{"id":7563,"date":"2022-08-03T03:21:21","date_gmt":"2022-08-03T02:21:21","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7563"},"modified":"2024-05-27T17:23:29","modified_gmt":"2024-05-27T16:23:29","slug":"how-to-calculate-and-solve-for-pilling-bedworth-ratio-corrosion","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/08\/03\/how-to-calculate-and-solve-for-pilling-bedworth-ratio-corrosion\/","title":{"rendered":"How to Calculate and Solve for Pilling Bedworth Ratio | Corrosion"},"content":{"rendered":"

The pilling bedworth ratio is illustrated by the image below. To calculate the pilling bedworth ratio, four essential parameters are needed, and these parameters are the Weight of the Oxide (Ao), the Weight of the Metal (Am), the Density of the Oxide (\u03c1o), and the Density of the Metal (\u03c1m).<\/p>\n

\"\"<\/p>\n

The formula for calculating the Pilling Bedworth ratio:<\/strong><\/h3>\n

PBR =\u00a0Ao<\/sub>\u03c1m<\/sub><\/sup>\/Am\u03c1o<\/sub><\/p>\n

Where:<\/p>\n

PBR = Pilling-Bedworth Ratio
\nAo<\/sub>\u00a0= Weight of the Oxide
\nAm<\/sub>\u00a0= Weight of the Metal
\n\u03c1o<\/sub>\u00a0= Density of the Oxide
\n\u03c1m<\/sub>\u00a0= Density of the Metal<\/p>\n

Let’s solve an example;
\nFind the pilling bedworth ratio when the weight of the oxide is 21, the weight of the metal is 7, the density of the oxide is 14 and the density of the metal is 2.<\/p>\n

This implies that;<\/p>\n

Ao<\/sub> = Weight of the Oxide = 22
\nAm<\/sub> = Weight of the Metal = 7
\n\u03c1o<\/sub> = Density of the Oxide = 14
\n\u03c1m<\/sub> = Density of the Metal = 2<\/p>\n

PBR =\u00a0Ao<\/sub>\u03c1m<\/sub><\/sup>\/Am\u03c1o<\/sub>
\nPBR =\u00a0(21)(2)<\/sup>\/(7)(14)<\/sub>
\nAnd then, PBR = (42)<\/sup>\/(98)<\/sub>
\nPBR = 0.428<\/p>\n

Therefore, the\u00a0pilling bedworth ratio\u00a0<\/strong>is\u00a00.428.<\/strong><\/p>\n

Calculating the Weight of the Oxide when the Pilling Bedworth Ratio, the Weight of the Metal, the Density of the Oxide and the Density of the Metal are Given<\/strong><\/h3>\n

Ao<\/sub> = PBR x Am<\/sub>\u03c1o<\/sub><\/sup> \/ \u03c1m<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Ao<\/sub>\u00a0= Weight of the Oxide
\nPBR = Pilling-Bedworth Ratio
\nAm<\/sub>\u00a0= Weight of the Metal
\n\u03c1o<\/sub>\u00a0= Density of the Oxide
\n\u03c1m<\/sub>\u00a0= Density of the Metal<\/p>\n

Let’s solve an example;
\nGiven that the pilling bedworth ratio is 10, the weight of the metal is 4, the density of the oxide is 2 and the density of the metal is 8. Find the weight of the oxide?<\/p>\n

This implies that;<\/p>\n

PBR = Pilling-Bedworth Ratio = 10
\nAm<\/sub> = Weight of the Metal = 4
\n\u03c1o<\/sub> = Density of the Oxide = 2
\n\u03c1m<\/sub> = Density of the Metal = 8<\/p>\n

Ao<\/sub> = PBR x Am<\/sub>\u03c1o<\/sub><\/sup> \/ \u03c1m<\/sub><\/sub>
\nAo<\/sub> = 10 x (4)(2)<\/sup> \/ 8<\/sub>
\nSo, Ao<\/sub> = 10 x 8<\/sup> \/ 8<\/sub>
\nAo<\/sub> = 80<\/sup> \/ 8<\/sub>
\nAo<\/sub> = 10<\/p>\n

Therefore, the\u00a0weight of the oxide\u00a0<\/strong>is\u00a010.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Corrosion Rate | Corrosion<\/a><\/p>\n

Calculating the Weight of the Metal when the Pilling Bedworth Ratio, the Weight of the Oxide, the Density of the Oxide and the Density of the Metal are Given<\/strong><\/h3>\n

Am<\/sub> = Ao<\/sub>\u03c1m<\/sub><\/sup> \/ PBR x \u03c1o<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Am<\/sub>\u00a0= Weight of the Metal
\nPBR = Pilling-Bedworth Ratio
\nAo<\/sub>\u00a0= Weight of the Oxide
\n\u03c1o<\/sub>\u00a0= Density of the Oxide
\n\u03c1m<\/sub>\u00a0= Density of the Metal<\/p>\n

Let’s solve an example;
\nGiven that the pilling bedworth ratio is 20, the weight of the oxide is 14, the density of the oxide is 18 and the density of the metal is 10. Find the weight of the metal?<\/p>\n

This implies that;<\/p>\n

PBR = Pilling-Bedworth Ratio = 20
\nAo<\/sub> = Weight of the Oxide = 14
\n\u03c1o<\/sub> = Density of the Oxide = 18
\n\u03c1m<\/sub> = Density of the Metal = 10<\/p>\n

Am<\/sub> = Ao<\/sub>\u03c1m<\/sub><\/sup> \/ PBR x \u03c1o<\/sub><\/sub>
\nSo, Am<\/sub> = (14)(10)<\/sup> \/ 20 x 18<\/sub>
\nAm<\/sub> = 140<\/sup> \/ 360<\/sub>
\nAm<\/sub> = 0.388<\/p>\n

Therefore, the\u00a0weight of the metal <\/strong>is\u00a00.388.<\/strong><\/p>\n

Calculating the Density of the Oxide when the Pilling Bedworth Ratio, the Weight of the Metal, the Weight of the Oxide and the Density of the Metal are Given<\/strong><\/h3>\n

\u03c1o<\/sub> = Ao<\/sub>\u03c1m<\/sub><\/sup> \/ PBR x Am<\/sub><\/sub><\/p>\n

Where:<\/p>\n

\u03c1o<\/sub>\u00a0= Density of the Oxide
\nPBR = Pilling-Bedworth Ratio
\nAo<\/sub>\u00a0= Weight of the Oxide
\nAm<\/sub>\u00a0= Weight of the Metal
\n\u03c1m<\/sub>\u00a0= Density of the Metal<\/p>\n

Let’s solve an example;
\nFind the density of the oxide when the pilling -bedworth ratio is 24, the weight of the oxide is 28, the weight of the metal is 20 and the density of the metal is 10.<\/p>\n

This implies that;<\/p>\n

PBR = Pilling-Bedworth Ratio = 24
\nAo<\/sub> = Weight of the Oxide = 28
\nAm<\/sub> = Weight of the Metal = 20
\n\u03c1m<\/sub> = Density of the Metal = 10<\/p>\n

\u03c1o<\/sub> = Ao<\/sub>\u03c1m<\/sub><\/sup> \/ PBR x Am<\/sub><\/sub>
\nAnd then, \u03c1o<\/sub> = (28)(10)<\/sup> \/ 24 x 20<\/sub>
\n\u03c1o<\/sub> = 280<\/sup> \/ 480<\/sub>
\n\u03c1o<\/sub> = 0.583<\/p>\n

Therefore, the\u00a0density of the oxide\u00a0<\/strong>is\u00a00.583.<\/strong><\/p>\n

Calculating the Density of the Metal when the Pilling Bedworth Ratio, the Weight of the Metal, the Weight of the Oxide and the Density of the Oxide is Given<\/strong><\/h3>\n

\u03c1m<\/sub> = PBR x Am<\/sub>\u03c1o<\/sub><\/sup> \/ Ao<\/sub><\/sub><\/p>\n

Where:<\/p>\n

\u03c1m<\/sub>\u00a0= Density of the Metal
\nPBR = Pilling-Bedworth Ratio
\nAo<\/sub>\u00a0= Weight of the Oxide
\nAm<\/sub>\u00a0= Weight of the Metal
\n\u03c1o<\/sub> = Density of the Oxide<\/p>\n

Let’s solve an example;
\nFind the density of the metal when the pilling bedworth ratio is 15, the weight of the oxide is 5, the weight of the metal is 3 and the density of the oxide is 10.<\/p>\n

This implies that;<\/p>\n

PBR = Pilling-Bedworth Ratio = 15
\nAo<\/sub> = Weight of the Oxide = 5
\nAm<\/sub> = Weight of the Metal = 3
\n\u03c1o<\/sub> = Density of the Oxide = 10<\/p>\n

That is, \u03c1m<\/sub> = PBR x Am<\/sub>\u03c1o<\/sub><\/sup> \/ Ao<\/sub><\/sub>
\n\u03c1m<\/sub> = 15 x (3)(10)<\/sup> \/ 5<\/sub>
\nSo, \u03c1m<\/sub> = 15 x 30<\/sup> \/ 5<\/sub>
\n\u03c1m<\/sub> = 450<\/sup> \/ 5<\/sub>
\n\u03c1m<\/sub> = 90<\/p>\n

Therefore, the\u00a0density of the metal\u00a0<\/strong>is\u00a090.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Concentration Polarization | Corrosion<\/a><\/p>\n

How to Calculate Pilling Bedworth Ratio Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013 The Calculator Encyclopedia<\/strong> is capable of calculating the pilling bedworth ratio<\/p>\n

\n

To get the answer and workings of the pilling bedworth ratio using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Corrosion<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Pilling Bedworth Ratio<\/strong>\u00a0under Corrosion<\/b><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the pilling bedworth ratio according to the respective parameter which is the Weight of the Oxide (Ao<\/sub>), Weight of the Metal (Am<\/sub>), Density of the Oxide (\u03c1o<\/sub>)<\/strong> and Density of the Metal (\u03c1m<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Weight of the Oxide (Ao<\/sub>)<\/strong> is 21<\/strong>, Weight of the Metal (Am<\/sub>)<\/strong> is 7<\/strong>, Density of the Oxide (\u03c1o<\/sub>) <\/strong>is 14<\/strong>\u00a0and Density of the Metal (\u03c1m<\/sub>)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the pilling bedworth ratio and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The pilling bedworth ratio is illustrated by the image below. To calculate the pilling bedworth ratio, four essential…","protected":false},"author":5,"featured_media":15910,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[1490,2119,2118,60,543,2120,2117,2116],"class_list":["post-7563","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-corrosion","tag-density-of-the-metal","tag-density-of-the-oxide","tag-engineering","tag-materials-and-metallurgical","tag-pilling-bedworth-ratio","tag-weight-of-the-metal","tag-weight-of-the-oxide","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Pilling Bedworth Ratio | Corrosion<\/title>\n<meta name=\"description\" content=\"Master the right steps and the formula on How to Calculate and Solve for Pilling Bedworth Ratio. 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