A liquid-vapor equilibrium mixture is confined in a closed system with a total volume of 1 m3. The temperature of the mixture is 350 K and the pressure is 150 kPa. The liquid has a molar volume of 8 × 10-5 m3/mol and the vapor can be modeled as an ideal gas. If there are 100 total moles, what is the number of moles in the liquid phase?

A. 51.3 mol
B. 48.7 mol
C. -51.3 mol
D. 0.414 mol
E. Only 1 degree of freedom exists in the system, but two properties are specified (T and P), so the problem is invalid/void/impossible.


A. Incorrect. Your calculations are probably correct, but you have misread the problem statement.
B. Correct. Following Example 2-1 provides the correct answer.
C. Incorrect. A negative material or molar amount is physically impossible and should never be returned as an answer to a problem. Recheck your variables to find the problem.
D. Incorrect. You have probably gotten careless with units. Redo the final calculations and carry the units through until the end.
E. Incorrect. The temperature and pressure are not being “set” by external influence (such as by laboratory equipment) but are being “measured” from the system at rest (such as by a pressure gage and thermometer). These are needed to solve the problem.

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