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

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SUMMARY

The root mean square velocity (Vrms) for helium atoms at a temperature of 4.8 K can be calculated using the formula Vrms = √(3RT/M). The correct value for the gas constant R in SI units is 8.314 J/(mol·K), not 3.145. The molar mass of helium is accurately stated as 0.004003 kg/mol. Using these values, the calculation yields the Vrms for helium atoms at the specified temperature.

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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!
 
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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:
 
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!
 

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