Posted by **Anonymous** on Sunday, November 22, 2009 at 6:31pm.

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

- physics -
**MathMate**, Sunday, November 22, 2009 at 9:00pm
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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