Each H2O molecule in crystalline ice is bonded to four tetrahedrally distributed oxygen atoms by hydrogen bonds. (a) Show, by drawing the distinct arrangements of the four hydrogen atoms about a central oxygen atom, that there are six different but equivalent arrangements for each molecule. (b) By also considering the arrangements of the 0 atoms at the corners of the tetradhedron, show that for a lattice of N water molecules, there are ((6)/(4))N chemically equivalent possible arrangements. (c) Hence calculate the molar residual entropy of water.

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Each H2O molecule in crystalline ice is bonded to four tetrahedrally distributed oxygen atoms by hydrogen bonds. (a) Show, by drawing the distinct arrangements of the four hydrogen atoms about a central oxygen atom, that there are six different but equivalent arrangements for each molecule. (b) By also considering the arrangements of the 0 atoms at the corners of the tetradhedron, show that for a lattice of N water molecules, there are ((6)/(4))N chemically equivalent possible arrangements. (c) Hence calculate the molar residual entropy of water.

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