# Calculate the dryness fraction of steam which has 1.5 kg of water in suspension with 50 kg of steam.

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Calculate the dryness fraction of steam which has 1.5 kg of water in suspension with 50 kg of steam.

1. 0.83
2. 0.97
3. 0.68
4. 0.75

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Correct Answer - Option 2 : 0.97

Concept:

Dryness fraction of steam(x):

Ratio of mass of dry steam to the summation of the mass of dry steam and mass of water vapour in the mixture.

$x = \frac{{{m_g}}}{{{m_g}~ +~ {m_f}}}$

where mg = mass of dry steam, mf = mass of water vapour

Calculation:

Given:

mg = 50 kg, m= 1.5 kg

$x = \frac{{50}}{{50 ~+ ~1.5}}$= 0.97