# 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 + ... + mn                               (1)

where

m = final mass (kg, lb)

m1..n = mass of substances

### Final Temperature of Mixed Fluids

t = (m1 c1 t1 + m2 c2 t2 + ... + mn cn tn) / (m1 c1 + m2 c2 + ... + mn cn)                         (2)

where

t = final temperature (oC, oF)

c1..n = specific heat of substances (kJ/kgoC, Btu/lboF)

t1..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/kgoC.

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:

mass (kg, lb)

temperature (oC, oF)

specific heat (kJ/kgoC, Btu/lboF)

Fluid 2:

mass (kg, lb)

temperature (oC, oF)

specific heat (kJ/kgoC, Btu/lboF)

### Mixing Fluids - Required Temperature Calculator

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

Mixture

final temperature (oC, oF)

Fluid 1:

mass (kg, lb)

temperature (oC, oF)

specific heat (kJ/kgoC, Btu/lboF)

Fluid 2:

mass (kg, lb)

specific heat (kJ/kgoC, Btu/lboF)

### Mixing Fluids - Required Mass Calculator

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

Mixture

final temperature (oC, oF)

Fluid 1:

mass (kg, lb)

temperature (oC, oF)

specific heat (kJ/kgoC, Btu/lboF)

Fluid 2:

temperature (oC, oF)

specific heat (kJ/kgoC, Btu/lboF)

## Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves velocity, pressure, density and temperature as functions of space and time

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