Free Water Deficit
Body water is the water content of an animal body that is contained in the tissues, the blood, the bones and elsewhere. The percentages of body water contained in various fluid compartments add up to total body water.
The free water deficit is proportional to the body weight of the subject times the ratio of the serum sodium and ideal serum sodium minus one.
Formula
![QuantityVariable["FWD", "Volume"] == Quantity[0.6, "Liters"/"Kilograms"]*QuantityVariable["W", "Mass"]*(-1 + QuantityVariable[Subscript["Na", "c"], "Molarity"]/QuantityVariable[Subscript["Na", "i"], "Molarity"])](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/848/848436c7-b9d9-41c0-a7e7-6f9fd2ad758b/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| FWD | free water deficit | "Volume" |
| W | body weight | "Mass" |
| Nac | serum sodium | "Molarity" |
| Nai | ideal serum sodium | "Molarity" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Free Water Deficit"]](images/848/848436c7-b9d9-41c0-a7e7-6f9fd2ad758b-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Free Water Deficit"]]](images/848/848436c7-b9d9-41c0-a7e7-6f9fd2ad758b-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[ResourceObject["Free Water Deficit"], {QuantityVariable[
\!\(\*SubscriptBox[\("Na"\), \("c"\)]\),"Molarity"] ->
Quantity[50, ("Millimoles")/("Liters")],
QuantityVariable["W","Mass"] -> Quantity[50, "Kilograms"]}]](images/848/848436c7-b9d9-41c0-a7e7-6f9fd2ad758b-io-3-i.en.gif){kind=small} |
| Out[3]= |  |