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Question

What is the dryness fraction (x) of a saturated liquid-vapour mixture?

The correct answer is
0

Dryness Fraction Definition

The dryness fraction, denoted by the symbol $x$, is a property used for saturated liquid-vapour mixtures. It represents the fraction of the total mass that is vapour.

Mathematically, it's defined as:

$x = \frac{m_{vapour}}{m_{total}} = \frac{m_{vapour}}{m_{liquid} + m_{vapour}}$

Interpreting Dryness Fraction Values

  • A dryness fraction of $x = 0$ indicates that the substance is entirely in the saturated liquid state (100% liquid).
  • A dryness fraction of $x = 1$ indicates that the substance is entirely in the saturated vapour state (100% vapour).
  • Values between 0 and 1 ($0 < x < 1$) represent a mixture of saturated liquid and saturated vapour.

Dryness Fraction for Saturated Liquid

The question specifically asks for the dryness fraction of a saturated liquid. By definition, a saturated liquid contains no vapour. This means the mass of the vapour component is zero ($m_{vapour} = 0$).

Applying this to the formula:

$x = \frac{0}{m_{liquid} + 0} = 0$

Therefore, the dryness fraction of a saturated liquid is 0.

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Important Questions from Thermodynamic Properties of Steam & Steam Tables

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