Calculate the entropy for 2.3 moles of neon gas at T= 289 K and p = 0.8 atm. State your answer in J K as a number in normal form accurate to 1 decimal place (X.X or XX.X, etc.). Do not include units in your answer. Calculate the Helmholtz free energy for 1.3 moles of neon gas at T= 339 K and p = 0.9 atm

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Giancarlo Shah · Accepted Answer

The entropy can be calculated from the Sackur-Tetrode relation:The relation is:  S  =  n  R  ln  ⁡  (                    e                  5                      /                    2                    K      T              P              λ        3              )where   Λ  =      h          2      π      m      K      T          Λ  =            6.626      ×              10                  −          34                            2      ×      3.14      ×      3.35      ×              10                  −          26                    ×      1.38      ×              10                  −          23                    ×      562          =  1.64  ×      10          −      11      The entropy is calculated as follows:  S  =  2.3  ×  8.314  ln  ⁡  (                    e                  5                      /                    2                    1.38      ×              10                  −          23                    ×      562      K              0.8      ×      1.013      ×              10        5            P      a      ×      (      1.64      ×              10                  −          11                            )        3              )    =  2.3  ×  8.314  ×  12.484    =  238.72     J      /    K

Calculate the entropy for 2.3 moles of neon gas at T= 289 K and p = 0.8 atm. State your answer in J

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