# physics

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At what temperature do the molecules of nitrogen gas have an rms speed of 35 ?

• physics -

For the given rms speed of 35 (m/s)
You can determine the temperature from the relation:
(rms speed)² = 3RT/molar mass, or
Temperature, T = (rms speed)²*(molar mass)/(3R)
R=gas constant, 8.31 J/°K-mol
T=temperature in °K
molar mass = kg/mol

T=(35² m²/s²)*(0.028 kg/mol)/(3*8.31 kg-m²/°K-mol-s²)
=35²*0.028/(3*8.31) °K
=1.38 °K

I do not know if the equation still holds at such low temperatures.

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