{"id":8809,"date":"2023-01-13T08:50:32","date_gmt":"2023-01-13T07:50:32","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8809"},"modified":"2024-06-09T14:33:57","modified_gmt":"2024-06-09T13:33:57","slug":"how-to-calculate-and-solve-for-number-of-atoms-per-unit-volume-in-metals-imperfection-in-solids","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/13\/how-to-calculate-and-solve-for-number-of-atoms-per-unit-volume-in-metals-imperfection-in-solids\/","title":{"rendered":"How to Calculate and Solve for Number of Atoms per Unit Volume in Metals | Imperfection in Solids"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents number of atoms per unit volume in metals. To calculate number of atoms per unit volume in metals, three essential parameters are needed and these parameters are Avogadro’s Number (NA<\/sub>), Density of the Metal (\u03c1)\u00a0<\/strong>and\u00a0Area of the Metal (A).<\/strong><\/p>\n

The formula for calculating the number of atoms per unit volume in metals:<\/strong><\/h3>\n

N =\u00a0(NA<\/sub>)\u03c1<\/sup>\/A<\/sub><\/p>\n

Where:<\/p>\n

N = Number of Atoms per Unit Volume in Metals
\nNA<\/sub>\u00a0= Avogadro’s Number
\n\u03c1 = Density of the Metal<\/a>
\nA = Area of the Metal (in g\/mol)<\/p>\n

Given an example;
\nFind the number of atoms per unit volume in metals when the avogadro’s number is 6.023E23, the density of the metal is 10 and the area of the metal is 4.<\/p>\n

This implies that ;<\/p>\n

NA<\/sub> = Avogadro’s Number = 6.023E23
\n\u03c1 = Density of the Metal = 10
\nA = Area of the Metal = 4<\/p>\n

N =\u00a0(NA<\/sub>)\u03c1<\/sup>\/A<\/sub>
\nN =\u00a0(6.023e+23)(10)<\/sup>\/(4)<\/sub>
\nSo, N = (6.023e+24)<\/sup>\/4<\/sub>
\nN = 1.50575e+24<\/p>\n

Therefore, the\u00a0number of atoms per unit volume in metals\u00a0<\/strong>is\u00a01.50575e+24.<\/strong><\/p>\n

Calculating the Density of the Metal when the Number of Atoms per Unit Volume in Metals, the Avogadro’s Number and the Area of the Metal are Given<\/strong><\/h3>\n

\u03c1 = N x A<\/sup> \/ NA<\/sub><\/sub><\/p>\n

Where:<\/p>\n

\u03c1 = Density of the Metal
\nN = Number of Atoms per Unit Volume in Metals
\nNA<\/sub>\u00a0= Avogadro’s Number
\nA = Area of the Metal<\/p>\n

Let’s solve an example;
\nFind the density of the metal when the number of atoms per unit volume in metals is 15, the avogadro’s number is 6.023e+24 and the area of the metal is 10.<\/p>\n

This implies that;<\/p>\n

N = Number of Atoms per Unit Volume in Metals = 15
\nNA<\/sub> = Avogadro’s Number = 6.023e+24
\nA = Area of the Metal = 10<\/p>\n

\u03c1 = N x A<\/sup> \/ NA<\/sub><\/sub>
\nSo, \u03c1 = 15 x 10<\/sup> \/ 6.023e+24<\/sub>
\n\u03c1 = 150<\/sup> \/ 6.023e+24<\/sub>
\n\u03c1 = 2.49e-23<\/p>\n

Therefore, the\u00a0density of the metal\u00a0<\/strong>is\u00a02.49e-23.<\/strong><\/p>\n

Calculating the Area of the Metal when the Number of Atoms per Unit Volume in Metals, the Avogadro’s Number and the Density of the Metal are Given<\/strong><\/h3>\n

A = NA<\/sub> x \u03c1<\/sup> \/ N<\/sub><\/p>\n

Where:<\/p>\n

A = Area of the Metal
\nN = Number of Atoms per Unit Volume in Metals
\nNA<\/sub>\u00a0= Avogadro’s Number
\n\u03c1 = Density of the Metal<\/p>\n

Given an example;
\nFind the area of the metal when the number of atoms per unit volume in metals is 20, the avogadro’s number is 6.023e+24 and the density of the metal is 12.<\/p>\n

This implies that;<\/p>\n

N = Number of Atoms per Unit Volume in Metals = 20
\nNA<\/sub> = Avogadro’s Number = 6.023e+24
\n\u03c1 = Density of the Metal = 12<\/p>\n

A = NA<\/sub> x \u03c1<\/sup> \/ N<\/sub>
\nThen, A = 6.023e+24 x 12<\/sup> \/ 20<\/sub>
\nA = 7.227e+25<\/sup> \/ 20<\/sub>
\nA = 3.613e-24<\/p>\n

Therefore, the\u00a0area of the metal\u00a0<\/strong>is\u00a03.613e-24.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Equilibrium Number of Vacancies | Imperfection in Solids<\/a><\/p>\n

How to Calculate Number of Atoms per Unit Volume in Metals With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the number of atoms per unit volume in metal.<\/p>\n

\n

To get the answer and workings of the number of atoms per unit volume in metal 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\u00a0Imperfection in Solids<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Number of Atoms per Unit Volume in Metal<\/strong>\u00a0<\/strong>under\u00a0Imperfection in Solids<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the number of atoms per unit volume in metal according to the respective parameter which is the Avogadro’s Number (NA<\/sub>), Density of the Metal (\u03c1)\u00a0<\/strong>and\u00a0Area of the Metal (A).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Avogadro’s Number (NA<\/sub>)<\/strong> is 6.023e+24<\/strong>, Density of the Metal (\u03c1)<\/strong> is 10 <\/strong>and Area of the Metal (A)<\/strong> is 4<\/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 number of atoms per unit volume in metal and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents number of atoms per unit volume in metals. To calculate number of atoms per…","protected":false},"author":5,"featured_media":16802,"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":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[2408,863,2119,60,2410,543,2409],"class_list":["post-8809","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-area-of-the-metal","tag-avogadros-number","tag-density-of-the-metal","tag-engineering","tag-imperfection-in-solid","tag-materials-and-metallurgical","tag-number-of-atoms-per-unit-volume-in-metal","cs-entry"],"yoast_head":"\nHow 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