Question

At what temperature is the average speed of oxygen molecules equal to 1.12×104m/s?

Answer 1

we will use the root mean squared speed of oxygen formula
v= (3RT) / M
T= vM/3R
where
v =1.12x104 m/s; velocity
R= (8.31447 kg m2 s-2 K-1 mol-1) gas constant

M = 0.0319988 kg/mol; molar mass of oxygen

substituting the given values, we will get

T(K)= 14.37K or -258.78 C

Oxygen molecules speed of 1.12x104 m/s is at temperature -258.78C.