Calculation of TDS (Total Dissolved Solids)

Total Dissolved Solids (TDS) is a critical parameter for assessing water quality in diverse industrial, municipal, and environmental applications worldwide. Measuring and calculating TDS reveals concentrations of inorganic salts, organic matter, and ions influencing taste, health, agriculture, and equipment.

TDS (Total Dissolved Solids) Calculator — µS/cm & mS/cm → ppm

Quickly convert conductivity to TDS using a selectable conversion factor. Valid for water testing, aquariums, hydroponics, and labs.

How is TDS estimated from conductivity?
TDS (ppm) ≈ conductivity (µS/cm) × conversion factor (k). Typical k values vary between 0.5 and 0.7 depending on the ionic composition of water. Default used here: 0.64.
Why different factors (0.5–0.7)?
Different dissolved salts produce different TDS per unit conductivity. Use lab data or specific factor for your solution when available.
Formulas used
If input is in µS/cm: TDS(ppm) = EC(µS/cm) × k.
If input is in mS/cm: TDS(ppm) = EC(mS/cm) × 1000 × k.

Extended Reference Table of Common TDS Conversion Factors

TDS is often calculated from electrical conductivity (EC) using a conversion factor (f). This factor varies depending on the ionic composition of the water, typically ranging from 0.5 to 0.9. The following table shows common values used in engineering practice, laboratory analysis, and regulatory compliance.

Table 1. Common Conversion Factors for TDS Calculation

Water Type / ConditionConductivity Range (µS/cm)Conversion Factor (f)Approx. TDS (ppm) = EC × f
Distilled Water0 – 20.55Near 0 ppm
Rainwater (clean)10 – 500.55 – 0.65 – 30 ppm
Surface Water (rivers, lakes)30 – 5000.6 – 0.6520 – 325 ppm
Groundwater (shallow wells)100 – 15000.64 – 0.6764 – 1005 ppm
Municipal Tap Water (typical)200 – 8000.65130 – 520 ppm
Brackish Water1000 – 10,0000.65 – 0.7650 – 7000 ppm
Seawater40,000 – 55,0000.85 – 0.934,000 – 50,000 ppm
Industrial Cooling Water200 – 15000.65 – 0.7130 – 1050 ppm
Desalinated (RO-treated) Water20 – 2000.5 – 0.5510 – 110 ppm
High-Purity Boiler Feedwater (power plants)< 200.5< 10 ppm
Wastewater (treated effluent)200 – 15000.65 – 0.7130 – 1050 ppm
Agricultural Irrigation Water (FAO Guidelines)200 – 20000.65130 – 1300 ppm

Essential Formulas for TDS Calculation

Formula 1: Direct Gravimetric Method

The gravimetric method is the reference standard, involving evaporation and weighing:

  • W1= initial weight of dish (mg)
  • W2= final weight of dish + residue (mg)
  • V= volume of water sample evaporated (mL)

This method is highly accurate but time-consuming, used mainly in laboratory compliance testing.

Formula 2: Conductivity Conversion Method

Most field applications use conductivity-based calculation:

Formula 3: Empirical Multi-Ion Equation

For high accuracy where ionic composition is known:

This requires ion chromatography or spectrophotometric analysis, but provides precise ion-specific results.

Formula 4: Relation with Salinity

For seawater and brackish water:

This approximation is often used in oceanography and desalination plants.

Explanation of Variables and Their Ranges

  • Electrical Conductivity (EC):
    • Measured in µS/cm or mS/cm at 25°C.
    • Range: 0 (distilled water) to >55,000 µS/cm (seawater).
  • Conversion Factor (f):
    • Dimensionless, based on ionic composition.
    • Range: 0.5–0.9.
  • Volume (V):
    • Sample size for gravimetric method, usually 100–250 mL.
  • Residue Weight Difference (W2 – W1):
    • Mass of dissolved solids after evaporation.
    • Can be as low as 1 mg in ultrapure water tests.

Practical Examples of TDS Calculation

Example 1: Calculation for Municipal Tap Water

Given data:

  • EC = 650 µS/cm
  • Conversion factor f=0.65

Interpretation:
This water falls within the acceptable range for WHO drinking water (<1000 ppm).

Example 2: Calculation for Brackish Groundwater

Given data:

  • EC = 3500 µS/cm
  • f=0.67

Interpretation:
This water exceeds WHO drinking standards but can be used for irrigation with restrictions (FAO guidelines recommend <2000 ppm for most crops).

Real-World Case Studies

Case Study 1: Desalination Plant Performance Monitoring

Background:
A coastal desalination plant producing potable water needs to verify RO system efficiency. The feedwater is seawater with EC = 52,000 µS/cm. After treatment, the permeate is tested.

Result:
The RO system is operating within design limits (>99% rejection).

Case Study 2: Irrigation Water Suitability for Agriculture

Background:
An agricultural cooperative wants to evaluate groundwater for irrigation.

Interpretation:

  • According to FAO standards:
    • <700 ppm → Excellent water quality
    • 700–2000 ppm → Permissible for most crops with some restrictions
    • 2000 ppm → Unsuitable without treatment

Conclusion:
The water (1170 ppm) is acceptable for irrigation of moderately salt-tolerant crops (e.g., barley, cotton, sugar beet), but could negatively affect sensitive crops like beans and citrus.

Importance of Temperature Compensation

EC measurements must be corrected to 25°C reference:

Failure to compensate temperature can lead to errors of 2% per °C, severely impacting TDS estimates.

Standards and Guidelines

  • WHO Drinking Water Guidelines: TDS < 1000 ppm recommended for palatability (WHO source).
  • US EPA Secondary Drinking Water Regulations: TDS < 500 ppm is optimal (EPA source).
  • FAO Irrigation Water Standards: 700–2000 ppm permissible depending on crop tolerance (FAO source).