One kg of steam sample contains 0.4 kg dry steam, it’s dryness fraction is

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BPSC AE Paper 5 (Mechanical) 2012 Official Paper
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  1. 0.4
  2. 0.6
  3. 4/14
  4. 0.4 × 0.6

Answer (Detailed Solution Below)

Option 1 : 0.4
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Detailed Solution

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Explanation:

  • Dryness fraction is defined as the ratio of the mass of dry steam and the combined mass of dry steam & mass of water vapour in the mixture. It is denoted by x.

\(Dryness\;fraction\;\left( x \right) = \frac{{mass\;of\;vapour\;\left( {{m_v}} \right)}}{{mass\;of\;vapour\;\left( {{m_v}} \right) + mass\;of\;liquid\;\left( {{m_l}} \right)}}\)

  • For saturated liquid x = 0
  • For saturated vapour x = 1
  • The value of the dryness fraction lies between 0 and 1.

Calculation:

Given:

\(x= \frac{{Mass\;of\;dry~steam}}{{Mass\;of\;dry~steam + Masss\;of\;water\;in\;suspension}} = \frac{{{m_v}}}{{{m_v} + {m_f}}} = \frac{{0.4}}{{0.4 + 0.6}} = \frac{{0.4}}{1} = 0.4\)

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