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The boiling point of water in a \( 0.1 \) molal silver nitrate solution (solution \( A \)) is \( x^\circ \mathrm{C} \). To this solution \( A \), an equal volume of \( 0.1 \) molal aqueous barium chloride solution is added to make a new solution \( B \). The difference in the boiling points of water in the two solutions \( A \) and \( B \) is \( y \times 10^{-2} \, ^\circ \mathrm{C} \). (Assume: Densities of the solutions \( A \) and \( B \) are the same as that of water and the soluble salts dissociate completely. Use: Molal elevation constant (Ebullioscopic Constant), \( K_b = 0.5 \, \text{K kg mol}^{-1} \); Boiling point of pure water as \( 100^\circ \mathrm{C} \).)

The value of \( x \) is ______.

The boiling point of water in a \( 0.1 \) molal silver nitrate solution (solution A) is \( x^\circ \, \text{C} \). To this solution A, an equal volume of \( 0.1 \) molal aqueous barium chloride solution is added to make a new solution B. The difference in the boiling points of water in the two solutions A and B is \( y \times 10^{-2} \, ^\circ \text{C} \).
(Assume : Densities of the solutions A and B are the same as that of water and the soluble salts dissociate completely. Use : Molal elevation constant (Ebullioscopic Constant), \( K_b = 0.5 \, \text{K kg mol}^{-1} \); Boiling point of pure water as \( 100^\circ \text{C} \).)
The value of \( |y| \) is ______.

In a solvent \( S \), a compound \( B \) is partially dissociated into \( C \) and \( D \) as given below:
\( B \rightleftharpoons 2C + 2D \)
\( B, C \) and \( D \) are non-volatile in nature. The molar mass of \( B \) is \( 10 \) times the molar mass of \( S \). The standard boiling point and the standard enthalpy of vaporization of \( S \) are \( 400 \, \text{K} \) and \( 10R \, \text{J mol}^{-1} \), respectively \( (R \) is the gas constant in \( \text{J K}^{-1} \text{ mol}^{-1}) \). A solution of \( B \) in \( S \) with an initial concentration of \( B \) as \( 0.25\% \) (mass/mass) has a boiling point of \( 408 \, \text{K} \) at \( 1 \) bar pressure. In this solution, the mole percent of \( B \) that has been dissociated is ________.

\( 50 \, \text{mL} \) of \( 0.2 \) molal urea solution (density \( = 1.012 \, \text{g mL}^{-1} \) at \( 300 \, \text{K} \)) is mixed with \( 250 \, \text{mL} \) of a solution containing \( 0.06 \, \text{g} \) of urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in Torr) of the resulting solution at \( 300 \, \text{K} \) is ________.
[Use : Molar mass of urea \( = 60 \, \text{g mol}^{-1} \); gas constant, \( R = 62 \, \text{L Torr K}^{-1} \text{ mol}^{-1} \); Assume \( \Delta_{\text{mix}} H = 0 \), \( \Delta_{\text{mix}} V = 0 \)]