{"id":2243,"date":"2026-01-22T12:04:11","date_gmt":"2026-01-22T17:04:11","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/?post_type=chapter&#038;p=2243"},"modified":"2026-03-06T14:16:53","modified_gmt":"2026-03-06T19:16:53","slug":"size-distribution","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/chapter\/size-distribution\/","title":{"raw":"4. Size Distribution","rendered":"4. Size Distribution"},"content":{"raw":"Size reduction processes produce a range of particles sizes as indicated qualitatively in Figure 4.1 (below). It is important to know the size distribution of a crushed or ground ore that is being fed to the next steps in an extractive metallurgy process. Particle size has significant influences on concentration processes and leaching processes. Too small or too big and there can be significant losses in recovery of minerals or metals. Size distribution strongly affects rates of leaching processes. In heap leaching too much fine material can prevent solution flow, plugging heaps.\r\n\r\n[caption id=\"attachment_966\" align=\"alignnone\" width=\"1354\"]<img class=\"pb-hover-zoom wp-image-966 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits.png\" alt=\"Three ore processing flowcharts labeled A, B, and C. A: traditional three-stage crushing with jaw, secondary, and tertiary crushers, followed by screening and grinding in ball or rod mills. B: simplified flow with gyratory crusher feeding directly into AG mill. C: semi-autogenous process with gyratory crusher, SAG mill, and screening.\" width=\"1354\" height=\"1320\" \/> Figure 4.1 (A) - This is a multi-machine size reduction circuit and probably not all that common anymore. Crushing circuit product is passed over a screen. Oversize material is rejected and returned to the tertiary crusher (also a cone crusher).Undersize material is fed to the grinding circuit. The rod mill produces a suitably uniform feed to ball mill for final fine grinding. Product from the ball is fed to a cyclone; oversize is recycled to the ball mill. (B) Crushed ore from a gyratory (primary) crusher here is suitable as a feed to an AG mill in which it is ground. The product is classified and oversize is returned to the AG mill. (C) Crushed ore from a gyratory crusher is fed to a SAG mill. The SAG mill product is screened. Undersize is fed to a ball mill, the product of which is classified by a hydroclone. Oversize returns to the ball mill.[\/caption]\r\n\r\n[caption id=\"attachment_967\" align=\"alignnone\" width=\"1074\"]<img class=\"pb-hover-zoom wp-image-967 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier.png\" alt=\"Simplified flow diagram of an ore grinding circuit. Crushed ore enters a rod mill, then passes to a classifier that separates ground ore from coarse material. Ground ore exits the system; coarse material is sent to a ball mill for further grinding, with its output recirculated to the classifier\" width=\"1074\" height=\"518\" \/> Figure 4.2 - Placement of a size classifier between a rod mill and a ball mill in a two-stage grinding circuit.[\/caption]\r\n\r\nSize analysis can be performed using automated equipment. For example, some size analysis instruments work on the principle of scattering of light. Different sizes scatter light to different extents. A laser light source is used. Careful calibration with known materials is required. A continuous size distribution plot (fraction of particles versus size) is obtained and the analysis can be done fairly quickly.\r\n\r\nA simple and commonly practiced size analysis technique is laboratory screening. A known mass of sample is introduced onto the top of a stack of sieves of varying opening sizes. The coarsest sieve is at the top, the finest is the second to last near the bottom. A pan is placed at the bottom of the stack to capture any material too fine to be retained by the finest sieve. The sieve stack is vibrated to facilitate passage of particles through the sieves (see <a href=\"#fig4.3\">Figure 4.3<\/a>). Dry or wet sieving may be employed depending on the material and its size range. Wet sieving uses water to help carry the smallest particles down through the sieves with larger openings. At the end, each sieve is weighed (after drying if wet sieving was used) to determine the mass of ore retained by the sieve. Each sieve holds particles too big to pass through it and small enough to have passed through the sieve above. From this data the size distribution can be plotted. Each point represents a range of sizes. For instance if 7.75 g was retained by a 150 mesh sieve (105 \u03bcm) and the sieve above it was a 100 mesh sieve (149 \u03bcm), and the total mass of ore screened was 98.1 g then 7.75\/98.1 = 7.90% of it was &gt;105 \u03bcm and less than 149 \u03bcm (- 149 \u03bcm to +105 \u03bcm). Obviously the greater the number of sieves used, the better the resolution of the distribution curve. Regardless though, the analysis is discrete rather than continuous. <a href=\"#fig4.4\">Figure 4.4<\/a> shows an example of a sieve analysis. <a href=\"#fig4.4\">Table 4.1<\/a> illustrates the kind of data that is obtained. <a href=\"#fig4.4\">Figure 4.5<\/a> shows how the data can be plotted to obtain size distributions. Note that P80 is upper size below which 80% of the material resides. It's a common characteristic of a size distribution.\r\n\r\nSize analysis is prone to some errors that require care to correct or avoid. Sieve opening size for the same mesh may vary somewhat between manufacturers. Calibration using known size glass beads can lower this error. Screen opening sizes can be non-uniform. Misuse and rough handling or cleaning is a potential cause. If a ground material passes through in a matter of minutes and then there is no further material passing, the sieve is quite uniform. Too much sample is a common source of errors. Apparently 50-100 g for 8 inch diameter sieves is suitable. There are methods to test for errors caused by too much sample. It is challenging to obtain a representative sample from a large mass of a ground material. Wet sieving may be necessary when fine material can clump and then not pass through fine sieves. It may also be preferable for sieving fragile minerals. Standard methods for sieve analysis are available.<a id=\"fig4.3\"><\/a>\r\n\r\n[caption id=\"attachment_968\" align=\"alignnone\" width=\"1052\"]<img class=\"pb-hover-zoom wp-image-968 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker.png\" alt=\"Schematic diagram of a mechanical sieving device showing vertical hammer vibrations, a stacked sieve system, and horizontal pan vibrations.\" width=\"1052\" height=\"852\" \/> Figure 4.3 - Example of a sieve shaker (dry sieving). The sieve stack is vibrating back and forth while a hammer repeatedly drops onto a cover atop the sieve stack to provide vertical vibration.[\/caption]\r\n\r\n[caption id=\"attachment_969\" align=\"alignnone\" width=\"1202\"]<img class=\"pb-hover-zoom wp-image-969 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis.png\" alt=\"Diagram of a sieve analysis process for a 97.8\u202fg ore sample using stacked sieves: 170, 200, 270, 325 mesh, and a pan. Shows mass retained on each sieve and highlights the 170\u2013200 mesh fraction. Includes calculation of cumulative mass passing the 200 mesh sieve (73.8\u202fg or 75.5%)\" width=\"1202\" height=\"604\" \/> Figure 4.4 - Illustration of the outcome of a sieve analysis.[\/caption]\r\n\r\n<a id=\"fig4.4\"><\/a>[table id=73 \/]\r\n\r\n[caption id=\"attachment_970\" align=\"alignnone\" width=\"1330\"]<img class=\"pb-hover-zoom wp-image-970 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs.png\" alt=\"Two plots showing particle size distribution from sieve analysis. Plot A: cumulative % passing vs. sieve opening size (\u00b5m), with P\u2088\u2080 marked at 76.\u202f\u00b5m. Plot B: fraction retained (%) vs. sieve size, peaking near 150\u202f\u00b5m. Both plots illustrate material gradation and characteristic particle size.\" width=\"1330\" height=\"458\" \/> Figure 4.5 - Two ways to depict size distributions (based on the data of Table 6). (A) Cumulative fraction passing each sieve versus opening size. This is commonly used. The x axis is conventionally logarithmic. The size below which 80% of the material resides is called the P80. (B) Fraction retained versus sieve opening size.[\/caption]\r\n\r\n&nbsp;","rendered":"<p>Size reduction processes produce a range of particles sizes as indicated qualitatively in Figure 4.1 (below). It is important to know the size distribution of a crushed or ground ore that is being fed to the next steps in an extractive metallurgy process. Particle size has significant influences on concentration processes and leaching processes. Too small or too big and there can be significant losses in recovery of minerals or metals. Size distribution strongly affects rates of leaching processes. In heap leaching too much fine material can prevent solution flow, plugging heaps.<\/p>\n<figure id=\"attachment_966\" aria-describedby=\"caption-attachment-966\" style=\"width: 1354px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"pb-hover-zoom wp-image-966 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits.png\" alt=\"Three ore processing flowcharts labeled A, B, and C. A: traditional three-stage crushing with jaw, secondary, and tertiary crushers, followed by screening and grinding in ball or rod mills. B: simplified flow with gyratory crusher feeding directly into AG mill. C: semi-autogenous process with gyratory crusher, SAG mill, and screening.\" width=\"1354\" height=\"1320\" srcset=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits.png 1354w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-300x292.png 300w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-1024x998.png 1024w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-768x749.png 768w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-65x63.png 65w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-225x219.png 225w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F22_Size_Reduction_Circuits-350x341.png 350w\" sizes=\"auto, (max-width: 1354px) 100vw, 1354px\" \/><figcaption id=\"caption-attachment-966\" class=\"wp-caption-text\">Figure 4.1 (A) &#8211; This is a multi-machine size reduction circuit and probably not all that common anymore. Crushing circuit product is passed over a screen. Oversize material is rejected and returned to the tertiary crusher (also a cone crusher).Undersize material is fed to the grinding circuit. The rod mill produces a suitably uniform feed to ball mill for final fine grinding. Product from the ball is fed to a cyclone; oversize is recycled to the ball mill. (B) Crushed ore from a gyratory (primary) crusher here is suitable as a feed to an AG mill in which it is ground. The product is classified and oversize is returned to the AG mill. (C) Crushed ore from a gyratory crusher is fed to a SAG mill. The SAG mill product is screened. Undersize is fed to a ball mill, the product of which is classified by a hydroclone. Oversize returns to the ball mill.<\/figcaption><\/figure>\n<figure id=\"attachment_967\" aria-describedby=\"caption-attachment-967\" style=\"width: 1074px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"pb-hover-zoom wp-image-967 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier.png\" alt=\"Simplified flow diagram of an ore grinding circuit. Crushed ore enters a rod mill, then passes to a classifier that separates ground ore from coarse material. Ground ore exits the system; coarse material is sent to a ball mill for further grinding, with its output recirculated to the classifier\" width=\"1074\" height=\"518\" srcset=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier.png 1074w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-300x145.png 300w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-1024x494.png 1024w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-768x370.png 768w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-65x31.png 65w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-225x109.png 225w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F23_Size_Classifier-350x169.png 350w\" sizes=\"auto, (max-width: 1074px) 100vw, 1074px\" \/><figcaption id=\"caption-attachment-967\" class=\"wp-caption-text\">Figure 4.2 &#8211; Placement of a size classifier between a rod mill and a ball mill in a two-stage grinding circuit.<\/figcaption><\/figure>\n<p>Size analysis can be performed using automated equipment. For example, some size analysis instruments work on the principle of scattering of light. Different sizes scatter light to different extents. A laser light source is used. Careful calibration with known materials is required. A continuous size distribution plot (fraction of particles versus size) is obtained and the analysis can be done fairly quickly.<\/p>\n<p>A simple and commonly practiced size analysis technique is laboratory screening. A known mass of sample is introduced onto the top of a stack of sieves of varying opening sizes. The coarsest sieve is at the top, the finest is the second to last near the bottom. A pan is placed at the bottom of the stack to capture any material too fine to be retained by the finest sieve. The sieve stack is vibrated to facilitate passage of particles through the sieves (see <a href=\"#fig4.3\">Figure 4.3<\/a>). Dry or wet sieving may be employed depending on the material and its size range. Wet sieving uses water to help carry the smallest particles down through the sieves with larger openings. At the end, each sieve is weighed (after drying if wet sieving was used) to determine the mass of ore retained by the sieve. Each sieve holds particles too big to pass through it and small enough to have passed through the sieve above. From this data the size distribution can be plotted. Each point represents a range of sizes. For instance if 7.75 g was retained by a 150 mesh sieve (105 \u03bcm) and the sieve above it was a 100 mesh sieve (149 \u03bcm), and the total mass of ore screened was 98.1 g then 7.75\/98.1 = 7.90% of it was &gt;105 \u03bcm and less than 149 \u03bcm (- 149 \u03bcm to +105 \u03bcm). Obviously the greater the number of sieves used, the better the resolution of the distribution curve. Regardless though, the analysis is discrete rather than continuous. <a href=\"#fig4.4\">Figure 4.4<\/a> shows an example of a sieve analysis. <a href=\"#fig4.4\">Table 4.1<\/a> illustrates the kind of data that is obtained. <a href=\"#fig4.4\">Figure 4.5<\/a> shows how the data can be plotted to obtain size distributions. Note that P80 is upper size below which 80% of the material resides. It&#8217;s a common characteristic of a size distribution.<\/p>\n<p>Size analysis is prone to some errors that require care to correct or avoid. Sieve opening size for the same mesh may vary somewhat between manufacturers. Calibration using known size glass beads can lower this error. Screen opening sizes can be non-uniform. Misuse and rough handling or cleaning is a potential cause. If a ground material passes through in a matter of minutes and then there is no further material passing, the sieve is quite uniform. Too much sample is a common source of errors. Apparently 50-100 g for 8 inch diameter sieves is suitable. There are methods to test for errors caused by too much sample. It is challenging to obtain a representative sample from a large mass of a ground material. Wet sieving may be necessary when fine material can clump and then not pass through fine sieves. It may also be preferable for sieving fragile minerals. Standard methods for sieve analysis are available.<a id=\"fig4.3\"><\/a><\/p>\n<figure id=\"attachment_968\" aria-describedby=\"caption-attachment-968\" style=\"width: 1052px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"pb-hover-zoom wp-image-968 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker.png\" alt=\"Schematic diagram of a mechanical sieving device showing vertical hammer vibrations, a stacked sieve system, and horizontal pan vibrations.\" width=\"1052\" height=\"852\" srcset=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker.png 1052w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-300x243.png 300w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-1024x829.png 1024w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-768x622.png 768w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-65x53.png 65w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-225x182.png 225w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F24_Sieve_Shaker-350x283.png 350w\" sizes=\"auto, (max-width: 1052px) 100vw, 1052px\" \/><figcaption id=\"caption-attachment-968\" class=\"wp-caption-text\">Figure 4.3 &#8211; Example of a sieve shaker (dry sieving). The sieve stack is vibrating back and forth while a hammer repeatedly drops onto a cover atop the sieve stack to provide vertical vibration.<\/figcaption><\/figure>\n<figure id=\"attachment_969\" aria-describedby=\"caption-attachment-969\" style=\"width: 1202px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"pb-hover-zoom wp-image-969 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis.png\" alt=\"Diagram of a sieve analysis process for a 97.8\u202fg ore sample using stacked sieves: 170, 200, 270, 325 mesh, and a pan. Shows mass retained on each sieve and highlights the 170\u2013200 mesh fraction. Includes calculation of cumulative mass passing the 200 mesh sieve (73.8\u202fg or 75.5%)\" width=\"1202\" height=\"604\" srcset=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis.png 1202w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-300x151.png 300w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-1024x515.png 1024w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-768x386.png 768w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-65x33.png 65w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-225x113.png 225w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F25_Sieve_Analysis-350x176.png 350w\" sizes=\"auto, (max-width: 1202px) 100vw, 1202px\" \/><figcaption id=\"caption-attachment-969\" class=\"wp-caption-text\">Figure 4.4 &#8211; Illustration of the outcome of a sieve analysis.<\/figcaption><\/figure>\n<p><a id=\"fig4.4\"><\/a><\/p>\n<table id=\"tablepress-73\" class=\"tablepress tablepress-id-73\">\n<thead>\n<tr class=\"row-1\">\n<th colspan=\"7\" class=\"column-1\">Table 4.1 - Data and calculations for a sieve analysis<\/th>\n<\/tr>\n<tr class=\"row-2\">\n<th class=\"column-1\">Sieve (mesh)<\/th>\n<th class=\"column-2\">Opening (micrometer)<\/th>\n<th class=\"column-3\">Mass retained (g)<\/th>\n<th class=\"column-4\">Fraction retained %<\/th>\n<th class=\"column-5\">Log<sub>10<\/sub><\/th>\n<th class=\"column-6\">Cumulative mass passing sieve (g)<\/th>\n<th class=\"column-7\">Cumulative fraction passing %<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-3\">\n<td class=\"column-1\">170<\/td>\n<td class=\"column-2\">88<\/td>\n<td class=\"column-3\">4.44<\/td>\n<td class=\"column-4\">4.5<\/td>\n<td class=\"column-5\">1.94<\/td>\n<td class=\"column-6\">93.36<\/td>\n<td class=\"column-7\">95.5<\/td>\n<\/tr>\n<tr class=\"row-4\">\n<td class=\"column-1\">200<\/td>\n<td class=\"column-2\">74<\/td>\n<td class=\"column-3\">19.53<\/td>\n<td class=\"column-4\">20.0<\/td>\n<td class=\"column-5\">1.87<\/td>\n<td class=\"column-6\">73.83<\/td>\n<td class=\"column-7\">75.5<\/td>\n<\/tr>\n<tr class=\"row-5\">\n<td class=\"column-1\">270<\/td>\n<td class=\"column-2\">53<\/td>\n<td class=\"column-3\">44.5<\/td>\n<td class=\"column-4\">45.5<\/td>\n<td class=\"column-5\">1.72<\/td>\n<td class=\"column-6\">29.32<\/td>\n<td class=\"column-7\">30.0<\/td>\n<\/tr>\n<tr class=\"row-6\">\n<td class=\"column-1\">325<\/td>\n<td class=\"column-2\">44<\/td>\n<td class=\"column-3\">17.00<\/td>\n<td class=\"column-4\">17.4<\/td>\n<td class=\"column-5\">1.64<\/td>\n<td class=\"column-6\">12.32<\/td>\n<td class=\"column-7\">12.6<\/td>\n<\/tr>\n<tr class=\"row-7\">\n<td class=\"column-1\"><\/td>\n<td class=\"column-2\"><\/td>\n<td class=\"column-3\">12.32<\/td>\n<td class=\"column-4\">12.6<\/td>\n<td class=\"column-5\"><\/td>\n<td class=\"column-6\"><\/td>\n<td class=\"column-7\"><\/td>\n<\/tr>\n<tr class=\"row-8\">\n<td class=\"column-1\"><\/td>\n<td class=\"column-2\">Total<\/td>\n<td class=\"column-3\">97.8<\/td>\n<td class=\"column-4\"><\/td>\n<td class=\"column-5\"><\/td>\n<td class=\"column-6\"><\/td>\n<td class=\"column-7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><!-- #tablepress-73 from cache --><\/p>\n<figure id=\"attachment_970\" aria-describedby=\"caption-attachment-970\" style=\"width: 1330px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"pb-hover-zoom wp-image-970 size-full\" src=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs.png\" alt=\"Two plots showing particle size distribution from sieve analysis. Plot A: cumulative % passing vs. sieve opening size (\u00b5m), with P\u2088\u2080 marked at 76.\u202f\u00b5m. Plot B: fraction retained (%) vs. sieve size, peaking near 150\u202f\u00b5m. Both plots illustrate material gradation and characteristic particle size.\" width=\"1330\" height=\"458\" srcset=\"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs.png 1330w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-300x103.png 300w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-1024x353.png 1024w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-768x264.png 768w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-65x22.png 65w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-225x77.png 225w, https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-content\/uploads\/sites\/1991\/2025\/10\/Ch2_F26_Size_Distribution_Graphs-350x121.png 350w\" sizes=\"auto, (max-width: 1330px) 100vw, 1330px\" \/><figcaption id=\"caption-attachment-970\" class=\"wp-caption-text\">Figure 4.5 &#8211; Two ways to depict size distributions (based on the data of Table 6). (A) Cumulative fraction passing each sieve versus opening size. This is commonly used. The x axis is conventionally logarithmic. The size below which 80% of the material resides is called the P80. (B) Fraction retained versus sieve opening size.<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<div class=\"media-attributions clear\" prefix:cc=\"http:\/\/creativecommons.org\/ns#\" prefix:dc=\"http:\/\/purl.org\/dc\/terms\/\"><h2>Media Attributions<\/h2><ul><li >Ch2_F22_Size_Reduction_Circuits  &copy;  B\u00e9 Wassink and Amir M. Dehkoda    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC (Attribution NonCommercial)<\/a> license<\/li><li >Ch2_F23_Size_Classifier  &copy;  B\u00e9 Wassink and Amir M. Dehkoda    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC (Attribution NonCommercial)<\/a> license<\/li><li >Ch2_F24_Sieve_Shaker  &copy;  B\u00e9 Wassink and Amir M. Dehkoda  adapted by  Jeno Hwang  is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC (Attribution NonCommercial)<\/a> license<\/li><li >Ch2_F25_Sieve_Analysis  &copy;  B\u00e9 Wassink and Amir M. Dehkoda    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC (Attribution NonCommercial)<\/a> license<\/li><li >Ch2_F26_Size_Distribution_Graphs  &copy;  B\u00e9 Wassink and Amir M. Dehkoda    is licensed under a  <a rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC (Attribution NonCommercial)<\/a> license<\/li><\/ul><\/div>","protected":false},"author":2529,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2243","chapter","type-chapter","status-publish","hentry"],"part":2014,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapters\/2243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/wp\/v2\/users\/2529"}],"version-history":[{"count":11,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapters\/2243\/revisions"}],"predecessor-version":[{"id":3426,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapters\/2243\/revisions\/3426"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/parts\/2014"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapters\/2243\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/wp\/v2\/media?parent=2243"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/pressbooks\/v2\/chapter-type?post=2243"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/wp\/v2\/contributor?post=2243"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hydrometallurgy\/wp-json\/wp\/v2\/license?post=2243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}