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# Mixing Fluids

## Final mass and temperature when mixing fluids.

The final mass and temperature when mixing fluids are calculated below.

### Final Mass of Mixed Fluids

m = m1 + m2+ ... + m n (1)

where

m = final mass (kg, lb)

m 1..n = mass of substances

### Final Temperature of Mixed Fluids

t = (m1 c1 t1 + m2c2t2+ ... + m n c n t n ) / (m1 c1 + m2c2+ ... + m n c n )                         (2)

where

t = final temperature ( oC, oF)

c 1..n = specific heat of substances (kJ/kg oC, Btu/lb oF)

t 1..n = temperatures of substances ( oC, oF)

### Example - Mixing Water with Different Temperatures

10 kg of water with temperature 10 oC is mixed with 2 kg water with temperature 100 oC . Specific heat of water is 4.2 kJ/kg oC .

The final mass of the mixture is

m = (10 kg) + (2 kg)

= 12 kg

The final temperature of the mixture is

t = ((10 kg) (4.2 kJ/kg. oC ) (10 oC ) + (2 kg) (4.2 kJ/kg. oC ) (100 oC ) ) / ( (10 kg) (4.2 kJ/kg. oC ) + (2 kg) (4.2 kJ/kg. oC ) )

= 25 oC

### Mixing Fluids - Final Mass and Temperature Calculator

The calculator below can be used to calculate the final mass and temperature when mixing two fluids.

Fluid 1:

specific heat (kJ/kg oC, Btu/lb oF)

Fluid 2:

### Mixing Fluids - Required Temperature Calculator

Calculate required temperature for one of the fluids to achieve a final mixed temperature.

Mixture

Fluid 1:

Fluid 2:

### Mixing Fluids - Required Mass Calculator

Calculate required mass for one of the fluids to achieve a final mixed temperature.

Mixture

Fluid 1:

Fluid 2:

## Related Topics

• ### Fluid Mechanics

The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.

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## Citation

• The Engineering ToolBox (2011). Mixing Fluids. [online] Available at: https://www.engineeringtoolbox.com/mixing-fluids-temperature-mass-d_1785.html [Accessed Day Month Year].

Modify the access date according your visit.

4.19.9

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