Kinetic Theory of the Ideal Gas

AI Thread Summary
The discussion focuses on calculating the root mean square (rms) speed of nitrogen (N2), oxygen (O2), and carbon dioxide (CO2) molecules in air at 0.0°C and 1.00 atm using the kinetic theory of gases. The formula used is vrms = square root of (3kT/m), where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the gas molecules. The user calculated the rms speed for N2 as approximately 9978.73 m/s but expressed uncertainty about the accuracy of this result. A subsequent calculation yielded a different value of 493 m/s, indicating confusion in the application of the formula. Clarification on the calculations and methodology is needed to ensure accurate results for O2 and CO2.
liz_p88
Messages
17
Reaction score
0

Homework Statement



Find the rms speed in air at 0.0°C and 1.00 atm of (a) the N2 molecules (b) the O2 molecules, and (c) the CO2 molecules.

Homework Equations



vrms = square root of 3kT/m

The Attempt at a Solution



(a). 28.0u x (1.66 x 10^-27) = 4.68 x 10^-26
1.5 x (1.38 x 10-23 J/K) x 273K = 5.6511 x 10^ -21

square root of {(3)(5.6511 x 10^-21)(273)/(4.648 x 10^-26)}

9978.73 m/s

If I got this correct, I can do b and c but I honestly don't know if I did it right
 
Physics news on Phys.org
I did it again, this time I did

square root of (2)(5.6511 x 10^-21)/ (4.648 x 10^-26)

493 m/s
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top