Corrigendum to “Density and isothermal compressibility of ionic liquids from perturbed hard -sphere chain equation of state” [J. Mol. Liq. 174 (2012) 52–57]

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Corrigendum

Corrigendum to “Density and isothermal compressibility of ionic liquids from perturbed hard -sphere chain equation of state” [J. Mol. Liq. 174 (2012) 52–57] Sayed Mostafa Hosseini Department of Chemistry, Faculty of Sciences, University of Hormozgan, Bandar Abbas, 71961, Iran

a r t i c l e

i n f o

a b s t r a c t After a careful reconsideration of the article (S. M. Hosseini, M. M. Papari, J. Moghadasi, Journal of Molecular Liquids, 174 (2012) 52–57), several typos are appearing in some of the key equations of this article which would not allow the readers to utilize the underlying equation of state for the calculation of volumetric properties of pure ionic liquids without any problem. Regarding this, Erratum is presented to fix this issue. © 2019 Published by Elsevier B.V.

Available online xxxx Keywords: Erratum Yukawa hard-sphere chain Equation of state Ionic liquids

1. Introduction After a careful reconsideration of Ref. [1] article, it has been figured out some typos have been accrued in writing of the relevant equations to the hard-sphere chain (HSC) compression factor for the reference model, Eq. (2) and the segment packing fraction of Yukawa hardsphere chains, Eq. (4). Since those typos were appearing in the key equations of this article, they would cause significant errors in the calculation of densities and isothermal compressibilities of studied pure ionic liquids using the perturbed hard-sphere chain equation of state. Also, the term “Tr” appearing in Eq. (3) of that article has been defined nowhere, which would not allow the readers to utilize the underlying equation of state without any problem. Regarding this, the present Erratum aims to fix this issue. 2. Erratum 1. In Eq. (2) of Ref. [1], an uncorrected expression has been introduced to the HSC model as:

3

ð1 þ η þ η2 −η Þ ð1 þ η−η2 =2Þ Z HSC −ðm−1Þ SAFT ¼ m 3 ð1−η Þ ð1−ηÞð1−η2 =2Þ

ð1EÞ

Then, the corrected expression for the HSC model, Eq. (2) can be reads as:

Z HSC SAFT

E-mail address: [email protected].

ð1−ηÞ3





1 þ η−η2 =2 −ðm−1Þ ð1−ηÞð1−η2 =2Þ

ð2EÞ

2. In Eq. (4) of Ref. [1], an uncorrected equation has been presented for the segment packing fraction as:

η¼

πρσ 3 6

ð3EÞ

In which, the segment number, m was missing from the Eq. (4) leading to the significant errors in the calculation of volumetric properties of pure ionic liquids using the underlying method. Then, the corrected equation for the segment packing fraction of “Yukawa hard-sphere chain” is as follow: η¼

DOI of original article: https://doi.org/10.1016/j.molliq.2012.07.007.

¼m

1 þ η þ η2 −η3

mπρσ 3 6

ð4EÞ

3. The term “Tr” appearing in Eq. (3) of Ref. [1] has been defined nowhere which would cause some problem for the readers, who want to utilize the underlying equation of state for predicting the volumetric properties of pure ionic liquids of interest. The term “Tr” is referring to

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2

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the reduced temperature which is defined as: Tr ¼

kB T ε

ð5EÞ

Reference [1] S. M. Hosseini, M. M. Papari, J. Moghadasi, J. Mol. Liq., 174 (2012) 52–57.

Please cite this article as: S.M. Hosseini, , Journal of Molecular Liquids, https://doi.org/10.1016/j.molliq.2019.111951