Question

In the manufacture of paper, logs are cut into small chips, which are stirred into an alkaline solution that dissolves several of the chemical constituents of wood but not cellulose.

a. The slurry of undissolved chips in solution is further processed to recover most of the original solution constituents and dried wood pulp.
b. In one such process, wood chips with a specific gravity of 0.640 containing 45.0 wt% water are treated to produce 1600.0 tons/day of dry wood pulp containing 85.0 wt% cellulose.
c. The wood chips contain 47.0 wt% cellulose on a dry basis.
d. Estimate the feed rate of logs (logs/min), assuming that the logs have an average diameter of 9.00 inches and an average length of 9.00 feet.

Answer 1

To estimate the feed rate of logs, you need to calculate the volume of a log using its diameter and length. However, additional information is needed in order to estimate the feed rate accurately.

Step-by-step explanation:

To estimate the feed rate of logs, we first need to calculate the volume of a log. The volume of a log can be calculated using the formula:

V = (π * r^2 * h)

where V is the volume, π is a constant (approximately 3.14), r is the radius (half of the diameter), and h is the height (length) of the log.

Given that the average diameter of the log is 9.00 inches and the average length is 9.00 feet (108.00 inches), we can calculate the average radius:

r = 9.00 inches / 2 = 4.50 inches

Converting the length to inches:

h = 9.00 feet * 12 = 108.00 inches

Plugging the values into the volume formula:

V = (3.14 * (4.50)^2 * 108.00)

V ≈ 6636.42 cubic inches

To estimate the feed rate, we need to know the total volume of logs processed per minute. However, the information provided does not indicate the total volume of logs required to produce 1600.0 tons/day of dry wood pulp containing 85.0 wt% cellulose. Therefore, it is not possible to estimate the feed rate of logs without additional information.