Correct Answer - Option 2 :
\(\frac{y}{x +y}\)
Explanation:
Dryness fraction:
Dryness fraction (x) of steam is defined as the ratio of the mass of the dry steam to the total mass of both dry steam and liquid.
\(x = \frac{{{m_g}}}{{{m_f} + {m_g}}}\;\left( {0 \le x \le 1} \right)\)
where mg = mass of the dry steam and mf = mass of liquid
Calculation:
Given:
mg = y, mf = x
Dryness fraction = \(\frac {m_g}{m_f+m_g} = \frac {y}{x+y}\)