
Concept explainers
(a)
The characteristic size of the product.

Answer to Problem 4.11P
The characteristic size of the product is
Explanation of Solution
Calculation:
Draw the table to calculate the corresponding
Sieve Size (inches) |
Percent by weightFiner than Feed |
Linearised |
|
The slope calculated by the slope function in the excel sheet is,
The intercept calculated by the intercept function in the excel sheet is,
Write the expression to calculate the characteristic size.
Here, the characteristic size is
Substitute
Calculate the characteristic size for product.
Sieve Size (inches) |
Percent by weightFiner than Product |
Linearised |
|
The slope calculated by the slope function in the excel sheet is,
The intercept calculated by intercept function in the excel sheet is,
Calculate the characteristic size for the product.
Substitute
Conclusion:
Thus, the characteristic size of the feed is
The characteristic size of the product is
(b)
If both the distributions fit the Rosin-Rammler particle size distribution function.

Answer to Problem 4.11P
Only the product distribution fits the Rosin-Rammler distribution function.
Explanation of Solution
Only the distribution for the product fits the Rosin-Rammler distribution function as in the feed distribution the characteristic size is of very high order of
Thus, only the product distribution fits the Rosin-Rammler distribution function.
(c)
The diagram for the particle size distribution curve for the given cases.

Answer to Problem 4.11P
- The feed becomes wetter (higher moisture content).
The particle size distribution curve is shown below.
The particle size distribution curve is shown below.
Explanation of Solution
Figure (1)
When the moisture content is increase the product size also increases considerably.
Figure (2)
When the shredder speed is increased the product size decreases considerably.
(d)
The effective power requirement.

Answer to Problem 4.11P
The effective power requirement is
Explanation of Solution
Calculation:
Write the expression to calculate the effective power requirement.
Here, the bond work index is
Substitute
Conclusion:
Thus, the effective power requirement is
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