Announcement

Collapse
No announcement yet.

Understanding Surface Area of Powder vs. Flat Sheets

Collapse
X
 
  • Filter
  • Time
  • Show
Clear All
new posts

  • Understanding Surface Area of Powder vs. Flat Sheets

    Assume we have two shapes of Aluminum material: Balls and sheets.
    •Given 1 BALL of Aluminum has a diameter of 20 Microns
    •Given each BALL of Aluminum is EMPTY and HOLLOW because the inside mass can not be touched by water (only the outer surface area)
    •Given only the outer skins (SURFACE AREA) of BALLS and SHEETS can be touched by water.
    •Given a 5x5x5 CUBE of Aluminum balls with each side measuring 100 Microns
    •Given the thickness of a sheet of Aluminum Foil is 20 Microns thick.
    •Given a square sheet of Aluminum foil measuring 100 by 100 Microns
    •Given that a PLANE across the cube can be either:
    •25 balls measuring 100 x 100 Microns
    •1 sheet measuring 100 x 100 Microns
    •Given all sides of the Aluminum balls are exposed to Water
    •Given both sides of the Aluminum sheets are exposed to Water

    What is the difference in SURFACE AREA between the two shapes:
    •125 balls in a 5x5x5 cube measuring 20 Microns diameter each = 157,080 Sq. Microns
    •10 sheets of Aluminum foil measuring 100 x 100 Microns each = 100,000 Sq. Microns

    Regardless of the number of hollow balls that fill up a CUBE, the square surface area of the balls are 1.6 times greater than the surface area of both sides of square sheets (where D = S).
    Click image for larger version

Name:	HODBOX-SurfaceArea1.png
Views:	39
Size:	104.1 KB
ID:	170
    Click image for larger version

Name:	HODBOX-SurfaceArea2.png
Views:	25
Size:	187.3 KB
ID:	171
Working...
X