3. (i) As accurately as possible, calculate the change in energy and entropy for the process of taking an ice cube (you can assume a typical ice cube is 1 inch cubed ) out of your freezer at -30°C and heating at atmospheric pressure to a final state of steam at 180°C. As a reminder, to calculate thermodynamics as accurately as possible, do NOT assume ideal behavior or that the heat capacities are independent of temperature. Instead, use the temperature dependent heat capacities, which are very well known for all forms of H2O. It can really help to look at this problem graphically through plots of the energy and entropy as a function of temperature (over the range covered in the problem, 30°C to 180°C).
(ii) Graphically represent this thermodynamic problem with full credit given to clear, understandable graphically representations (typically 2D plots, but use whatever you feel is the best and most clear graphical representation) of the problem and associated solution.
(iii) Graphically show the results for this same problem where you assume ideal behavior and temperature independent heat capacities of ice, water and steam.
3. (i) As accurately as possible, calculate the change in energy and entropy for the process of taking an ice cube (you can assume a typical ice cube is 1 inch cubed ) out of your freezer at -30°C and heating at atmospheric pressure to a final state of steam at 180°C. As a reminder, to calculate thermodynamics as accurately as possible, do NOT assume ideal behavior or that the heat capacities are independent of temperature. Instead, use the temperature dependent heat capacities, which are very well known for all forms of H2O. It can really help to look at this problem graphically through plots of the energy and entropy as a function of temperature (over the range covered in the problem, 30°C to 180°C).
(ii) Graphically represent this thermodynamic problem with full credit given to clear, understandable graphically representations (typically 2D plots, but use whatever you feel is the best and most clear graphical representation) of the problem and associated solution.
(iii) Graphically show the results for this same problem where you assume ideal behavior and temperature independent heat capacities of ice, water and steam.
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