<?xml version="1.0" encoding="UTF-8"?>
<term>
  <id>00969</id>
  <title>change ratio of a quantity</title>
  <longtitle>IUPAC Gold Book - change ratio of a quantity</longtitle>
  <doi>10.1351/goldbook.C00969</doi>
  <code>C00969</code>
  <status>current</status>
  <definitions>
    <item>
      <id>1</id>
      <text>A term which may be expressed infinitesimally at time \(t\) by a ratio of differentials \(\frac{\rm{d}Q_{1}(t)}{\rm{d}Q_{2}(t)}\) where the kind of quantities are the same but for different components in the same system. In practice, the ratio for a finite interval is: \[\frac{\Delta Q_{1}(t_{1};\,t_{2})}{\Delta Q_{2}(t_{1};t_{2})}\] Examples are: mass change ratio, \(\frac{\rm{d}m_{1}(t)}{\rm{d}m_{2}(t)}\); amount of substance change ratio, \(\frac{\rm{d}n_{1}(t)}{\rm{d}n_{2}(t)}\).</text>
      <links>
        <item>
          <term>amount of substance</term>
          <url>https://goldbook.iupac.org//terms/view/A00297</url>
        </item>
      </links>
      <sources>
        <item>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)</item>
      </sources>
    </item>
  </definitions>
  <altoutputs>
    <html>https://goldbook.iupac.org/terms/view/C00969/html</html>
    <json>https://goldbook.iupac.org/terms/view/C00969/json</json>
    <plain>https://goldbook.iupac.org/terms/view/C00969/plain</plain>
  </altoutputs>
  <citation>Citation: 'change ratio of a quantity' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.C00969</citation>
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  <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.</disclaimer>
  <accessed>2026-04-19T00:35:10+00:00</accessed>
</term>
