Erratum: Melnikov, S.; et al. Water Splitting and Transport of Ions in Electromembrane System with Bilayer Ion-Exchange Membrane. Membranes 2020, 10, 346

Stanislav Melnikov; Denis Bondarev; Elena Nosova; Ekaterina Melnikova; Victor Zabolotskiy

doi:10.3390/membranes10120424

,

and

Kuban State University, Stavropolskaya 149, 350040 Krasnodar, Russia

^*

Author to whom correspondence should be addressed.

Membranes2020, 10(12), 424;https://doi.org/10.3390/membranes10120424

Version Notes

Order Reprints

Due to an error during production, Equations (10), (13)–(20), (23), (24) were unreadable in the published paper [1]. The corrected Equations are provided below:

{\hat{i}}_{l i m} = \frac{c_{l}^{2}}{β_{c}} + \frac{c_{r}^{2}}{β_{a}}

(10)

i_{l i m} = F {(\frac{c_{l}^{2} D_{c}}{d_{c} Q_{c}} + \frac{c_{r}^{2} (D_{c} + D_{a})}{d_{a} Q_{a} D_{c} + d_{c} Q_{c} D_{a}})}_{}

(13)

i_{l i m} = {\frac{F D_{c} c_{l}^{2}}{d_{c} Q_{c}}}_{} .

(14)

c_{l} = c_{l}^{0} - \frac{1}{2} \frac{i δ}{F D_{sol}}

(15)

\frac{i_{l i m}}{\frac{F D_{c} {(c_{l}^{0})}^{^{2}}}{d_{c} Q_{c}}} = 1 - \frac{i δ}{F D_{sol} c_{l}^{0}} + {(\frac{i δ}{2 F D_{sol} c_{l}^{0}})}^{2}

(16)

i_{l i m}^{m} = \frac{F D_{c} {(c_{l}^{0})}^{^{2}}}{d_{c} Q_{c}}, i_{l i m}^{d} = \frac{2 F D_{sol} c_{l}^{0}}{δ}

(17)

\frac{i_{l i m}}{i_{l i m}^{m}} = {(1 - \frac{i_{l i m}}{i_{l i m}^{d}})}^{2}

(18)

i_{l i m} = (\frac{2 α + 1 - \sqrt{4 α + 1}}{2 α}) i_{l i m}^{d}_{}

(19)

α = \frac{i_{l i m}^{m}}{i_{l i m}^{d}} = \frac{1}{2} \frac{δ D_{c}^{*} c_{l}^{0}}{d_{c} D_{sol} Q_{c}}

(20)

- {PO}_{3}^{2 -} + H_{2} O {\underset{\leftarrow}{\to}}_{k_{- 1} = 10^{8} \div 10^{10} L / (mol \cdot s)}^{k_{1} = 10^{1} \div 10^{3} s^{- 1}} - {PO}_{3} H^{-} + {OH}^{-}

(23)

- {PO}_{3} H^{-} + H_{2} O {\underset{\leftarrow}{\to}}_{k_{- 1} = 10^{8} \div 10^{10} L / (mol \cdot s)}^{k_{1} = 5 \cdot 10^{- 3} \div 5 \cdot 10^{- 1} s^{- 1}} - {PO}_{3} H_{2} + {OH}^{-}

(24)

Reference

Melnikov, S.; Bondarev, D.; Nosova, E.; Melnikova, E.; Zabolotskiy, V. Water Splitting and Transport of Ions in Electromembrane System with Bilayer Ion-Exchange Membrane. Membranes 2020, 10, 346. [Google Scholar] [CrossRef] [PubMed]

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Erratum: Melnikov, S.; et al. Water Splitting and Transport of Ions in Electromembrane System with Bilayer Ion-Exchange Membrane. Membranes 2020, 10, 346

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