Calculating Thermal Speed VTh with R Constant

In summary, thermal speed VTh is a measure of the average speed of particles in a gas or liquid at a given temperature, also known as the root mean square speed. It can be calculated using the formula VTh = √(3kT/m), where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the particle. The R constant, or gas constant, is used in this formula to convert units and account for the number of particles in a gas. VTh can be measured experimentally using various techniques, and it increases with temperature as particles gain more kinetic energy.
  • #1
negation
818
0
VTh= sqrt[(3RT)/M] where M is the molar mass

How do we determine which R constant to use?
 
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  • #2
What do you mean? Do you suppose there is more than one?
 
Last edited:
  • #3
nasu said:
What do you mean? Do you suppose there more than one?


Isn't the boltzman constant and the ideal gas constant?
 
  • #4
Which constant has the proper units to fit into the equation?
 
  • #5
Who uses R for the Boltzmann constant?
 

Related to Calculating Thermal Speed VTh with R Constant

1. What is thermal speed VTh?

Thermal speed VTh is a measure of the average speed of particles in a gas or liquid at a given temperature. It is also known as the root mean square (RMS) speed and is often represented by the symbol u.

2. How is thermal speed VTh calculated?

VTh can be calculated using the formula VTh = √(3kT/m), where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the particle. This formula is derived from the Maxwell-Boltzmann distribution, which describes the distribution of speeds of particles in a gas.

3. What is the significance of the R constant in calculating thermal speed VTh?

The R constant, also known as the gas constant, is a proportionality constant that relates the energy of a gas to its temperature. It is used in the formula for VTh to convert the units of temperature from Kelvin to Joules and to account for the number of particles in a gas.

4. Can thermal speed VTh be measured experimentally?

Yes, thermal speed VTh can be measured experimentally using techniques such as gas diffusion, viscosity measurements, and particle tracking. These methods involve measuring the motion of gas particles and using the data to calculate VTh.

5. How does temperature affect thermal speed VTh?

As temperature increases, thermal speed VTh also increases. This is because as the temperature rises, particles gain more kinetic energy and move faster. Conversely, as temperature decreases, VTh decreases as well.

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