If the moisture content M is 0.25, what is the corresponding quality x using x = 1 - M?

If the moisture content M is 0.25, what is the corresponding quality x using x = 1 - M?

• A. 0.75
• B. 0.25
• C. 0.5
• D. 1.25

Answer: (A)

In a saturated mixture, the quality x measures the fraction of the total mass that is in the vapor phase, while the moisture content M here represents the liquid fraction of the total mass. Since every bit of mass is either liquid or vapor, x + M = 1. Therefore x = 1 − M. With M = 0.25, x = 0.75, meaning 75% of the mass is vapor and 25% is liquid. The other numbers would imply the liquid fraction alone, an even split, or an impossible vapor fraction greater than 1.

In a saturated mixture, the quality x measures the fraction of the total mass that is in the vapor phase, while the moisture content M here represents the liquid fraction of the total mass. Since every bit of mass is either liquid or vapor, x + M = 1. Therefore x = 1 − M. With M = 0.25, x = 0.75, meaning 75% of the mass is vapor and 25% is liquid. The other numbers would imply the liquid fraction alone, an even split, or an impossible vapor fraction greater than 1.