Which of the following are true statements about the molar volume of the mixture?
The molar volume of a binary mixture can be represented by the following function at a given temperature and pressure: V = 22.15 + 24.10x1 + 3.83x12. Here, V has units of m3/mol.
A. The molar volume of pure component (2) is equal to 50.08 m3/mol.
B. The molar volume of pure component (1) is equal to 24.10 m3/mol.
C. The molar volume of the equimolar mixture is 35.16 m3/mol.
D. The reference molar volume is set equal to zero for the pure components.
E. None of the above are true.
A. Incorrect. Pure component 2 would have an x1 of 0, so V would be 22.15 m3/mol.
B. Incorrect. For x1 = 1, V = 22.15 + 24.10 + 3.83 = 50.08 m3/mol.
C. Correct. If one plugs in x1 = 0.5 into the molar volume expression and solves, the answer is 35.16 m3/mol.
D. Incorrect. Reference states are used only with enthalpy, internal energy, Gibbs free energy and other state properties that cannot be directly measured and must be calculated as a difference from some reference value. Volumes are directly measured, avoiding the need for a reference state.
E. Incorrect. One statement is correct.
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