Alveoli are the tiny sacs of air in the lungs whose average diameter is 5 0 10 5 - Chemistry - Structure of Atom

Question

Alveoli are the tiny sacs of air in the lungs whose average
diameter is 5 0 ? 10?5?m Consider an oxygen molecule (mass = 5 3 ?
10?26?kg) trapped within a sac Calculate the uncertainty in the
velocity of the oxygen molecule ?

Ravjot Kaur · Accepted Answer

Dear student

dx
dp≥ h2πwhere dx = uncertainity in position = diameter of the sac
dp = uncertainity in momentumh=Planks constant
Also, dp = mdv
where m is the mass
and dp is the uncertainity in momentum
So,
(5 x 105) (5 3 x 1026) dv = 6 626 x
10-34/2x 3 14

26 5 x 1031 dv = 1 055 x 10-34

dv = 0 039 x 1065 m/s

Regards

Alveoli are the tiny sacs of air in the lungs whose average diameter is 5.0 ? 10?5?m. Consider an oxygen molecule (mass = 5.3 ? 10?26?kg) trapped within a sac. Calculate the uncertainty in the velocity of the oxygen molecule.?