Alveoli are tiny sacs of air in the lungs. Their average diameter is 4.50 × 10−5 m. Calculate the uncertainty in the velocity of an oxygen molecule (5.30 × 10−26 kg) trapped within a sac. Enter your answer in scientific notation.

The uncertainty in the velocity of oxygen molecule is

Explanation:

The diameter of the molecule will be equal to the uncertainty in position.

The equation representing Heisenberg's uncertainty principle follows:

where,

= uncertainty in position = d =

= uncertainty in momentum  =

m = mass of oxygen molecule =

h = Planck's constant =

Putting values in above equation, we get:

Hence, the uncertainty in the velocity of oxygen molecule is