# Mixing Fluids

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

### Final Mass of Mixed Fluids

* m = m _{ 1 } + m _{ 2 } + ... + m _{ n } (1) *

* where *

* m = final mass (kg, lb) *

* m _{ 1..n } = mass of substances *

### Final Temperature of Mixed Fluids

* t = (m _{ 1 } c _{ 1 } t _{ 1 } + m _{ 2 } c _{ 2 } t _{ 2 } + ... + m _{ n } c _{ n } t _{ n } ) / (m _{ 1 } c _{ 1 } + m _{ 2 } c _{ 2 } + ... + m _{ n } c _{ n } ) (2) *

* where *

* t = final temperature ( ^{ o } C, ^{ o } F) *

* c _{ 1..n } = specific heat of substances (kJ/kg ^{ o } C, Btu/lb ^{ o } F) *

* t _{ 1..n } = temperatures of substances ( ^{ o } C, ^{ o } F) *

### Example - Mixing Water with Different Temperatures

* 10 kg * of water with temperature * 10 ^{ o } C * is mixed with

*2 kg*water with temperature

*100*. Specific heat of water is

^{ o }C*4.2 kJ/kg*.

^{ o }CThe 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. ^{ o } C ) (10 ^{ o } C ) + (2 kg) (4.2 kJ/kg. ^{ o } C ) (100 ^{ o } C ) ) / ( (10 kg) (4.2 kJ/kg. ^{ o } C ) + (2 kg) (4.2 kJ/kg. ^{ o } C ) ) *

* = 25 ^{ o } C *

### 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 ^{ o } C, Btu/lb ^{ o } F) *

** 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.

## Related Documents

### Domestic Hot Water Service Systems - Design Procedures

Design procedures for domestic hot water service systems.

### Liquids and Fluids - Specific Heats

Specific heats for some common liquids and fluids - acetone, oil, paraffin, water and many more.

### Metals - Specific Heats

Specific heat of commonly used metals like aluminum, iron, mercury and many more - imperial and SI units.

### Mixing Liquids and/or Solids - Final Temperatures

Calculate the final temperature when liquids or solids are mixed

### Mixtures, Solutions and Suspensions

Mixtures vs. solutions vs. suspensions.

### Propylene Glycol based Heat-Transfer Fluids

Freezing points of propylene glycol based heat-transfer fluids suitable for the food processing industry.

### Solids - Specific Heats

Common solids - like brick, cement, glass and many more - and their specific heats - in Imperial and SI units.

### Specific Heat - Online Unit Converter

Online specific heat converter with the most commonly used units.

### Specific Heat of common Substances

Specific heat of products like wet mud, granite, sandy clay, quartz sand and more.

### Water - Thermophysical Properties

Thermal properties of water at different temperatures like density, freezing temperature, boiling temperature, latent heat of melting, latent heat of evaporation, critical temperature and more.