How to Calculate Electrical Conductivity (EC)

Electrical Conductivity (EC) is a measure of a solution’s ability to conduct an electrical current, which is directly related to the concentration of dissolved charged particles, or ions, within that solution. When salts and other inorganic compounds dissolve in water, they break apart into these ions, facilitating the flow of electricity. Monitoring EC is a fundamental practice across many fields, serving as a reliable indicator of water purity and the overall concentration of dissolved substances. High EC readings suggest the presence of many dissolved ions, which is useful for assessing water quality in environmental monitoring, managing nutrient levels in hydroponics, and checking salinity in agriculture.

Understanding EC Measurement and Standard Units

Electrical conductivity is typically determined by using a specialized instrument known as an EC meter, which measures the conductance between two electrodes placed in the solution. The raw reading from this meter is the basis for all subsequent calculations and conversions.

The standard units for expressing electrical conductivity are the Siemens per centimeter (S/cm) and its derivatives. Measurements are commonly reported in microsiemens per centimeter (\(\mu\)S/cm) or millisiemens per centimeter (mS/cm). One mS/cm is equal to 1,000 \(\mu\)S/cm. The deciSiemens per meter (dS/m), frequently encountered in scientific and agricultural contexts, is numerically equivalent to mS/cm.

Calculating Temperature-Corrected Electrical Conductivity

A measured EC reading is highly sensitive to the temperature of the solution, which introduces a challenge for comparing data taken at different times or locations. As a solution’s temperature increases, the dissolved ions move more quickly, decreasing the water’s viscosity and increasing the solution’s conductivity. For this reason, EC is always standardized to a reference temperature, most commonly 25°C, to ensure readings are comparable.

To achieve this standardization, a temperature correction must be applied to the raw EC measurement. This process effectively calculates what the EC reading would be if the solution were at 25°C. The standard formula used to normalize the measured conductivity (\(EC_T\)) to the reference temperature of 25°C (\(EC_{25}\)) is:
$\(EC_{25} = EC_T / (1 + C(T – 25))\)$
\(EC_T\) is the raw conductivity reading taken at the measured temperature \(T\) (in °C). \(C\) represents the temperature compensation coefficient, which quantifies the change in EC per degree Celsius.

For most aqueous solutions, the temperature compensation coefficient (\(C\)) is often approximated as 0.0191 or 0.02, which corresponds to an approximate 1.91% or 2% increase in conductivity per degree Celsius above 25°C. Using the 0.02 value provides a simple rule of thumb for estimation. If a raw EC reading (\(EC_T\)) of 1,500 \(\mu\)S/cm is taken at 20°C, the calculation yields \(EC_{25} = 1500 / (1 + 0.02 \times (20 – 25))\), which simplifies to \(1500 / 0.90\). This results in a temperature-corrected \(EC_{25}\) of approximately 1,667 \(\mu\)S/cm, demonstrating that the EC is higher when corrected to the warmer reference temperature.

Converting Electrical Conductivity to TDS and Salinity

Once the temperature-corrected EC value is established, it can be used to estimate other water quality parameters, specifically Total Dissolved Solids (TDS) and Salinity. These conversions are estimations because EC measures all conductive ions, while TDS and Salinity represent the total mass of dissolved solids or salts. The conversion relies on an empirical conversion factor, as the relationship between conductivity and mass is not constant for all types of dissolved material.

The calculation for Total Dissolved Solids (TDS) is a simple linear relationship: \(TDS = EC \times K\). TDS is typically expressed in parts per million (ppm) or milligrams per liter (mg/L), and \(EC\) is usually in \(\mu\)S/cm. The conversion factor, \(K\), is highly variable and depends on the chemical composition of the dissolved solids in the specific water sample. \(K\) commonly ranges from 0.50 to 0.80, with 0.50 being a strong ionic solution approximation and 0.67 being a frequent general-purpose factor. Different meter manufacturers may use different fixed conversion factors, which is why TDS readings may vary between brands for the same sample.

Converting EC to Salinity follows a similar principle, estimating the salt content in parts per thousand (ppt) or practical salinity units (PSU). For less saline waters, a simple approximation is sometimes used, such as multiplying the EC value (in dS/m or mS/cm) by a factor like 0.64. For high-salinity environments like seawater, the relationship becomes non-linear and requires more complex algorithms, such as those derived from the Practical Salinity Scale of 1978 (PSS-78), which account for temperature. These complex calculations are often pre-programmed into advanced EC meters.