# Temperature mixing formula

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This page is to help calculating the amount of one liquid you need to add to another to get a special temperature. This is often usefull if you perform a temperature shift for example with cultures of organisms that carry a temperature sensitive mutant. | This page is to help calculating the amount of one liquid you need to add to another to get a special temperature. This is often usefull if you perform a temperature shift for example with cultures of organisms that carry a temperature sensitive mutant. | ||

- | + | ==Formula== | |

Here is a form of Richmann’s calorimetric mixing formula: | Here is a form of Richmann’s calorimetric mixing formula: | ||

- | <math> m_{1}= \frac{m_{2}\cdot T_{2} | + | |

+ | <math> m_{1}= \frac{m_{2}\cdot T_{2}- T_{m}\cdot m_{2}}{T_{m}-T_{1}}</math> | ||

+ | |||

+ | |||

+ | *m<sub>1</sub> is the mass of the liquid you want to add | ||

+ | *m<sub>2</sub> is the mass of the liquid that you have | ||

+ | *T<sub>1</sub> is the temperature of the liquid you want to add | ||

+ | *T<sub>2</sub> is the temperature of the liquid you have | ||

+ | *T<sub>m</sub> is the temperature that you want to have after mixing | ||

+ | |||

+ | |||

+ | ==Example== | ||

+ | |||

+ | Suppose you have a 100 ml culture at 39°C and want to shift it to 30°C with the help of 4°C cold fresh medium. | ||

+ | *m<sub>2</sub>=100 | ||

+ | *T<sub>1</sub>=4 | ||

+ | *T<sub>2</sub>=39 | ||

+ | *T<sub>m</sub>=30 | ||

+ | |||

+ | Than the formula is: | ||

+ | |||

+ | |||

+ | <math> m_{1}= \frac{100\cdot 39- 30\cdot 100}{30-4}</math> | ||

+ | |||

+ | |||

+ | That means that m<sub>1</sub> is 34.6, so if you add 34.6 ml of 4°C cold fresh medium to your culture it will be 30°C warm. |

## Revision as of 04:46, 25 September 2008

This page is to help calculating the amount of one liquid you need to add to another to get a special temperature. This is often usefull if you perform a temperature shift for example with cultures of organisms that carry a temperature sensitive mutant.

## Formula

Here is a form of Richmann’s calorimetric mixing formula:

- m
_{1}is the mass of the liquid you want to add - m
_{2}is the mass of the liquid that you have - T
_{1}is the temperature of the liquid you want to add - T
_{2}is the temperature of the liquid you have - T
_{m}is the temperature that you want to have after mixing

## Example

Suppose you have a 100 ml culture at 39°C and want to shift it to 30°C with the help of 4°C cold fresh medium.

- m
_{2}=100 - T
_{1}=4 - T
_{2}=39 - T
_{m}=30

Than the formula is:

That means that m_{1} is 34.6, so if you add 34.6 ml of 4°C cold fresh medium to your culture it will be 30°C warm.