Question #178792

The lunar surface reaches 370 K by midday. The atmosphere consists of neon, argon and traces of helium at a total pressure of only 2 x 10-14 atm. Calculate the root mean square speed of each component in the lunar atmosphere


1
Expert's answer
2021-04-07T11:30:11-0400

T = 370 K

MrNe = 20.18 g/mol = 0.02018 kg/mol

MrAr = 39.95 g/mol = 0.03995 kg/mol

MrHe = 4 g/mol = 0.004 kg/mol

R = 8.314

Vrms = 3RTM\sqrt{\frac{3RT}{M}}

VrmsNe = 3×8.314×3700.02018\sqrt{\frac{3\times 8.314\times370}{0.02018}} = 676.24 m/s

VrmsAr = 3×8.314×3700.03995\sqrt{\frac{3\times 8.314\times370}{0.03995}} = 480.63 m/s

VrmsHe = 3×8.314×3700.004\sqrt{\frac{3\times 8.314\times370}{0.004}} = 1518.93 m/s


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