.

Answer:

Sample B has the higher temperature.
Sample B has the higher gas pressure.