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← JEE Advanced 2021 · Paper 1
ChemistryNumerical+2Question 28 of 57

JEE Advanced 2021 · Paper 1, Chemistry question 9

Passage

Question Stem for Question Nos. 9 and 10

The boiling point of water in a 0.1 molal silver nitrate solution (solution A\mathbf A) is x\mathbf x °C. To this solution A\mathbf A, an equal volume of 0.1 molal aqueous barium chloride solution is added to make a new solution B\mathbf B. The difference in the boiling points of water in the two solutions A\mathbf A and B\mathbf B is y×10−2\mathbf y \times 10^{-2} °C.

(Assume: Densities of the solutions A\mathbf A and B\mathbf B are the same as that of water and the soluble salts dissociate completely.

Use: Molal elevation constant (Ebullioscopic Constant), Kb=0.5K_b = 0.5 K kg mol−1^{-1}; Boiling point of pure water as 100 °C.)

The value of x\mathbf x is ____.

Answer and worked solution

Official answer: 100.1

Elevation. AgNOX3\ce{AgNO3} gives 2 ions, so i=2i=2:
ΔTb=iKbm=2×0.5×0.1=0.1 K.\Delta T_b=iK_bm=2\times0.5\times0.1=0.1\text{ K}.

Boiling point. x=100.1x=100.1 °C.