Part A Calculate the rms speed of an oxygen molecule at 12?C. Express your answe

Question

Part A

Calculate the rms speed of an oxygen molecule at 12?C.

Express your answer to three significant figures and include the appropriate units.

Part B

Determine how many times per second each molecule moving with rms speed would move back and forth across a 6.8m -long room on the average, assuming it made very few collisions with other molecules.
To find vx use the equation v2=v2x+v2y+v2z and the fact that molecules have no preferred direction.

Express your answer using two significant figures.

Explanation / Answer

Part A: Vrms = sqrt(3RT/Mr) where Mr is the molar mass in kg/mol, T the temperature in Kelvin and R = 8.3145 J/K the universal constant.So:
Vrms = sqrt(3*8.3145*285/0.032) = 471 m/s

Part B: Vrms= 471m/s, l=6.8m

Vx=v/sqrt3;

no. of oscillations =471/(2*6.8*sqrt3)

no. of oscillations =20/s ie 20 times per second

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