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