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Initial molar concentrations of\n                    <jats:italic>IAA<\/jats:italic>\n                    in the feed phase,\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,F<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    (10\n                    <jats:sup>\u20134<\/jats:sup>\n                    \u201310\n                    <jats:sup>\u20133\u00a0<\/jats:sup>\n                    kmol\/m\n                    <jats:sup>3<\/jats:sup>\n                    ), of\n                    <jats:italic>TOA<\/jats:italic>\n                    in the membrane phase,\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L,M<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    (10\n                    <jats:sup>\u20132<\/jats:sup>\n                    and 10\n                    <jats:sup>\u20131<\/jats:sup>\n                    kmol\/m\n                    <jats:sup>3<\/jats:sup>\n                    ), and of\n                    <jats:italic>NaOH<\/jats:italic>\n                    in the stripping phase,\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>NaOH,S<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    (10\n                    <jats:sup>\u20132<\/jats:sup>\n                    and 1 kmol\/m\n                    <jats:sup>3<\/jats:sup>\n                    ), were selected as process factors. Their effects on the final values of\n                    <jats:italic>IAA<\/jats:italic>\n                    concentration in the feed phase (\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Ff<\/jats:italic>\n                    <\/jats:sub>\n                    ) and stripping solution (\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Sf<\/jats:italic>\n                    <\/jats:sub>\n                    ), extraction efficiency (\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>F<\/jats:italic>\n                    <\/jats:sub>\n                    ), distribution coefficient (\n                    <jats:italic>K<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>D<\/jats:italic>\n                    <\/jats:sub>\n                    ), and recovery efficiency (\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                    <\/jats:sub>\n                    ) were quantified using multiple regression equations. Regression coefficients were determined from experimental data, i.e\n                    <jats:italic>.<\/jats:italic>\n                    ,\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Ff,ex<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009=\u20090.02\u20131\u2009\u00d7\u200910\n                    <jats:sup>\u20134<\/jats:sup>\n                    kmol\/m\n                    <jats:sup>3<\/jats:sup>\n                    ,\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Sf,ex<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009=\u20090.22\u20132.58\u2009\u00d7\u200910\n                    <jats:sup>\u20133<\/jats:sup>\n                    kmol\/m\n                    <jats:sup>3<\/jats:sup>\n                    ,\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>F,ex<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009=\u200990.0\u201397.9%,\n                    <jats:italic>K<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>D,ex<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009=\u20099.0\u201346.6, and\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R,ex<\/jats:italic>\n                    <\/jats:sub>\n                    \u2009=\u200966.5\u201394.2%. It was found that\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,F<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    had the most significant positive effect on\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Ff<\/jats:italic>\n                    <\/jats:sub>\n                    and\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>IAA,Sf<\/jats:italic>\n                    <\/jats:sub>\n                    , whereas\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>NaOH,S<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    had a major positive effect on\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>F<\/jats:italic>\n                    <\/jats:sub>\n                    ,\n                    <jats:italic>K<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>D<\/jats:italic>\n                    <\/jats:sub>\n                    , and\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>R<\/jats:italic>\n                    <\/jats:sub>\n                    . A deterministic model based on mass transfer of\n                    <jats:italic>IAA<\/jats:italic>\n                    was developed and its parameters, i.e\n                    <jats:italic>.<\/jats:italic>\n                    , mass transfer coefficient of\n                    <jats:italic>IAA-L<\/jats:italic>\n                    complex in the liquid membrane (0.82\u201311.5\u2009\u00d7\u200910\n                    <jats:sup>\u20137<\/jats:sup>\n                    \u00a0m\/s) and extraction constant (1033.9\u20131779.7\u00a0m\n                    <jats:sup>3<\/jats:sup>\n                    \/kmol), were regressed from experimental data. The effect of\n                    <jats:italic>c<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>L,M<\/jats:italic>\n                      0\n                    <\/jats:sub>\n                    on both parameters was significant.\n                  <\/jats:p>","DOI":"10.1038\/s41598-021-02876-x","type":"journal-article","created":{"date-parts":[[2021,12,6]],"date-time":"2021-12-06T06:06:05Z","timestamp":1638770765000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Effects of process factors on performances of liquid membrane-based transfer of indole-3-acetic acid"],"prefix":"10.1038","volume":"11","author":[{"given":"Ioana","family":"Diaconu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oana Cristina","family":"P\u00e2rvulescu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sorina Laura","family":"Topal\u0103","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T\u0103nase","family":"Dobre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,12,6]]},"reference":[{"key":"2876_CR1","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1016\/j.microc.2016.04.014","volume":"128","author":"B Campanella","year":"2016","unstructured":"Campanella, B. et al. 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