{"term":{"id":"02495","doi":"10.1351\/goldbook.F02495","code":"F02495","status":"current","longtitle":"IUPAC Gold Book - fractional change of a quantity","title":"fractional change of a quantity","version":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"A term which may be expressed infinitesimally at time t by the differential dQ(t)\/Q(t). For a finite time interval the quotient is Δ Q t 1 t 2 Q t 1 = Q t 2- Q t and Q t 2 are of the same kind and have the same type of component. Fractional change has dimension one. Examples are: mass fractional change, dm(t)\/m(t); amount of substance fractional change, dn(t)\/n(t).","links":[{"title":"amount of substance","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/A00297"}],"math":[{"alttext":"t","latex":"t"},{"alttext":"dQ(t)\/Q(t)","latex":"\\frac{\\text{d}Q(t)}{Q(t)}"},{"alttext":"Δ Q t 1 t 2 Q t 1 = Q t 2- Q t ","latex":"\\frac{\\Delta Q\\left(t_{1};t_{2}\\right)}{Q\\left(t_{1}\\right)} = \\frac{\\left[Q\\left(t_{2}\\right)\\,-\\,Q\\left(t_{1}\\right)\\right]}{Q\\left(t_{1}\\right)}"},{"alttext":"Q t 1","latex":"Q(t_{1})"},{"alttext":"Q t 2","latex":"Q(t_{2})"},{"alttext":"dm(t)\/m(t)","latex":"\\frac{\\text{d}m(t)}{m(t)}"},{"alttext":"dn(t)\/n(t)","latex":"\\frac{\\text{d}n(t)}{n(t)}"}],"sources":["PAC, 1992, 64, 1569. 'Quantities and units for metabolic processes as a function of time (IUPAC Recommendations 1992)' on page 1571 (https:\/\/doi.org\/10.1351\/pac199264101569)"]}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/F02495\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/F02495\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/F02495\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/F02495\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/F02495\/pdf"},"citeas":"IUPAC. Compendium of Chemical Terminology, 2nd ed. (the \"Gold Book\"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). Online version (2019-) created by S. J. Chalk. ISBN 0-9678550-9-8. https:\/\/doi.org\/10.1351\/goldbook.","license":"Licensed under Creative Commons Attribution-NoDerivatives (CC BY-NC-ND) 4.0 International (https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/)","collection_reuse":"For parties interested in reusing the entire IUPAC Gold Book please contact IUPAC here https:\/\/www.cognitoforms.com\/IUPAC1\/ContactInformationForm","disclaimer":"The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.","accessed":"2023-10-03T09:52:02+00:00"}}