Kit Library / Engineering / Thermodynamics

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Properties of steam

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💡 Key Idea

Steam Quality: Dryness Fraction (x)

The single most important property of wet steam.

Dryness fraction ($x$) is the mass fraction of vapor in a saturated mixture of liquid and vapor. It ranges from 0 (saturated liquid) to 1 (dry saturated vapor). For wet steam, $x$ is always between 0 and 1.

↳ Dryness fraction tells you how much of the steam is actually vapor—critical for calculating other properties.

➗ Formula

Specific Volume of Wet Steam

Volume depends on how dry the steam is.

The specific volume of wet steam ($v$) is a weighted average of the specific volumes of saturated liquid ($v_f$) and saturated vapor ($v_g$).

↳ Specific volume of wet steam is a linear interpolation between liquid and vapor volumes based on dryness fraction.

➗ Formula

Enthalpy of Wet Steam

Energy content is also a weighted average.

The specific enthalpy of wet steam ($h$) is calculated similarly, using the enthalpy of saturated liquid ($h_f$) and the enthalpy of vaporization ($h_{fg}$).

↳ Enthalpy of wet steam = enthalpy of liquid + fraction of latent heat corresponding to dryness.

📖 Smart notes

What you'll study, topic by topic

1

Properties of Steam: Dryness Fraction, Enthalpy, and Specific Volume

This topic covers the essential properties of steam, focusing on dryness fraction, specific volume, enthalpy, and internal energy for wet steam, as well as the distinction between saturated and superheated steam. It expl...

  • Dryness fraction (x) is the mass fraction of vapor in a saturated mixture, ranging from 0 (liquid) to 1 (dry vapor).
  • Specific volume of wet steam: $v = v_f + x(v_g - v_f)$.
  • Specific enthalpy of wet steam: $h = h_f + x \cdot h_{fg}$.

~8 min · full explanation, examples & memory tricks in the app

❓ Leveled MCQ practice

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18 questions laddered from warm-up to topper-level, each with an explanation. A taste:

What does the dryness fraction (x) of a saturated steam–water mixture represent?

Beginner
A The mass of dry steam per unit mass of the mixture B The total enthalpy of the mixture C The mass of water in the mixture D The temperature of the mixture
Show answer & explanation

The mass of dry steam per unit mass of the mixture

Dryness fraction is defined as the ratio of the mass of dry steam (vapor) to the total mass of the mixture (vapor + liquid).

If the dryness fraction of steam is 0.85, what is the percentage of moisture (liquid water) in the mixture?

Beginner
A 8.5% B 85% C 1.5% D 15%
Show answer & explanation

15%

Moisture fraction = 1 - x = 1 - 0.85 = 0.15, which is 15%.

For a saturated liquid, what is the value of the dryness fraction (x)?

Beginner
A 0 B Undefined C 0.5 D 1
Show answer & explanation

0

A saturated liquid contains no vapor, so the mass of dry steam is zero, giving x = 0.

The specific volume of a saturated liquid–vapor mixture can be calculated using the formula: $v = v_f + x(v_g - v_f)$. What does $v_g$ represent?

Intermediate
A Specific volume of the mixture B Specific volume of saturated vapor C Specific volume of superheated steam D Specific volume of saturated liquid
Show answer & explanation

Specific volume of saturated vapor

$v_g$ is the specific volume of saturated vapor (dry saturated steam) at the given pressure or temperature.

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