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The knowledge of the total solids amount in a water stream is basic data for all environmental engineering calculations such as the design of wastewater systems. This page explains how to calculate the total solids and total dissolved solids from water analysis data.
In order to calculate the total solids of a water stream, it is necessary to take a sample of the water and deliver it to a laboratory for gravimetric analysis. The engineer must gather the following data from the laboratory reports:
The total solids (TS) in the water can be calculated with the following formula from the analysis results:
TS = (m1 - mdish) / Vsample
Where:
The analysis from the evaporating dish and the filter yields other critical indicators of wastewater quality.
Total Volatile Solids (TVS) calculation:
TVS = (m1 - m2) / Vsample
Where: \(TVS\) = total volatile solids (g/L) (representing volatile organic compounds burned off at 550°C).
Total Suspended Solids (TSS) calculation:
TSS = (m3 - mfilter) / Vsample
Where: \(TSS\) = total suspended solids (g/L) (retained by standard filtration).
Volatile Suspended Solids (VSS) calculation:
VSS = (m3 - m4) / Vsample
Where: \(VSS\) = volatile suspended solids (g/L).
| Parameter Name | Acronym | Value | Unit |
|---|---|---|---|
| Total Solids | TS | 0.722 | g/L |
| Total Volatile Solids | TVS | 0.338 | g/L |
| Total Suspended Solids | TSS | 0.242 | g/L |
| Volatile Suspended Solids | VSS | 0.156 | g/L |
| Total Dissolved Solids | TDS | 0.480 | g/L |
| Volatile Dissolved Solids | VDS | 0.182 | g/L |
The concentrations calculated above allow process engineers to determine two other major indicators in wastewater treatment design: total dissolved solids (TDS) and volatile dissolved solids (VDS).
Total Dissolved Solids (TDS) calculation:
TDS = TS - TSS
Where:
Volatile Dissolved Solids (VDS) calculation:
VDS = TVS - VSS
Where:
MyEngineeringTools.com has developed a free Excel workbook template that allows you to calculate the distinct total solids parameters defined above directly from analytical measurements: Total Solids in Water calculator Excel Download
Warning : this calculator is provided to illustrate the concepts mentioned in this webpage, it is not intended for detail design. It is not a commercial product, no guarantee is given on the results. Please consult a reputable designer for all detail design you may need.
Sources
[Chopey] Handbook of Chemical Engineering calculations, Chopey et al, McGraw Hill, 2004