A mass of wet steam contains 15% liquid water. The dryness fracti

A mass of wet steam contains 15% liquid water. The dryness fracti
| A mass of wet steam contains 15% liquid water. The dryness fraction of steam is 

A. 0.15

B. 0.85

C. 1.15

D. None of these

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Concept:

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 vapor = 1

The value of dryness fraction lies between 0 and 1.

Calculation:

Given:

ml = 15, mv = 85.

\(Dryness~fraction~(x)~=~\frac{85}{15~+~85}~=~0.85\)

x = 0.85