{"id":7116,"date":"2022-07-12T04:53:23","date_gmt":"2022-07-12T03:53:23","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7116"},"modified":"2024-05-24T14:30:36","modified_gmt":"2024-05-24T13:30:36","slug":"how-to-calculate-and-solve-for-dryness-fraction-at-constant-volume-heating-or-cooling-enthalpy","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/07\/12\/how-to-calculate-and-solve-for-dryness-fraction-at-constant-volume-heating-or-cooling-enthalpy\/","title":{"rendered":"How to Calculate and Solve for Dryness Fraction at Constant Volume Heating or Cooling | Enthalpy"},"content":{"rendered":"

The dryness fraction at constant volume heating or cooling is illustrated by the image below. To calculate the dryness fraction at constant volume heating or cooling, four essential parameters are needed and these parameters are Specific Volume of Gas at Point 2 (Vg2<\/sub>), Specific Volume of Gas at Point 1 (Vg1<\/sub>), Superheated Steam Temprature (Tsup<\/sub>)<\/strong> and Saturated Temprature (Ts<\/sub>)<\/strong>.<\/p>\n

\"\"<\/strong><\/h3>\n

The formula for calculating dryness fraction at constant volume heating or cooling:<\/strong><\/h3>\n

x =\u00a0Vg2<\/sub>\u00a0Tsup<\/sub><\/sup>\u00a0\/\u00a0Vg1\u00a0Ts<\/sub><\/p>\n

Where:<\/p>\n

x = Dryness Fraction
\nVg2<\/sub>\u00a0= Specific Volume of Gas at Point 2
\nVg1<\/sub>\u00a0= Specific Volume of Gas at Point 1
\nTsup<\/sub>\u00a0= Superheated Steam Temprature
\nTs<\/sub>\u00a0= Saturated Temprature<\/p>\n

Given an example;
\nFind the dryness fraction when the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 9, the superheated steam temperature is 6 and the saturated temperature is 2.<\/p>\n

This implies that;<\/p>\n

Vg2<\/sub> = Specific Volume of Gas at Point 2 =4
\nVg1<\/sub> = Specific Volume of Gas at Point 1 = 9
\nTsup<\/sub> = Superheated Steam Temprature = 6
\nTs<\/sub> = Saturated Temprature = 2<\/p>\n

x =\u00a0Vg2<\/sub>\u00a0Tsup<\/sub><\/sup>\u00a0\/\u00a0Vg1<\/sub>\u00a0Ts<\/sub><\/sub>
\nSo, x = 4 x 6<\/sup>\u00a0\/\u00a09 x 2<\/sub>
\nx =\u00a024<\/sup>\u00a0\/\u00a018<\/sub>
\nx = 1.33<\/p>\n

Therefore, the\u00a0dryness fraction\u00a0<\/strong>is\u00a01.33.<\/strong><\/p>\n

Calculating the Specific Volume of Gas at Point 2 when the Dryness Fraction, the Specific Volume of Gas at Point 1, the Superheated Steam Temperature and the Saturated Temperature are Given<\/strong><\/h3>\n

Vg2<\/sub> = x(Vg1<\/sub> Ts<\/sub>)<\/sup> \/ Tsup<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Vg2<\/sub>\u00a0= Specific Volume of Gas at Point 2
\nx = Dryness Fraction
\nVg1<\/sub>\u00a0= Specific Volume of Gas at Point 1
\nTsup<\/sub>\u00a0= Superheated Steam Temprature
\nTs<\/sub>\u00a0= Saturated Temprature<\/p>\n

Let’s solve an example;
\nFind the specific volume of gas at point 2 when the dryness fraction is 10, the specific volume of gas at point 1 is 4, the superheated steam temperature is 12 and the saturated temperature is 2.<\/p>\n

This implies that;<\/p>\n

x = Dryness Fraction = 10
\nVg1<\/sub> = Specific Volume of Gas at Point 1 = 4
\nTsup<\/sub> = Superheated Steam Temprature = 12
\nTs<\/sub> = Saturated Temprature = 2<\/p>\n

Vg2<\/sub> = x(Vg1<\/sub> Ts<\/sub>)<\/sup> \/ Tsup<\/sub><\/sub>
\nThen, Vg2<\/sub> = 10(4)(2)<\/sup> \/ 12<\/sub>
\nVg2<\/sub> = 80<\/sup> \/ 12<\/sub>
\nVg2<\/sub> = 6.67<\/p>\n

Therefore, the\u00a0specific volume of gas at point 2\u00a0<\/strong>is\u00a06.67<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Dryness Fraction | Enthalpy<\/a><\/p>\n

Calculating the Specific Volume of Gas at Point 1 when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Superheated Steam Temperature and the Saturated Temperature are Given<\/strong><\/h3>\n

Vg1<\/sub> = Vg2<\/sub> Tsup<\/sub><\/sup> \/ x Ts<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Vg1<\/sub>\u00a0= Specific Volume of Gas at Point 1
\nx = Dryness Fraction
\nVg2<\/sub>\u00a0= Specific Volume of Gas at Point 2
\nTsup<\/sub>\u00a0= Superheated Steam Temprature
\nTs<\/sub>\u00a0= Saturated Temprature<\/p>\n

Let’s solve an example;
\nFind the specific volume of gas at point 1 when the dryness fraction is 8, the specific volume of gas at point 2 is 4, the superheated steam temperature is 12 and the saturated temperature is 2.<\/p>\n

This implies that;<\/p>\n

x = Dryness Fraction = 8
\nVg2<\/sub> = Specific Volume of Gas at Point 2 = 4
\nTsup<\/sub> = Superheated Steam Temprature = 12
\nTs<\/sub> = Saturated Temprature = 2<\/p>\n

Vg1<\/sub> = Vg2<\/sub> Tsup<\/sub><\/sup> \/ x Ts<\/sub><\/sub>
\nSo, Vg1<\/sub> = (4)(12)<\/sup> \/ (8)(2)<\/sub>
\nVg1<\/sub> = 48<\/sup> \/ 16<\/sub>
\nVg1<\/sub> = 3<\/p>\n

Therefore, the\u00a0specific volume of gas at point 1\u00a0<\/strong>is\u00a03.<\/strong><\/p>\n

Calculating the Superheated Steam Temperature when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Specific Volume of Gas at Point 1 and the Saturated Temperature are Given<\/strong><\/h3>\n

Tsup<\/sub> = x(Vg1<\/sub> Ts<\/sub>)<\/sup> \/ Vg2<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Tsup<\/sub>\u00a0= Superheated Steam Temprature
\nx = Dryness Fraction
\nVg2<\/sub>\u00a0= Specific Volume of Gas at Point 2
\nVg1<\/sub>\u00a0= Specific Volume of Gas at Point 1
\nTs<\/sub>\u00a0= Saturated Temprature<\/p>\n

Let’s solve an example;
\nFind the superheated steam temperature when the dryness fraction is 14, the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 3 and the saturated temperature is 2.<\/p>\n

This implies that;<\/p>\n

x = Dryness Fraction = 14
\nVg2<\/sub> = Specific Volume of Gas at Point 2 = 4
\nVg1<\/sub> = Specific Volume of Gas at Point 1 = 3
\nTs<\/sub> = Saturated Temprature = 2<\/p>\n

Tsup<\/sub> = x(Vg1<\/sub> Ts<\/sub>)<\/sup> \/ Vg2<\/sub><\/sub>
\nSo, Tsup<\/sub> = 14(3)(2)<\/sup> \/ 4<\/sub>
\nTsup<\/sub> = 84<\/sup> \/ 4<\/sub>
\nTsup<\/sub> = 21<\/p>\n

Therefore, the\u00a0superheated steam<\/a> temperature\u00a0<\/strong>is\u00a021.<\/strong><\/p>\n

Calculating the Saturated Temperature when the Dryness Fraction, the Specific Volume of Gas at Point 2, the Specific Volume of Gas at Point 1 and the Superheated Steam Temperature are Given<\/strong><\/h3>\n

Ts<\/sub> = Vg2<\/sub> Tsup<\/sub><\/sup> \/ x Vg1<\/sub><\/sub><\/p>\n

Where:<\/p>\n

Ts<\/sub>\u00a0= Saturated Temprature
\nx = Dryness Fraction
\nVg2<\/sub>\u00a0= Specific Volume of Gas at Point 2
\nVg1<\/sub>\u00a0= Specific Volume of Gas at Point 1
\nTsup<\/sub> = Superheated Steam Temprature<\/p>\n

Let’s solve an example;
\nFind the saturated temperature when the dryness fraction is 8, the specific volume of gas at point 2 is 4, the specific volume of gas at point 1 is 10 and the superheated steam temperature is 16.<\/p>\n

This implies that;<\/p>\n

x = Dryness Fraction = 8
\nVg2<\/sub> = Specific Volume of Gas at Point 2 = 4
\nVg1<\/sub> = Specific Volume of Gas at Point 1 = 10
\nTsup<\/sub> = Superheated Steam Temprature = 16<\/p>\n

Ts<\/sub> = Vg2<\/sub> Tsup<\/sub><\/sup> \/ x Vg1<\/sub><\/sub>
\nSo, Ts<\/sub> = (4)(16)<\/sup> \/ (8)(10)<\/sub>
\nTs<\/sub> = 64<\/sup> \/ 80<\/sub>
\nTs<\/sub> = 0.8<\/p>\n

Therefore, the\u00a0saturated temperature\u00a0<\/strong>is\u00a00.8<\/strong><\/p>\n

How to Calculate the Dryness Fraction at Constant Volume Heating or Cooling With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the dryness fraction at constant volume heating or cooling.<\/p>\n

\n

To get the answer and workings of the dryness fraction at constant volume heating or cooling 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\u00a0Chemical Reaction Thermodynamics<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Enthalpy<\/strong>\u00a0under\u00a0Chemical Reaction Thermodynamics
\n<\/strong><\/p>\n

\"\"<\/p>\n

So, Click on Dryness Fraction at Constant Volume Heating or Cooling\u00a0<\/strong>under\u00a0Enthalpy<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the dryness fraction at constant volume heating or cooling according to the respective parameter which is the Specific Volume of Gas at Point 2 (Vg2<\/sub>), Specific Volume of Gas at Point 1 (Vg1<\/sub>), Superheated Steam Temprature (Tsup<\/sub>)<\/strong> and Saturated Temprature (Ts<\/sub>)<\/strong>.<\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Specific Volume of Gas at Point 2 (Vg2<\/sub>)<\/strong> is 4<\/strong>, Specific Volume of Gas at Point 1 (Vg1<\/sub>)<\/strong> is 9<\/strong>, Superheated Steam Temprature (Tsup<\/sub>) <\/strong>is 6<\/strong>\u00a0and Saturated Temprature (Ts<\/sub>) <\/strong>is 2<\/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 can calculate the dryness fraction at constant volume heating or cooling and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The dryness fraction at constant volume heating or cooling is illustrated by the image below. To calculate the…","protected":false},"author":5,"featured_media":15649,"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":[1982,2014,60,1981,1988,2013,2012,2010],"class_list":["post-7116","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-chemical-reaction-thermodynamics","tag-dryness-fraction-at-constant-volume-heating-or-cooling","tag-engineering","tag-enthalpy","tag-saturated-temperature","tag-specific-volume-of-gas-at-point-1","tag-specific-volume-of-gas-at-point-2","tag-superheated-steam-temperature","cs-entry"],"yoast_head":"\nHow 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