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If the density of a $2 M$ solution of ethylene glycol in water is $1.11 g / ml,$ the molality (in $m$ ) of the solution is approximately

A $1.92$
B $1.57$
C $2.02$
D $2.15$

Verified Solution

Answer & Solution

Correct Answer

(C) $2.02$

Step-by-step Solution

Detailed explanation

Density of solution = 1.11 gml-1 Molarity of solution = 2M Density is the amount of x g of solution in 1000ml of solution. Mass of solution = density ×volume=1.11×1000=1110g Molality is equal to the number of moles of solute present in 1000 g of…

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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If the density of a 2M solution of ethylene glycol in water is 1.11g/ml, the molality (in m) of the solution is approximately

Step-by-step Solution

If the density of a $2 M$ solution of ethylene glycol in water is $1.11 g / ml,$ the molality (in $m$ ) of the solution is approximately