   # Two shredders are used to process nearly identical municipal solid waste. The products are sieved, and the data are presented as Rosin-Rammler plots. From these plots, it is concluded that the characteristic size ( x 0 ) and n value are as follows: b. Which shredder yielded a more uniform product? I low do you know? c. Using a Rosin-Rammler plot. Show the curves for each shredder. Assume a linear curve on the Rosin-Rammler plot. ### Solid Waste Engineering

3rd Edition
Worrell + 1 other
Publisher: Cengage Learning,
ISBN: 9781305635203

#### Solutions

Chapter
Section ### Solid Waste Engineering

3rd Edition
Worrell + 1 other
Publisher: Cengage Learning,
ISBN: 9781305635203
Chapter 4, Problem 4.3P
Textbook Problem
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## Two shredders are used to process nearly identical municipal solid waste. The products are sieved, and the data are presented as Rosin-Rammler plots. From these plots, it is concluded that the characteristic size (x0) and n value are as follows: b. Which shredder yielded a more uniform product? I low do you know? c. Using a Rosin-Rammler plot. Show the curves for each shredder. Assume a linear curve on the Rosin-Rammler plot.

To determine

(a)

The shredder which did a better job in reducing the size of the solid waste.

### Explanation of Solution

Given:

The value of n are given in the table,

 Shredder Characteristic Size (in.) n value Trash Mauler 0.34 1.0 Gobbler 0.46 1.2

Calculation:

Write the equation for the Rosin-Rammler plot.

x0=x[ln( 1 1Y)]1n ...... (I)

Here, the characteristic particle size is x0 , the particle size is x , the cumulative fraction of material by weight is Y, and the constant is n .

Calculate the size of the screen required to pass 90% of the material.

Substitute 0.9 for Y in Equation-(I).

x0=x [ln( 1 10.9)] 1n x0=x ( 2

To determine

(b)

The shredder that yielded a more uniform product.

To determine

(c)

The curves for each shredder using Rosin-Rammler plot.

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