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Table 7 Temperature dependence expressions for interaction coefficients involving Cl-, OH- and Ac- derived from this study

From: Estimation of medium effects on equilibrium constants in moderate and high ionic strength solutions at elevated temperatures by using specific interaction theory (SIT): Interaction coefficients involving Cl, OH- and Ac-up to 200°C and 400 bars

Interaction Coefficients

Temperature Dependence Expressions, T in K

Average 2σ

Ionic Strength Range, m

Temperature Range and Pressure

ε(H+, Cl-)

Linear:ε = 2.7890 × 10-1 - 5.2237 × 10-4 T (R2= 0.9950)

0.0019

0.1–6.0

298.15–473.15 K at PSAT

 

Polynomial:ε = 3.8988 × 10-1 - 1.0783 × 10-3T -6.9000 × 10-7 T2 (R2 = 0.9968)

   

ε(H+, Cl-)

Linear: ε = 2.5259 × 10-1 - 4.4384 × 10-4 T (R2= 0.9985)

0.0010

0.1–2.0

273.15–473.15 K at 400 bars

 

Polynomial:ε = 2.1154 × 10-1 - 2.0587 × 10-4T -3.3783 × 10-7 T2 (R2 = 0.9998)

   

ε(Na+, Cl-)

ε = -4.1341 × 10-2 + 5.8237 × 10-4 T - 9.5405 × 10-7 T2 (R2 = 0.9974)

0.0007

0.5–6.0

298.15–473.15 K at PSAT

ε(Na+, AgCl2 -)

Linear: ε = 1.7132 × 10-1 - 5.1636 × 10-4 T (R2 = 0.9906)

0.03

0.5–3.0

373.15–473.15 K at PSAT

 

Polynomial:ε = 4.8789 × 10-1 - 2.0323 × 10-3T -1.7986 × 10-6 T2 (R2 = 1.0000)

   

ε(Ag+, Cl-)

ε = 0.11

0.02

0.5–3.0

373.15–473.15 K at PSAT

ε(Mg2+, Cl-)

Linear:ε = 4.4121 × 10-1 - 7.7283 × 10-4 T (R2= 0.9995)

0.030

0.3–6.0

273.15–473.15 K at PSAT

 

Polynomial:ε = 4.4442 × 10-1 - 7.9072 × 10-4T +2.4016 × 10-8 T2 (R2 = 0.9995)

   

ε(Mg2+, Cl-)

Linear:ε = 4.3772 × 10-1 - 7.5556 × 10-4 T (R2= 0.9994)

0.031

0.3–6.0

273.15–473.15 K at 200 bars

 

Polynomial:ε = 3.9380 × 10-1 - 5.1076 × 10-4T -3.2860 × 10-7 T2 (R2 = 0.9999)

   

ε(Mg2+, Cl-)

Linear:ε = 4.3685 × 10-1 - 7.3773 × 10-4 T (R2= 0.9999)

0.029

0.3–6.0

273.15–473.15 K at 400 bars

 

Polynomial:ε = 4.2439 × 10-1 - 6.6827 × 10-4T -9.3235 × 10-8 T2 (R2 = 0.9999)

   

ε(Ca2+, Cl-)

Linear:ε = 3.6437 × 10-1 - 6.6172 × 10-4 T (R2= 0.9857)

0.030

0.3–6.0

298.15–473.15 K at PSAT

 

Polynomial:ε = 1.2880 × 10-1 + 5.9815 × 10-4T -1.6373 × 10-6 T2 (R2 = 0.9999)

   

ε(Ca2+, Cl-)

Linear:ε = 3.6445 × 10-1 - 6.5439 × 10-4 T (R2= 0.9919)

0.020

0.3–6.0

298.15–473.15 K at 200 bars

 

Polynomial:ε = 1.9626 × 10-1 + 2.4509 × 10-4T -1.1690 × 10-6 T2 (R2 = 0.9993)

   

ε(Ca2+, Cl-)

Linear:ε = 3.6440 × 10-1 - 6.4277 × 10-4 T (R2= 0.9891)

0.020

0.3–6.0

298.15–473.15 K at 400 bars

 

Polynomial:ε = 1.6451 × 10-1 + 4.2626 × 10-4T -1.3893 × 10-6 T2 (R2 = 0.9999)

   

ε(Sr2+, Cl-)

Linear:ε = 3.2535 × 10-1 - 6.1153 × 10-4 T (R2= 0.9716)

0.018

0.3–6.0

298.15–473.15 K at PSAT

 

Polynomial:ε = 3.1779 × 10-2 + 9.5849 × 10-4T -2.0404 × 10-6 T2 (R2 = 0.9970)

   

ε(Sr2+, Cl-)

Linear:ε = 3.2888 × 10-1 - 5.9746 × 10-4 T (R2= 0.9734)

0.016

0.3–6.0

298.15–473.15 K at PSAT

 

Polynomial:ε = 5.2527 × 10-2 + 8.8048 × 10-4T -1.9207 × 10-6 T2 (R2 = 0.9970)

   

ε(Sr2+, Cl-)

Linear:ε = 3.2226 × 10-1 - 5.5384 × 10-4 T (R2= 0.9801)

0.014

0.3–6.0

298.15–473.15 K at PSAT

 

Polynomial:ε = 1.2297 × 10-1 + 5.1201 × 10-4T -1.3852 × 10-6 T2 (R2 = 0.9945)

   

ε(Ba2+, Cl-)

Linear:ε = 2.0474 × 10-1 - 4.1667 × 10-4 T (R2= 0.9584)

0.014

0.3–9.0

298.15–423.15 K at PSAT

 

Polynomial:ε = -1.1827 × 10-1 + 1.4053 × 10-3T -2.5230 × 10-6 T2 (R2 = 0.9985)

   

ε(Ba2+, Cl-)

Linear:ε = 2.0491 × 10-1 - 4.0566 × 10-4 T (R2= 0.9599)

0.013

0.3–9.0

298.15–423.15 K at 200 bars

 

Polynomial:ε = -1.0310 × 10-1 + 1.3317 × 10-3T -2.4058 × 10-6 T2 (R2 = 0.9985)

   

ε(Ba2+, Cl-)

Linear:ε = 2.0325 × 10-1 - 3.9039 × 10-4 T (R2= 0.9621)

0.030

0.3–9.0

298.15–423.15 K at 200 bars

 

Polynomial:ε = -8.3861 × 10-2 + 1.2291 × 10-3T -2.2426 × 10-6 T2 (R2 = 0.9984)

   

ε(Sm3+, Cl-)

Linear:ε = 5.5890 × 10-1 - 1.1536 × 10-3 T (R2= 0.9895)

0.016

0.51–6.0

273.15–338.15 K at 1 bar

 

Polynomial:ε = 3.0000 × 10-1 + 5.3392 × 10-4T -2.7381 × 10-6 T2 (R2 = 0.9911)

   

ε(Eu3+, Cl-)

ε = -4.8708 × 10-1 + 4.8872 × 10-3 T -8.3929 × 10-6 T2 (R2 = 0.9950)

0.016

0.51–6.0

273.15–338.15 K at 1 bar

ε(Gd3+, Cl-)

Linear:ε = 4.3225 × 10-1 - 6.9179 × 10-4 T (R2= 0.9681)

0.016

0.51–6.0

273.15–338.15 K at 1 bar

 

Polynomial:ε = 2.5104 × 10-1 + 3.7617 × 10-3T -7.2262 × 10-6 T2 (R2 = 0.9998)

   

ε(GdAc2+, Cl-)

ε = 0.12

0.04

0.1–2.0

298.15–338.15 K at 1 bar

ε(Li+, OH-)

ε = 1.5802 × 10-1 - 5.4117 × 10-4 T (R2 = 0.9974)

0.02

0.1–5.0

298.15–473.15 K at PSAT

ε(Na+, OH-)

ε = -1.5573 × 10-1 + 1.4279 × 10-3 T - 2.4094 × 10-6 T2 (R2 = 0.9987)

0.0092

0.1–5.0

273.15–473.15 K at PSAT

ε(K+, OH-)

ε = 2.6120 × 10-1 - 5.4520 × 10-4 T (R2 = 0.9924)

0.0043

0.1–5.0

273.15–423.15 K at PSAT

ε(Cs+, OH-)

ε = 2.0759 × 10-1 - 3.3855 × 10-4 T (R2 = 0.9700)

0.0054

0.1–5.0

273.15–423.15 K at PSAT

ε(Na+, Ac-)

Linear:ε = 1.4784 × 10-1 - 3.6016 × 10-4 T (R2 = 0.9928)

0.0070

0.1–5.0

298.15–448.15 K at PSAT

 

Polynomial:ε = 3.7001 × 10-1 + 2.5583 × 10-4T -8.3336 × 10-7 T2 (R2 = 0.9933)