{"id":6127,"date":"2021-09-24T00:57:33","date_gmt":"2021-09-23T23:57:33","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6127"},"modified":"2024-05-14T08:37:48","modified_gmt":"2024-05-14T07:37:48","slug":"how-to-calculate-and-solve-for-volumetric-heat-capacity-of-metal-energy-transport","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/09\/24\/how-to-calculate-and-solve-for-volumetric-heat-capacity-of-metal-energy-transport\/","title":{"rendered":"How to Calculate and Solve for Volumetric Heat Capacity of Metal | Energy Transport"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents volumetric heat capacity of metal. To calculate the volumetric heat capacity of metal, four essential parameters are needed and these parameters are Fermi Energy (\u03b5f<\/sub>), Number of Free Electrons (ne<\/sub>), Temperature (T)<\/strong> and Boltzmann’s Constant (KB<\/sub>).<\/strong><\/p>\n

The formula for calculating the volumetric heat capacity of metal:<\/strong><\/h3>\n

cvol<\/sub> = \u03c0\u00b2ne<\/sub>KB<\/sub>\u00b2T<\/sup> \/ 2\u03b5f<\/sub><\/p>\n

Where:<\/p>\n

cvol<\/sub> = Volumetric Heat Capacity of Metal
\n\u03b5f<\/sub> = Fermi Energy
\nne<\/sub> = Number of Free Electrons
\nT = Temperature
\nKB<\/sub> = Boltzmann’s Constant<\/p>\n

Let’s solve an example;
\nFind the volumetric heat capacity of metal when the fermi energy is 4, the number of free electrons is 2, the temperature is 5 and the boltzmann’s constant is 1.38E-23.<\/p>\n

This implies that;<\/p>\n

\u03b5f<\/sub> = Fermi Energy = 4
\nne<\/sub> = Number of Free Electrons = 2
\nT = Temperature = 5
\nKB<\/sub> = Boltzmann’s Constant = 1.38E-23<\/p>\n

cvol<\/sub> = \u03c0\u00b2ne<\/sub>KB<\/sub>\u00b2T<\/sup> \/ 2\u03b5f<\/sub>
\ncvol<\/sub> = \u03c0\u00b2(2)(1.380e-23)\u00b2(5)<\/sup> \/ 2(4)<\/sub>
\nSo, cvol<\/sub> = (9.869)(2)(1.90e-46)(5)<\/sup> \/ 8<\/sub>
\ncvol<\/sub> = 1.88e-44<\/sup> \/ 8<\/sub>
\ncvol<\/sub> = 2.35e-45<\/p>\n

Therefore, the volumetric heat capacity of metal <\/strong>is 2.35e-45 J\/K.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Stefan Boltzmann’s Constant | Radiation Heat Transfer<\/a><\/p>\n

How to Calculate the Volumetric Heat Capacity of Metal Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the volumetric heat capacity of metal.<\/p>\n

\n

To get the answer and workings of the volumetric heat capacity of 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 <\/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 Energy Transport <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Volumetric Heat Capacity of Metal <\/strong>under Energy Transport
\n<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the volumetric heat capacity of metal according to the respective parameter which is the Fermi Energy (\u03b5f<\/sub>), Number of Free Electrons (ne<\/sub>), Temperature (T)<\/strong> and Boltzmann’s Constant (KB<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Fermi Energy (\u03b5f<\/sub>)<\/strong> is 4<\/strong>, Number of Free Electrons (ne<\/sub>)<\/strong> is 2<\/strong>, Temperature (T)\u00a0<\/strong>is\u00a05<\/strong> and Boltzmann’s Constant (KB<\/sub>)<\/strong> is 1.38E-23<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the volumetric heat capacity of metal and presents the formula, workings and steps, too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents volumetric heat capacity of metal. To calculate the volumetric heat capacity of metal, four…","protected":false},"author":5,"featured_media":15170,"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":[873,1732,60,1761,543,1762,75,1763],"class_list":["post-6127","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-boltzmanns-constant","tag-energy-transport","tag-engineering","tag-fermi-energy","tag-materials-and-metallurgical","tag-numbers-of-free-electrons","tag-temperature","tag-volumetric-heat-capacity-of-metal","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Volumetric Heat Capacity of Metal | Energy Transport<\/title>\n<meta name=\"description\" content=\"Learn the steps and the formula on How to Calculate Volumetric Heat Capacity of Metal Energy Transport. 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