At a given temperature, what relationship appears to exist between a gas particle's mass and its speed?

At a given temperature, what relationship appears to exist between a

At a given temperature, the relationship between a gas particle's mass and its speed is described by the kinetic theory of gases. According to this theory, the average kinetic energy of a gas particle is directly related to its temperature.

The kinetic energy of a particle can be calculated using the equation:

KE = (1/2) * m * v^2

Where KE is the kinetic energy, m is the mass of the particle, and v is its velocity.

Since the average kinetic energy is directly proportional to temperature, we can say that:

(1/2) * m * v^2 ∝ T

Where T is the temperature. This equation suggests that as the temperature increases, the kinetic energy and average speed of gas particles also increase.

Now, let's answer your original question. At a given temperature, there is no direct relationship between a gas particle's mass and its speed. The speed of a gas particle depends on various factors such as temperature, pressure, and particle interactions. However, based on the kinetic theory of gases, all gas particles at a given temperature would have a range of speeds, with lighter particles generally having higher average speeds compared to heavier particles.