## estimate how long the electron and positron can exist before annihilating.

You are performing research on quantum fluctuations in empty space. In one type of fluctuation, an electron– positron pair (Section 44.2) appears in empty space. This process appears to violate the conservation of energy principle, since the rest energy of the particles has been created from nothing. According to Equation 39.24, however, this violation of conservation of energy can exist as long as the particles annihilate with each other in a time interval consistent with the energy–time version of the uncertainty principle. You employ this principle to estimate how long the electron and positron can exist before annihilating.

### In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone?

In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone? Use a specific gravity of 0.74 and viscosity of 0.65 for gasoline at the flowing temperature. Compare the….

### A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude).

A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude). The pipe is 20….

### The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch sizes to reduce pumping costs based on a 30 day operation. Consider a flow rate of 6000 bbl/hr.

The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch….