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A new system for measuring electrical conductivity of water as a function of admittance


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Figure (1)

Fabricated cell with electrical circuit.
Fabricated cell with electrical circuit.

Figure (2)

The relationship between admittance and conductivity is linear at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 4-electrode system.
The relationship between admittance and conductivity is linear at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 4-electrode system.

Figure (3)

The linear relationship between admittance and conductivity at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 2-inner electrodes system.
The linear relationship between admittance and conductivity at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 2-inner electrodes system.

Figure (4)

The linear relationship between admittance and conductivity at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 2-outer electrode system.
The linear relationship between admittance and conductivity at frequencies (0.05, 2, 20, 60 and 100 kHz) for the 2-outer electrode system.

Figure (5)

Admittance vs. frequency for the three experimental setups (4, 2-inner, and 2-outer electrodes) with the distilled water.
Admittance vs. frequency for the three experimental setups (4, 2-inner, and 2-outer electrodes) with the distilled water.

Comparing the values of impedance and admittance for the three experimental setups (4, 2-inner, and 2-outer electrodes) at all frequencies of distilled water.

Distilled Water
f / kHzAdmittance (μS) 2-Outer ElectrodesAdmittance (μS) 2-Inner ElectrodesAdmittance (μS) 4-Electrodes
0.051.492.9113.09
21.653.7720.10
62.555.0624.96
206.6210.3824.03
6015.7820.2534.16
10020.0523.8144.28

Calculated values of admittance and measured conductivity for different frequencies by the 4-electrode system

4-Electrodesf = 0.05 kHzf = 2 kHzf = 20 kHzf = 60 kHzf = 100 kHz
Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)
Distilled Water13.0916.2020.1016.2024.0416.2036.5716.2044.2816.20
Mineral Water184.08320.33191.14320.33204.03320.33163.53320.33122.06320.33
Rain fall Water37.8479.5639.7579.5645.2379.5648.8579.5653.6979.56
River Water218.35359220.41359234.77359188.88359143.33359
Tap Water243.70429258.40429282.73429235.10429171.61429

calculated values of admittance and measured conductivity for different frequencies by the 2-outer electrode system

2-Outer Electrodesf = 0.05 kHzf = 2 kHzf = 20 kHzf = 60 kHzf = 100 kHz
Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)
Distilled Water1.49116.201.6516.206.6216.2015.7816.2020.0516.20
Mineral Water77.15320.3375.05320.3372.13320.3363.44320.3351.98320.33
Rain fall Water18.3379.5618.4079.5619.4479.5622.5179.5623.6079.56
River Water79.0335977.4235973.6935965.2635953.55359
Tap Water108.60429107.2042910042989.5242973.56429

Calculated values of admittance and measured conductivity for different frequencies by the two-inner electrode system

2-Inner Electrodesf = 0.05 kHzf = 2 kHzf = 20 kHzf = 60 kHzf = 100 kHz
Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)Admittance (μS)Conductivity (μS/cm)
Distilled Water2.9116.203.7716.2010.3816.2020.2516.2023.8116.20
Mineral Water216.85320.33208.53320.33201.52320.33184.76320.33155.85320.33
Rain fall Water51.3279.5649.7379.5646.7679.5641.67579.5634.7279.56
River Water215.94359212.23359204.36359187.76359158.41359
Tap Water292.19429287.76429280.97429259.77429219.78429

the influence of the three experimental setups (2-Inner, 2-Outer and 4- Electrodes) on the impedance and admittance values.

Distilled Water
Frequency (kHz)Impedance (kΩ) 2-Inner electrodesImpedance (kΩ) 2-Outer electrodesImpedance (kΩ) 4-electrodesAdmittance (μS) 2-Inner electrodesAdmittance (μS) 2-Outer electrodesAdmittance (μS) 4-electrodes
0.05343.23670.8076.402.911.4913.08
2265.16606.4149.743.771.6420.10
6197.72392.6239.795.052.5425.13
2096.33151.1141.6010.386.6124.03
6049.3663.3729.2620.2515.7834.17
10042.0049.8722.5823.8020.0544.28