German physicist Werner Heisenberg related the uncertainty of an object's position (Δ) to the uncertainty in its velocity (Δ) Δ≥ℎ4Δ

where ℎ is Planck's constant and is the mass of the object.

The mass of an electron is 9.11×10−31 kg.

What is the uncertainty in the position of an electron moving at 8.00×106 m/s with an uncertainty of Δ=0.01×106 m/s?

Liquid from a brewery fermentation contains 10% ethanol and 90% water. part of the fermentation product (50,000 kg/h) is pumped to a distillation column on the factory site. under current operating conditions, a distillate of 45% ethanol and 55% water is produced from the top of the column at a rate of one-tenth that of the feed. what is the composition of the waste "bottoms" from the still?