\relax \@writefile{toc}{\contentsline {chapter}{\numberline {2}SPECIFIC HEAT CAPACITY OF METALS }{19}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{ch.SpHtKRN}{{2}{19}} \@writefile{toc}{\contentsline {section}{\numberline {2.1}Theoretical background}{19}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1.1}Introduction to calorimetry}{19}} \newlabel{eq:heatbalance}{{2-1}{20}} \newlabel{eq:cOne}{{2-2}{20}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1.2}Classical view of specific heats (based on kinetic theory)}{20}} \newlabel{eq:ClassicalE}{{2-3}{20}} \newlabel{eq:ClassicalCv}{{2-4}{20}} \newlabel{eq:ClassicalCv}{{2-5}{20}} \newlabel{eq:ClassicalC2at}{{2-6}{21}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1.3}Einstein’s theory of the heat capacity of a solid}{21}} \newlabel{eq:Quantize}{{2-7}{21}} \newlabel{eq:AvEn}{{2-8}{21}} \newlabel{eq:EinCv}{{2-9}{21}} \@writefile{toc}{\contentsline {section}{\numberline {2.2}Pre-lab tasks}{21}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.2.1}Diamond: Einstein's choice}{22}} \@writefile{lof}{\contentsline {figure}{\numberline {2.1}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Einstein plotted the heat capacity of diamond (circles) as a function of temperature to show that atomic vibrations in solids are quantized. The temperature (x axis) is $T/\Theta _{\rm E}$. The heat capacity (y axis) is given in cal/(mol K). The smooth curve is his prediction.}}{22}} \newlabel{fig:EinsteinHeer}{{2.1}{22}} \@writefile{lof}{\contentsline {figure}{\numberline {2.2}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip The specific heat data in Table 1 have been plotted against the temperature $T$. By choosing a suitable value for$\Theta _{\rm E}$ you should be able to reproduce the smooth theoretical curve. }}{23}} \newlabel{fig:Figure2}{{2.2}{23}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.2.2}Data on aluminium}{23}} \@writefile{lof}{\contentsline {figure}{\numberline {2.3}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip A plot of the data in Table 2; other comments as in Figure 2. }}{24}} \newlabel{fig:Figure3}{{2.3}{24}} \@writefile{lof}{\contentsline {figure}{\numberline {2.4}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 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\newlabel{fig:Figure6}{{2.6}{26}} \@writefile{toc}{\contentsline {section}{\numberline {2.3}In the laboratory}{26}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.3.1}Laboratory etiquette}{26}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.3.2}Collection and analysis of data}{27}} \@writefile{toc}{\contentsline {section}{\numberline {2.4}Specific heat data for aluminium}{28}} \@writefile{toc}{\contentsline {section}{\numberline {2.5}Specific heat data for fluorine}{30}} \@writefile{toc}{\contentsline {section}{\numberline {2.6}Operating the balance}{31}} \@writefile{lof}{\contentsline {figure}{\numberline {2.7}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip The level indicator}}{31}} \newlabel{fig:leveling}{{2.7}{31}} \@writefile{lof}{\contentsline {figure}{\numberline {2.8}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6.5\p@ plus3.5\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 5\p@ plus2.5\p@ minus\p@ \topsep 10\p@ plus4\p@ minus6\p@ \itemsep 5\p@ plus2.5\p@ minus\p@ {\leftmargin \leftmargini \topsep 9\p@ plus3\p@ minus5\p@ \parsep 4.5\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Instructions for On/Off switching and simple weighing}}{31}} \newlabel{fig:Balance131c}{{2.8}{31}} \@writefile{lof}{\contentsline {figure}{\numberline {2.9}{\ignorespaces \relax \fontsize {10.95}{13.6}\selectfont \abovedisplayskip 11\p@ plus3\p@ minus6\p@ \abovedisplayshortskip \z@ plus3\p@ 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