54.1k views
2 votes
The rms speed of an oxygen molecule (O2) in a container of oxygen gas is 650 m/s. What is the temperature of the gas?

User Algorini
by
7.5k points

1 Answer

6 votes

Answer:

542.06 K

Step-by-step explanation:

v = rms speed of oxygen molecule = 650 m/s

M = molecular mass of the oxygen molecule = 32 g = 0.032 kg

R = universal gas constant = 8.314 J/(mol K)

T = temperature of the gas

Rms speed of oxygen molecule is given as


v = \sqrt{(3RT)/(M)}


650 = \sqrt{(3(8.314)T)/(0.032)}

T = 542.06 K

User Plx
by
8.0k points