MHT CET · Chemistry · Some Basic Concepts of Chemistry

\(3.42 \times 10^{-2} \mathrm{~kg}\) Sugar (molar mass 342 ) is dissolved in water to produce \(234.2 \mathrm{~g}\) of sugar syrup, what is the molality of sugar syrup?

A \(0 \cdot 50 \mathrm{~mol} \mathrm{~kg}^{-1}\)
B \(0 \cdot 76 \mathrm{~mol} \mathrm{~kg}^{-1}\)
C \(0.67 \mathrm{~mol} \mathrm{~kg}^{-1}\)
D \(0 \cdot 85 \mathrm{~mol} \mathrm{~kg}^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(0 \cdot 50 \mathrm{~mol} \mathrm{~kg}^{-1}\)

Step-by-step Solution

Detailed explanation

Weight of water in sugar syrup \(=234.2-34.2=200 \mathrm{gm}\)
Molecular weight of sugar \(=342\)
Molal concentration \(=\frac{34.2}{342} \times \frac{1000}{200}\)
Molal concentrtion \(=0.5\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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