# Mixing Fluids

## Final mass and temperature when mixing fluids

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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:**

*mass (kg, lb)*

*temperature ( ^{o}C, ^{o}F)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

**Fluid 2:**

*mass (kg, lb)*

*temperature ( ^{o}C, ^{o}F)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

### Mixing Fluids - Required Temperature Calculator

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

**Mixture**

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

**Fluid 1:**

*mass (kg, lb)*

*temperature ( ^{o}C, ^{o}F)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

**Fluid 2:**

*mass (kg, lb)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

### Mixing Fluids - Required Mass Calculator

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

**Mixture**

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

**Fluid 1:**

*mass (kg, lb)*

*temperature ( ^{o}C, ^{o}F)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

**Fluid 2:**

*temperature ( ^{o}C, ^{o}F)*

*specific heat (kJ/kg ^{o}C, Btu/lb^{o}F)*

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