Component (1) has a molar volume of 90 m3/mol; component (2) has a molar volume of 110 m3/mol. When you add 25 moles of component (1) to 75 moles of component (2), what is the best estimate of the total molar volume if you assume an ideal solution?
A. 95 m3/mol
B. 110 m3/mol
C. 90 m3/mol
D. 100 m3/mol
E. 105 m3/mol
A. Incorrect. You are using the correct method, but have mixed up the two components mole fractions. Try again.
B. Incorrect. For an ideal solution, each component contributes to the mixture’s molar volume by a mole fraction weighted average. This is the molar volume of pure (2), so it cannot be the molar volume of the mixture.
C. Incorrect. For an ideal solution, each component contributes to the mixture’s molar volume by a mole fraction weighted average. This is the molar volume of pure (1), so it cannot be the molar volume of the mixture.
D. Incorrect. For an ideal solution, each component contributes to the mixture’s molar volume by a mole fraction weighted average. This is an arithmetic mean average that would only be correct if the mixture was 50 moles of (1) and 50 moles of (2).
E. Correct. Applying the ideal solution volume example from Table 9-2, this is the correct answer.
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