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...

Full description

Bibliographic Details
Main Authors: Kiradjiev, KB, Nikolakis, V, Griffiths, IM, Beuscher, U, Venkateshwaran, V, Breward, CJW
Format: Journal article
Language:English
Published: American Chemical Society 2020
_version_ 1797084915850805248
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
work_keys_str_mv AT kiradjievkb asimplemodelforthehygroscopyofsulfuricacid
AT nikolakisv asimplemodelforthehygroscopyofsulfuricacid
AT griffithsim asimplemodelforthehygroscopyofsulfuricacid
AT beuscheru asimplemodelforthehygroscopyofsulfuricacid
AT venkateshwaranv asimplemodelforthehygroscopyofsulfuricacid
AT brewardcjw asimplemodelforthehygroscopyofsulfuricacid
AT kiradjievkb simplemodelforthehygroscopyofsulfuricacid
AT nikolakisv simplemodelforthehygroscopyofsulfuricacid
AT griffithsim simplemodelforthehygroscopyofsulfuricacid
AT beuscheru simplemodelforthehygroscopyofsulfuricacid
AT venkateshwaranv simplemodelforthehygroscopyofsulfuricacid
AT brewardcjw simplemodelforthehygroscopyofsulfuricacid