Calculate DeltaR RMS for Air Molecule After 5s

In summary, the average speed of an air molecule at room temperature is 500 m/s and the deltaR rms for an air molecule after five seconds can be calculated using the equation delta r rms = sqrt(v*d)*sqrt(t). The mean path of N2 is 7e-8m, which should be multiplied by a thousand to get the answer in millimeters.
  • #1
fball558
147
0
?Average speed??

Homework Statement



As you have calculated, the average speed of an air molecule at room temperature is about 500 m/s. What is deltaR rms (root means squared) for an air molecule after five seconds?

answer is in mm

not even sure what mm is other than millimeters


The Attempt at a Solution



i though it would stay the same because the speed of a molecule does not depend on time though a medium does it??

i tried 500 which was given in problem (units m/s)
any help would be great
thanks
 
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  • #2


I'm still trying to figure this out too.
Look at pg 430 of your book.. the equation is there. I was told that we're supposed to use the mean path of nitrogen (N2) which is given on page 415.

So it's:

delta r rms = sqrt(v*d)*sqrt(t)

d= mean path of N2 (7e-8m) given on page 415.
 
Last edited:
  • #3


then just multiply by a thousand since it is in meters and they want it in mm.. for all u phys 172 ppl out there searchin for this question
 

FAQ: Calculate DeltaR RMS for Air Molecule After 5s

1. How do you calculate the DeltaR RMS for an air molecule after 5 seconds?

To calculate the DeltaR RMS for an air molecule after 5 seconds, you would need to use the formula: DeltaR RMS = square root of (3RT/m), where R is the universal gas constant, T is the temperature in Kelvin, and m is the mass of the air molecule.

2. What is the significance of calculating DeltaR RMS for air molecules?

DeltaR RMS is a measure of the average displacement of air molecules from their equilibrium positions. It is used to understand the behavior of gases and their diffusion rates, as well as to predict the movement of particles in a gas.

3. How does temperature affect the DeltaR RMS for air molecules?

Temperature has a direct effect on the DeltaR RMS for air molecules. As temperature increases, the kinetic energy of molecules increases, resulting in higher velocities and larger DeltaR RMS values.

4. What is the difference between DeltaR RMS and root mean square velocity?

DeltaR RMS is a measure of the average displacement of air molecules, while root mean square velocity is a measure of the average speed of air molecules. DeltaR RMS takes into account the direction of motion, while root mean square velocity only considers the magnitude of the velocity.

5. Can the DeltaR RMS for air molecules change over time?

Yes, the DeltaR RMS for air molecules can change over time as temperature and other factors affecting the behavior of gases can vary. Additionally, as molecules collide with each other and other particles, their velocities and displacements may change, resulting in a change in the DeltaR RMS value.

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