Question

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?

Answer 1

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