Modeling the electrical conductivity value of the model solution

SABANCI, SERDAL; KAYA, KÜBRA; GÖKSU, ALİ

doi:10.1590/0001-3765202320210062

Brasil

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ENGINEERING SCIENCES • An. Acad. Bras. Ciênc. 95 (2) • 2023 • https://doi.org/10.1590/0001-3765202320210062 linkcopy

Modeling the electrical conductivity value of the model solution

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Abstract

The ohmic heating process is one of the novel electrical heating methods that are considered as fast, homogeneous and efficient heating. In this study, the details of the relationship between electrical conductivity (EC)-Temperature (Temp) and EC-pH-Temp at different Total Soluble Solid Content (TSSC) and different pH values were examined. Especially, the study explains details of the electrical conductivity value due to pH change (2, 2.5, 3, 3.5) and expressing EC change depending on the pH value of fruit and vegetable juices. At constant pH, EC values decrease with increasing TSSC values (10%, 20%, 30%, 40%, 50%, 60%) and decrease with increasing pH at constant TSSC value. When the relationship between Temp-EC is analyzed that the EC value increases as Temp increases in all cases and this increase is linear. It was found that the Temp-EC relationship was in high compatibility with an R² value above 0.97. Also, in the Temp-EC-pH relationship, the R² value was found to be an acceptable value above 0.95.

Key words Ohmic heating; electrical conductivity; pH; TSSC; mathematical model

TSSC	pH 2	pH 2.5	pH 3	pH 3.5
10%	176.0±1.7	246.0±4.4	282.0±2.7	293.0±1.0
20%	221.3±1.5	290.3±6.7	336.3±4.0	346.3±4.9
30%	340.0±2.7	447.3±5.5	500.6±9.1	506.7±14.6
40%	513.3±9.9	645.0±22.3	734.6±14.0	722.0±12.1
50%	838.0±54.2	1064.3±37.6	1094.5±14.9	1181.5±62.9
60%	1831.0±36.6	2283.5±55.9	2348.5±21.9	2465.0±43.8

TSSC	pH	Equation	R²
10%	2	σ= 0.008xT + 0.174	0.999
	2.5	σ = 0.006xT + 0.104	0.999
	3	σ = 0.006xT + 0.081	0.998
	3.5	σ = 0.006xT + 0.077	0.998
20%	2	σ = 0.007xT + 0.113	0.999
	2.5	σ = 0.006xT + 0.069	0.998
	3	σ = 0.005xT + 0.054	0,997
	3.5	σ = 0.005xT + 0.053	0,996
30%	2	σ = 0.006xT + 0.051	0.998
	2.5	σ = 0.005xT + 0.029	0.996
	3	σ = 0.004xT + 0.021	0,996
	3.5	σ = 0.004xT + 0.019	0,995
40%	2	σ = 0.004xT + 0.009	0.995
	2.5	σ = 0.004xT + 0.002	0.994
	3	σ = 0.003xT + 0.000	0,993
	3.5	σ = 0.003xT + 0.001	0,993
	4	σ = 0.003xT + 0.000	0.993
50%	2	σ = 0.003xT + 0.014	0.990
	2.5	σ = 0.002xT + 0.016	0.989
	3	σ = 0.002xT + 0.016	0,987
	3.5	σ = 0.002xT + 0.015	0,988
	4	σ = 0.002xT + 0.015	0.987
60%	2	σ = 0.002xT + 0.021	0.981
	2.5	σ = 0.001xT + 0.020	0.978
	3	σ = 0.001xT + 0.020	0,979
	3.5	σ = 0.001xT + 0.021	0,977

TSSC	Electrical Conductivity (S/m)	R²
%10	σ=0.0066xT+pH^-0.³²⁵⁸ -0.5910	0.956
%20	σ=0.0061xT+pH^-0.⁴⁹⁶⁴-0.5576	0.986
%30	σ=0.0050xT+pH^-0.²⁰⁹⁹-0.7796	0.975
%40	σ=0.0040xT+pH^-0.¹⁰⁹⁹-0.8925	0.981
%50	σ=0.0029xT+pH^-0.⁰⁴⁵⁸-0.9696	0.982
%60	σ=0.0018xT+pH^-0.⁰²⁴-0.9971	0.973

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[tfnIII] TSSC: Total soluble solid content.