The lunar surface reaches 370 K at midday. The atmosphere consists of neon, argon, and helium at a total pressure of only 2X10⁻¹⁴ atm. Calculate the rms speed of each component in the lunar atmosphere. [Use R = 8.314 J/(mol·K) and M in kg/mol.]

Respuesta :

The RMS speed of each component in the lunar atmosphere:

  • neon = 676.24 m/s
  • argon = 480.63 m/s
  • helium = 1518.93 m/s

Simply because the discovery of water on the moon transformed our textbook information of Earth's nearest celestial neighbor, the latest studies affirm that our moon does certainly have an ecosystem that include a few unusual gases, such as sodium and potassium, which aren't observed within the atmospheres of Earth, Mars or Venus.

The skinny environment, so the scientist's purpose, become created by gases derived from lava outpourings that engulfed huge areas of the Moon approximately 3.5 billion years ago, at a time when existence already existed on this planet. so much gas changed into produced that the lunar atmospheres were 1.5 times thicker than the contemporary surroundings on Mars.

T = 370 K

Ne = 20.18 g/mol

= 0.018 kg/mol

Ar =39.95 g/mol

= 0.03995 kg/mol

He = 4 g/mol

= 0.004 kg/mol

R = 8.314

Vrms = [tex]\sqrt[/tex]3RT / M

VrmsNe = [tex]\sqrt[/tex]3x8.314x370 / 0.02018  

= 676.24 m/s

VrmsAr = [tex]\sqrt[/tex]3×8.314×370 / 0.03995

= 480.63 m/s

VrmsHe = [tex]\sqrt[/tex]3×8.314×370 / 0.004

= 1518.93 m/s

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