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A simple model for the hygroscopy of sulfuric acid

Abstract:
Sulphuric acid is a highly hygroscopic substance, increasing its volume by absorbing water from high relative-humidity environment. In this paper, we present a mathematical model that describes the hygroscopy of a uniform layer of sulphuric acid with a given initial concentration and relative humidity of the surrounding gaseous environment. We assume that water is absorbed across the gas–liquid interface at a rate proportional to the difference in concentration from the equilibrium value. Our numerical results compare well with asymptotic predictions for small Sherwood number, where we derive an explicit solution. The theory agrees well with experimental data, which supports the validity of the model, and we are able to use the model to determine the rate of absorption, which cannot be found by a direct experimental measurement.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1021/acs.iecr.9b06018

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
Mansfield College
Role:
Author
ORCID:
0000-0001-6882-7977


Publisher:
American Chemical Society
Journal:
Industrial & Engineering Chemistry Research More from this journal
Volume:
59
Issue:
10
Pages:
4802–4808
Publication date:
2020-02-09
Acceptance date:
2020-02-09
DOI:
EISSN:
1520-5045
ISSN:
0888-5885


Language:
English
Keywords:
Pubs id:
1090047
Local pid:
pubs:1090047
Deposit date:
2020-02-28

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