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  <resource>
  <id>6463</id>
  <path>/www/nrich/html/content/id/6463/</path>
  <resourceTypeID>5</resourceTypeID>
  <last_published>2011-02-01T00:00:01</last_published>
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&lt;table border=&quot;0&quot; class=&quot;iconstrip&quot; padding=&quot;0&quot; width=&quot;600&quot;&gt;
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&lt;td colspan=&quot;6&quot; style=&quot;text-align: center;&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;stemNRICH : Science, Technology, Engineering, Mathematics&lt;/span&gt; &lt;span style=&quot;font-weight: bold; font-style: italic;&quot;&gt;enriched&lt;/span&gt;&lt;/td&gt;
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&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6165&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner1.jpg&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/td&gt;
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&lt;div align=&quot;center&quot; style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6169&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner2.jpg&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;td style=&quot;text-align: center;&quot; width=&quot;100&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6560&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner3.png&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/td&gt;
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&lt;div align=&quot;center&quot; style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6634&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner4.jpg&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;td style=&quot;text-align: center;&quot; width=&quot;100&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6144&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner5.jpg&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/td&gt;
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&lt;div align=&quot;center&quot; style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6633&amp;amp;part=&quot;&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;100&quot; src=&quot;banner6.jpg&quot; width=&quot;100&quot;&gt;&lt;/mdo:image&gt;&lt;/a&gt;&lt;/div&gt;
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&lt;p&gt;Welcome to &lt;span style=&quot;font-weight: bold;&quot;&gt;chemNRICH&lt;/span&gt;: the chemistry section of &lt;a href=&quot;http://nrich.maths.org/6298&amp;amp;part=&quot;&gt;stemNRICH&lt;/a&gt;. This contains mathematical activities for students aged 14 - 19 designed to complement and enhance the study of chemistry.&lt;br&gt;&lt;/br&gt;
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&lt;th scope=&quot;col&quot; width=&quot;100&quot;&gt;Area of chemical maths&lt;/th&gt;
&lt;th scope=&quot;col&quot; width=&quot;25&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/6103&amp;amp;part=&quot;&gt;Style&lt;/a&gt;&lt;/th&gt;
&lt;th scope=&quot;col&quot; width=&quot;150&quot;&gt;Question&lt;/th&gt;
&lt;th scope=&quot;col&quot;&gt;Description&lt;/th&gt;
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&lt;td rowspan=&quot;3&quot;&gt;Molecular masses&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td style=&quot;font-style: normal;&quot;&gt;
&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6561&amp;amp;part=&quot;&gt;Heavy Hydrocarbons&lt;/a&gt;&lt;/div&gt;
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&lt;td&gt;Explore the distribution of molecular masses for various hydrocarbons.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
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&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6562&amp;amp;part=&quot;&gt;Molecular Sequencer&lt;/a&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td&gt;Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;lips30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
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&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6581&amp;amp;part=&quot;&gt;Spectrometry Detective&lt;/a&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td&gt;From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?&lt;/td&gt;
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&lt;td rowspan=&quot;3&quot;&gt;Dilutions&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;interactive30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6163&amp;amp;part=&quot;&gt;Dilution Series Calculator&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;In this interactive tool a bacterial solution is diluted in four stages. Can you work out what the final concentration will be? Practise with new questions until you understand the process.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;interactive30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6164&amp;amp;part=&quot;&gt;Investigating the Dilution Series&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Follow on from the previous question by choosing the dilutions in each of four stages to try to match certain final targets.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;interactive30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6165&amp;amp;part=&quot;&gt;Exact Dilutions&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Save on the washing up! Using just three beakers can you create dilutions of certain concentrations?&lt;/td&gt;
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&lt;td rowspan=&quot;4&quot;&gt;Logarithms and pH&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6168&amp;amp;part=&quot;&gt;pH Temperature&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;From a table of data for the dissociation constant of water at various temperatures, work out how hot water must be to have different pH values.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6167&amp;amp;part=&quot;&gt;Mixing pH&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Use the pH formula to calculate the pH and concentrations of dilutions.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6169&amp;amp;part=&quot;&gt;Extreme Dissociation&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Take the pH formula to its theoretical limits in these extreme calculations.&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6166&amp;amp;part=&quot;&gt;Blood Buffers&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;In this extended question explore how blood buffers keep the pH levels balanced in the human body.&lt;/td&gt;
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&lt;td&gt;Atoms and particles&lt;/td&gt;
&lt;td colspan=&quot;3&quot;&gt;See the Atoms and Particles problems on the &lt;a href=&quot;http://nrich.maths.org/6465&amp;amp;part=&quot;&gt;physNRICH&lt;/a&gt; pages&lt;/td&gt;
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&lt;td rowspan=&quot;2&quot;&gt;Reaction kinetics&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6144&amp;amp;part=&quot;&gt;Catalyse That&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Explore rates of a temperature dependent reaction&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;lips30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td style=&quot;font-style: normal;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/6454&amp;amp;part=&quot;&gt;Reaction Types&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;How can algebra be used to represent different reaction types? What does the equation tell us about the behaviour of the reaction?&lt;/td&gt;
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&lt;td rowspan=&quot;4&quot;&gt;Gases&lt;/td&gt;
&lt;td colspan=&quot;3&quot;&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;See also the Gas Laws problems on the&lt;/span&gt; &lt;a href=&quot;http://nrich.maths.org/6465&amp;amp;part=&quot; style=&quot;font-style: italic;&quot;&gt;physNRICH&lt;/a&gt; &lt;span style=&quot;font-style: italic;&quot;&gt;pa&lt;/span&gt;&lt;span style=&quot;font-style: italic;&quot;&gt;ges&lt;/span&gt;&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
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&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6579&amp;amp;part=&quot;&gt;Eudiometry&lt;/a&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td&gt;Which reactions cause an increase in volume, and which a decrease?&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;lips30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
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&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6580&amp;amp;part=&quot;&gt;Gassy Information&lt;/a&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td&gt;Does each of these scenarios allow you fully to deduce the required facts about the reactants?&lt;/td&gt;
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&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6634&amp;amp;part=&quot;&gt;Diamonds Aren&amp;#39;t Forever&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Investigate the ideal gas laws in the context of diamond gas.&lt;/td&gt;
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&lt;td rowspan=&quot;3&quot;&gt;Bonds, geometry and crystals&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;lips30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6574&amp;amp;part=&quot;&gt;Coordinated Crystals&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Practise your visualisation skills regarding 3D crystal structures.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6451&amp;amp;part=&quot;&gt;Bond Angles&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Put your vectors to the test with this exploration of the geometry of tetrahedral molecules and ammonia.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;stopwatch30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6640&amp;amp;part=&quot;&gt;Stereoisomers&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Which of these molecules can be rotated on to each other, and which are stereoisomers?&lt;/td&gt;
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&lt;td rowspan=&quot;1&quot;&gt;Enthalpy&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6635&amp;amp;part=&quot;&gt;Which Salt?&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Work out why common salt is not NaCl2 by analysing the Born-Haber cycle.&lt;/td&gt;
&lt;/tr&gt;
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&lt;td rowspan=&quot;3&quot;&gt;Moles and molarity&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;interactive30x30.JPG&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=6150&amp;amp;part=&quot;&gt;Conversion Sorter&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;A molarity calculation has been written out and broken up into several pieces. Can you use the interactive tool to rearrange the pieces of the calculation into their logical order?&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td style=&quot;font-style: normal;&quot;&gt;
&lt;div&gt;&lt;a href=&quot;http://nrich.maths.org/6570&amp;amp;part=&quot;&gt;Reductant Ratios&lt;/a&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td&gt;What does the empirical formula of this mixture of iron oxides tell you about its constituents?&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6633&amp;amp;part=&quot;&gt;Smoke and Daggers&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Give your general chemistry and knowledge of moles and concentrations a workout with this entertaining extended problem concerning the dangers of smoking.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td rowspan=&quot;3&quot;&gt;Advanced mathematics in chemistry&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6623&amp;amp;part=&quot;&gt;CSI: Chemical Scene Investigation&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Give your general quantitative chemistry and problem solving skills a workout in this entertaining extended investigation.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;individual30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6569&amp;amp;part=&quot;&gt;The Real Hydrogen Atom&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6638&amp;amp;part=&quot;&gt;Clear as Crystal&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td rowspan=&quot;2&quot;&gt;Articles&lt;/td&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td style=&quot;font-style: normal;&quot;&gt;&lt;a href=&quot;http://nrich.maths.org/6652&amp;amp;part=&quot;&gt;Inspect Your Gadgets&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Look at the tools and mathematics which underly quantitative chemistry.&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;mdo:image alt=&quot;&quot; height=&quot;30&quot; src=&quot;investigate30x30.jpg&quot; width=&quot;30&quot;&gt;&lt;/mdo:image&gt;&lt;/td&gt;
&lt;td&gt;&lt;a href=&quot;http://nrich.maths.org/6637&amp;amp;part=&quot;&gt;Reaction Rates!&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Find out how rates of reactions and equations go together.&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;&lt;/mdoxml&gt;</indexXML>
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  <end_user_role>2</end_user_role>
  <difficulty>3</difficulty>
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  <keystage2>0</keystage2>
  <keystage3>0</keystage3>
  <keystage4>1</keystage4>
  <keystage4plus>1</keystage4plus>
  <title>\chemNRICH</title>
  <description>chemNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of chemistry, designed to help
develop the mathematics required to get the most from your study of
chemistry at A-level and university.</description>
  <spec_group>Applications
    <specifier>chemistry</specifier>
  </spec_group>
  <spec_group>Applications
    <specifier>biology</specifier>
  </spec_group>
  <spec_group>Applications
    <specifier>physics</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Real world</specifier>
  </spec_group>
  <spec_group>Using, Applying and Reasoning about Mathematics
    <specifier>Mathematical modelling</specifier>
  </spec_group>
  <spec_group>Mathematics Education and Research
    <specifier>Rich Tasks</specifier>
  </spec_group>
  <spec_group>Mathematics Education and Research
    <specifier>Enrichment</specifier>
  </spec_group>
  <spec_group>Mathematics Education and Research
    <specifier>Gifted and Talented</specifier>
  </spec_group>
</resource>