Final answer:
The volume fraction of vapor for water at 100 kPa with a quality of 10% is 10%, indicating that the vapor occupies 10% of the total volume of the mixture.
Step-by-step explanation:
The student has asked about the volume fraction of vapor for water at 100 kPa with a quality of 10%. Quality in thermodynamics refers to the ratio of the mass of vapor present in a saturated mixture to the total mass of that mixture. Since the student is asking about the volume fraction of vapor, it is important to note that the volume fraction can be considered equivalent to the quality for a two-phase liquid-vapor mixture at equilibrium, assuming the specific volume of the liquid phase is much smaller than that of the vapor phase. Therefore, with a quality of 10%, the volume fraction of vapor is also 10%, meaning that vapor occupies 10% of the total volume of the mixture.