Consider a cube with a volume of 1 m!. A single molecule with volume 1 Å! is added to this cube (1 Å = 1 × 10"#$ m). A. Find the multiplicity of the macrostate of having one molecule in the cube, Ω%&',#. Recall that we can think of this as how many locations in the volume the molecule can be in. B. Find the energetic multiplicity of this macrostate, Ω)*,#, if the molecule has 3 quadratic degrees of freedom and 2 energy blocks in it. A second molecule is added to the cube. Because the molecules are so tiny compared to the volume of the cube, we can assume that the second molecule effectively has the same number of locations it can be in as the first does. The temperature is held constant, so the second molecule on average has the same number of energy blocks in it as the first does. C. What is the volumetric multiplicity of the macrostate with 2 molecules in this volume? D. What is the energetic multiplicity of the macrostate with 2 molecules in this volume? E. If the gas in the volume is carbon dioxide, and each molecule has � = 20 energy blocks in it on average, determine the total multiplicity (both volumetric and energetic) of # + mol of molecules in this volume. Then determine the total entropy.