What is the Vrms, in m/s, for helium atoms at 4.8 K?

In summary, the Vrms for helium atoms at 4.8 K, close to the point of liquefaction, is √(0.9559) = 0.9774 meters per second. This is calculated using the equation Vrms= √(3RT)/(M), with R=3.1845 J/mol*K, T=4.8 K, and M=0.004003 kg/mol.
  • #1
Ashley Cornwell
2
0

Homework Statement


What is the Vrms, in meters per second, for helium atoms at 4.8 K? (which is close to the point of liquefaction)

Homework Equations


Vrms= √(3RT)/(M)

The Attempt at a Solution


R=3.145
T= I think its 4.15 Kelvin? based on the point of liquefaction of helium being -269°C
-unsure about the temperature
M= I think its 0.004003 Kg based on the molar mass of helium

Vrms= Sqrt (3*3.1845*4.15)/(0.004003)

Any help would be greatly appreciated, I've tried this a million ways and can't seem to figure it out,
Thank You!
 
Physics news on Phys.org
  • #2
Welcome to PF!

You don't have the correct value of R if you are using SI units.

They want you to use 4.8 K for T.

Otherwise, your method looks correct.:smile:
 
  • #3
TSny said:
Welcome to PF!

You don't have the correct value of R if you are using SI units.

They want you to use 4.8 K for T.

Otherwise, your method looks correct.:smile:

Thank You!
 

1. What is Vrms?

Vrms stands for "root-mean-square velocity," which is the measure of the average speed of particles in a gas.

2. How is Vrms calculated?

Vrms is calculated using the equation Vrms = √(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass of the gas.

3. What is the unit for Vrms?

The unit for Vrms is meters per second (m/s).

4. What is the Vrms for helium atoms at 4.8 K?

The Vrms for helium atoms at 4.8 K can be calculated using the molar mass of helium (4.0026 g/mol) and the gas constant (8.314 J/mol·K). Plugging these values into the Vrms equation, we get Vrms = √(3 * 8.314 J/mol·K * 4.8 K / 4.0026 g/mol) = 128.53 m/s.

5. How does the temperature affect Vrms?

As the temperature of a gas increases, the Vrms also increases. This is because higher temperatures mean that the gas particles have more kinetic energy, leading to faster average speeds and a higher Vrms.

Similar threads

  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
35K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
9K
  • Advanced Physics Homework Help
Replies
2
Views
2K
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
4K
Replies
3
Views
989
Back
Top