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Calculate the rms speed of a nitrogen molecule at room
Chapter 1, Problem 18P(choose chapter or problem)
QUESTION:
Problem 18P
Calculate the rms speed of a nitrogen molecule at room temperature.
Questions & Answers
QUESTION:
Problem 18P
Calculate the rms speed of a nitrogen molecule at room temperature.
ANSWER:
Solution
Step 1
Atomic weight of nitrogen = 14 g/mol
The rms velocity of the nitrogen molecule is find out by using the formula
Vrms =
Where T=Room temperature in kelvin =27+273 =300K
K is the boltzmann constant K= 1.3810-23 J/K
M is the mass of the molecule =2141.66110 -27
m = 4.6410-23 g
m= 4.6410-27 kg
K T =1.3810-23 300
K T =4.1410-21 J