A simple model for the hygroscopy of sulfuric acid
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 humidi...
Main Authors: | , , , , , |
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Format: | Journal article |
Language: | English |
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American Chemical Society
2020
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_version_ | 1797084915850805248 |
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author | Kiradjiev, KB Nikolakis, V Griffiths, IM Beuscher, U Venkateshwaran, V Breward, CJW |
author_facet | Kiradjiev, KB Nikolakis, V Griffiths, IM Beuscher, U Venkateshwaran, V Breward, CJW |
author_sort | Kiradjiev, KB |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-07T02:01:52Z |
format | Journal article |
id | oxford-uuid:9da75880-24e5-45a4-bfc0-6a0dd24593e8 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:01:52Z |
publishDate | 2020 |
publisher | American Chemical Society |
record_format | dspace |
spelling | oxford-uuid:9da75880-24e5-45a4-bfc0-6a0dd24593e82022-03-27T00:44:36ZA simple model for the hygroscopy of sulfuric acidJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9da75880-24e5-45a4-bfc0-6a0dd24593e8EnglishSymplectic ElementsAmerican Chemical Society2020Kiradjiev, KBNikolakis, VGriffiths, IMBeuscher, UVenkateshwaran, VBreward, CJWSulphuric 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. |
spellingShingle | Kiradjiev, KB Nikolakis, V Griffiths, IM Beuscher, U Venkateshwaran, V Breward, CJW A simple model for the hygroscopy of sulfuric acid |
title | A simple model for the hygroscopy of sulfuric acid |
title_full | A simple model for the hygroscopy of sulfuric acid |
title_fullStr | A simple model for the hygroscopy of sulfuric acid |
title_full_unstemmed | A simple model for the hygroscopy of sulfuric acid |
title_short | A simple model for the hygroscopy of sulfuric acid |
title_sort | simple model for the hygroscopy of sulfuric acid |
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