Calculate delta G and delta A for the freezing of 1.00 mol of H2O at 0oC and 1 atm. The heat of fusion of water at 0oC is 6002 J mol-1. The density of ice at 0oC and 1 atm is 0.917 g cm-3, and that of water at the same conditions is 1.000 g cm-3.The correct answers are 0; -0.16 respectively but i'm getting a different one

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Calculate delta G and delta A for the freezing of 1.00 mol of H2O at 0oC and 1 atm. The heat of fusion of water at 0oC is 6002 J mol-1. The density of ice at 0oC and 1 atm is 0.917 g cm-3, and that of water at the same conditions is 1.000 g cm-3.The correct answers are 0; -0.16 respectively but i&#039;m getting a different one

Cristal Obrien · Accepted Answer

In the above problem we need to calculate, the change in Gibbs free energy (  △  GG) and change in Helmholtz (  △  AA) free energy for freezing of 1 mol of H20 at 0 C and 1 atmGiven,       ρ          ice        =  0.917  g      /    c      m    3          ρ          water        =  1  g      /    c      m    3  Now, at 0°C, water and ice are in equilibrium, since that is the freezing point of water. At equilibrium the free energy change associated with the process = 0i.e.,   △  G for freezing of water at 0°C and 1 atmThis can also be proved mathematically as:Given   △  H  =  6002     J      /    m  o  l and we know   △  S  =  △      H          fusion            /    T  =  6002      /    273  △  G  =  △  H  −  T  △  S  =  6002  (      J          m      o      l        )  −  (  273  (  K  )  ×            6002      J              /            m      o      l              273      K        =  0Now, we know that   △  G and   △  A are related to each other by,   △  G  =  △  A  +  △  (  P  V  )Now,   P  △  VV can be calculated as:      10    5    P  a  (      1          ρ              water              −      1          ρ              ice              )  ×            1      c              m        3                            10        6                    m        3              ×  18.015  (  g  l  m  o  l  )    =  −  0.16  J      /    m  o  lTherefore   △  A  =  −  0.16  J      /    m  o  l

Calculate delta G and delta A for the freezing of 1.00 mol of H2O at 0oC and 1 atm. The heat of fusi

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