Question One

A$.$ State the third law of thermodynamics

$[5$ marks$]$

B$.$ Describe the experiment used to verify the third law. Use the example of $S,$ the data as below:

Smonocinic stable to $368\mathrm{.}5K$

$S_{\text{t}\text{h}\text{o}\text{m}\text{b}\text{i}\text{c}}$ stable above $368\mathrm{.}5K$

${\displaystyle \underset{0}{\overset{368\mathrm{.}5}{}}}Cp(rhomb)dlnT=36\mathrm{.}86$

${\displaystyle \underset{368\mathrm{.}5}{\overset{0}{}}}Cp(rhomb)dlnT=-37\mathrm{.}8$

$[10$ marks$]$

C$.$ What is Troutons law? Draw the diagram that illustrates the law

$[5$ marks$]$

D$.$ Molar heat capacities of nickel are listed. Calculate the standard entropy of nickel at $298K.$ Assume that Debye's equation applie

$[30$ marks$]$

$\backslash$table$[[$Temp $($K$),15,25,47,67,82,133\mathrm{.}5,204,256\mathrm{.}5,283,300],[Cp\frac{J}{K}\frac{?}{\text{m}\text{o}\text{l}},0\mathrm{.}19,0\mathrm{.}59,3\mathrm{.}56,7\mathrm{.}61,10\mathrm{.}08,17\mathrm{.}87,22\mathrm{.}72,24\mathrm{.}81,26\mathrm{.}07,26\mathrm{.}36]]$