Introduction to Chemical Engineering Processes/Chapter 3 Practice Problems/Solutions

Problem 1

D.

  (1.06 g/m^3)*(1 m^3/264.17 Gal.) = 4.01E-3 grams

Problem 2

volume of Toluene = 53.199 cm^3

Problem 3

Important Conversion Factor : 1 ream = 500 sheets

A.

  (10,000 reams)*(500 sheets/1 ream)*(1 book/250 sheets) = 20,000 books

  (30,000 Lbs. ink)*(1 book/0.2 Lbs. ink) = 150,000 books

  Paper is the limiting resource @ 20,000 books.

B.

  (1-0.04)*(20,000 books) = 19,200 books

  North America : (19,200 books)*(0.15) = 2880 books
  South America : (19,200 books)*(0.10) = 1920 books
  Europe        : (19,200 books)*(0.20) = 3840 books
  Africa        : (19,200 books)*(0.20) = 3840 books
  Asia          : (19,200 books)*(0.25) = 4800 books
  Australia     : (19,200 books)*(0.10) = 1920 books

  Cost of Printing
  (20,000 books)*($0.50) = $10,000

  Shiping Cost
  North America : (2880 books)*($0.05) = $144
  South America : (1920 books)*($0.08) = $153.6
  Europe        : (3840 books)*($0.10) = $384
  Africa        : (3840 books)*($0.20) = $768
  Asia          : (4800 books)*($0.12) = $576
  Australia     : (1920 books)*($0.15) = $288
  Total Shiping Cost = $2,313.6

  Basis : 1 book sell = $1.00

  Total Daily Production Cost : $10,000 + $2,313.6 = $12,313.6

  Daily Max Profit : $19,000 - $12,313.6 = $6,886.4

C.

  Selling 12,314 books/day would return a profit of $0.40/day

D.

  Pounds of Ink
  North America : (2880 books)*(0.02 Lbs ink) = 57.6 Lbs. ink
  South America : (1920 books)*(0.02 Lbs ink) = 38.4 Lbs. ink
  Europe        : (3840 books)*(0.02 Lbs ink) = 76.8 Lbs. ink
  Africa        : (3840 books)*(0.02 Lbs ink) = 76.8 Lbs. ink
  Asia          : (4800 books)*(0.02 Lbs ink) = 38.4 Lbs. ink
  Australia     : (1920 books)*(0.02 Lbs ink) = 96.0 Lbs. ink

  Sheets of Paper
  North America : (2880 books)*(250 sheets) =   720,000 Sheets
  South America : (1920 books)*(250 sheets) =   480,000 Sheets
  Europe        : (3840 books)*(250 sheets) =   960,000 Sheets
  Africa        : (3840 books)*(250 sheets) =   960,000 Sheets
  Asia          : (4800 books)*(250 sheets) = 1,200,000 Sheets
  Australia     : (1920 books)*(250 sheets) =   480,000 Sheets

E.

  Improve the Profit Margin
  -Cheaper paper feed stock
  -Recycle defective books for tax incentives
  -Use recycle paper feed stock for tax incentives
  -Cheaper ink feed stock
  -Use environmentally friendly feed stock for tax incentives
  -Reduce number of defective books produced
  -Sell the book at higher prices where the market will allow