(a) What is the rms speed of a Helium atom in Helium gas at STP?

Question

(a) What is the rms speed of a Helium atom in Helium gas at STP? (b) What
temperature would oxygen gas have if the rms speed of its atoms was the same as in part
(a)?

Answer 1

STP temperature is 0 ºC = 273 K

Vrms = √(3RT / M)

(a) Vrms = √(3 * 8.314J/mol·K * 273K / 0.004kg/mol) = 1305 m/s

(b) Oxygen gas is diatomic, 32 g/mol, so
1305 m/s = √(3 * 8.314J/mol·K * T / 0.032kg/mol)
T = 2185 K = 2458 K

Hope this helps!

Answer 2

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