Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Mixing Liquids and/or Solids - Final Temperatures

Calculate the final temperature when liquids or solids are mixed

Sponsored Links

When liquids and/or solids with different temperatures are mixed together - the final mixed temperature can be calculated as

tf = (m1 cp1 t1 + m2 cp2 t2 + .... + mn cpn tn) / (m1 cp1 + m2 cp2 + .... + mn cpn)                               (1)


tf = final mixed temperature (oC)

m = mass of substance (kg)

cp = specific heat of substance (J/kgoC)

t = temperature of substance (oC)

Example - a heated stone in a bucket of water

A granite stone of 1 kg (specific heat 790 J/kg.oC) is heated to 100 oC and added to a bucket of 10 kg water (specific heat 4186 J/kgoC) at 20 oC. The final temperature of the water - stone "mix" can be calculated as

tf = ((1 kg) (790 J/kgoC) (100 oC) + (10 kg) (4186 J/kgoC) (20 oC)) / ((1 kg) (790 J/kgoC) + (10 kg) (4186 J/kgoC))

   = 21.5 oC

Mixed Temperature Calculator

The calculator below is based on eq. 1 and can be used to calculate the final - strike - temperature when two liquids or solids - or a liquid and a solid - is mixed together.

m1 - mass (kg)

cp1specific heat of substance (J/kgoC)

t1 - temperature (oC)

m2 - mass (kg)

cp2specific heat of substance (J/kgoC)

t2 - temperature (oC)

Mixing Liquids and/or Solids - Final Temperatures Spreadsheet Calculation

The Google Docs spreadsheet below can be used to calculate final temperature when mixing fluids or solids. You can copy or download the spreadsheet to make your own copy.

Mixing fluids and/or solids - final temperature

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: mixing liquid solids final temperatures
Sponsored Links

Search the Engineering ToolBox

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!


This page can be cited as

  • Engineering ToolBox, (2011). Mixing Liquids and/or Solids - Final Temperatures. [online] Available at: [Accessed Day Mo. Year].

Modify access date.

Customize Ads in the ToolBox

Make ads more useful in Google Ad Settings .

. .


3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Scientific Online Calculator

Scientific Calculator

11 2

Sponsored Links