Molecule Kinetics: Calculating Temperature from Speed Upon Moon Re-Entry

In summary: So you need to use the mass of an N2 molecule, not just a single nitrogen atom.In summary, the conversation discusses the calculation of temperature based on the speed of a space vehicle entering Earth's atmosphere and the molecules (assuming nitrogen) striking its nose. The equation used is KE=0.5mv^2=kT, where k is a constant. The conversation also mentions the use of the mass of an N2 molecule and Boltzmann's constant, k, to solve for T.
  • #1
bpw91284
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0

Homework Statement



A space vehicle returning from the Moon enters Earth’s atmosphere at a speed of about 4.9E4 km/h. Molecules (assum nitrogen) striking the nose of the vehicle with this speed correspond to what temperature?

Homework Equations



KE=0.5mv^2=kT
k: constant

The Attempt at a Solution



I'm lost.
 
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  • #2
Look up the mass of an N2 molecule and Boltzmann's constant, k, put them into your first equation and solve for T. ?
 
  • #3
Dick said:
Look up the mass of an N2 molecule and Boltzmann's constant, k, put them into your first equation and solve for T. ?

Can't look up mass, only molecular weight. Where mass=#mols*molecular weight.
 
  • #4
bpw91284 said:
Can't look up mass, only molecular weight. Where mass=#mols*molecular weight.

You can so look up the mass of a single nitrogen atom. It's in the periodic table in atomic mass units. What's an atomic mass unit in kilograms? Can also be looked up.
 
  • #5
Dick said:
You can so look up the mass of a single nitrogen atom. It's in the periodic table in atomic mass units. What's an atomic mass unit in kilograms? Can also be looked up.

N=14.00674u
1 u ≈ 1.66053886 × 10−27 kg

Then just solve for T with 0.5mv^2=kT?

Thanks,
Brandon
 
  • #6
Except remember the question says 'molecules' and nitrogen is N2 (two nitrogen atoms).
 
Last edited:

FAQ: Molecule Kinetics: Calculating Temperature from Speed Upon Moon Re-Entry

How is temperature calculated from speed upon moon re-entry?

The temperature upon moon re-entry can be calculated using the kinetic theory of gases, which states that the average kinetic energy of gas molecules is directly proportional to the temperature. This means that as the speed of the molecules increases, so does the temperature.

What factors affect the speed of molecules during moon re-entry?

The speed of molecules during moon re-entry is affected by factors such as the density and composition of the atmosphere, the angle and velocity of the spacecraft, and the altitude at which the re-entry occurs.

Can temperature be accurately calculated using molecule kinetics during moon re-entry?

Yes, temperature can be accurately calculated using molecule kinetics during moon re-entry. This method takes into account the speed of the molecules and their collisions with each other and the surrounding atmosphere, providing an accurate estimation of the temperature.

How does temperature affect the re-entry process?

The temperature during moon re-entry can have a significant impact on the re-entry process. If the temperature is too high, it can cause the spacecraft to overheat and lead to structural damage. On the other hand, if the temperature is too low, the spacecraft may not slow down enough and could miss its designated landing area.

How can molecule kinetics be used to improve re-entry technology?

Molecule kinetics can be used to improve re-entry technology by providing a better understanding of the physical processes involved during re-entry. This knowledge can be used to design more efficient heat shields and thermal protection systems to ensure a safe and successful re-entry. It can also help in predicting and mitigating potential hazards, such as extreme temperatures and atmospheric conditions, during the re-entry process.

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