1.24 g of AX2 (molar mass 124 g mol–1) is dissolved in 1 kg of water to form a solution with boiling point of 100.0156°C, while 25.4 g of AY2 (molar mass 250 g mol–1) in 2 kg of water constitutes a solution with a boiling point of 100.0260°C.Kb(H2O) = 0.52 K kg mol–1Which of the following is correct ?

AX 2 and AY 2 (both) are fully ionized.

1.24 g of AX2 (molar mass 124 g mol–1) is dissolved in 1 kg of water to form a solution with boiling point of 100.0156°C, while 25.4 g of AY2 (molar mass 250 g mol–1) in 2 kg of water constitutes a solution with a boiling point of 100.0260°C.Kb(H2O) = 0.52 K kg mol–1Which of the following is correct ?

AX 2 and AY 2 (both) are fully ionized.

AX 2 and AY 2 (both) are completely unionized.

AX 2 is fully ionized while AY 2 is completely unionized.

AX 2 is completely unionized while AY 2 is fully ionized.

AX 2 and AY 2 (both) are fully ionized.

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1.24 g of AX₂(molar mass 124 g mol^–1) is dissolved in 1 kg of water to form a solution with boiling point of 100.0156°C, while 25.4 g of AY₂(molar mass 250 g mol^–1) in 2 kg of water constitutes a solution with a boiling point of 100.0260°C.
Kb(H2O) = 0.52 K kg mol^–1
Which of the following is correct ?

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AX₂ and AY₂ (both) are completely unionized.

AX₂ is fully ionized while AY₂ is completely unionized.

AX₂ is completely unionized while AY₂ is fully ionized.

AX₂ and AY₂ (both) are fully ionized.

answer is D.

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Detailed Solution

$\begin{aligned} For {AX}_{2} : - {ΔT}_{b} = K_{b} \times m \times i \\ 0.0156 = 0.52 \times \frac{0.01}{1} \times i_{{AX}_{2}} \\ \Rightarrow i_{{AX}_{2}} = 3 \Rightarrow complete ionisation \\ \begin{aligned} For A Y_{2} : - Δ T_{b} = K_{b} \times m \times i \\ 0.026 = 0.52 \times 0.0508 \times i_{{AY}_{2}} \\ \Rightarrow i_{{AY}_{2}} ≃ 1 ∴ complete unionisation \end{aligned} \end{aligned}$