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If $0.1 M$ solution of $NaCl$ is isotonic with $1.1 w %$ urea solution, the degree of ionisation of $NaCl$ is (Molar masses of urea and $NaCl$ are $60$ and $58.5 g {mol}^{- 1}$ , respectively.)

A $2$
B $0.83$
C $1$
D $1.83$

Verified Solution

Answer & Solution

Correct Answer

(B) $0.83$

Step-by-step Solution

Detailed explanation

Isotonic solution: Two solutions having the same osmotic pressure across a semipermeable membrane is referred to as an isotonic solution. πNaCl=πUrea=nRTVi×0.1×RT=1.160×0.1×RT⇒i=1.83 Also, we know, α=i-1n-1=1.83-12-1=0.83

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 0.1 M solution of NaCl is isotonic with 1.1w% urea solution, the degree of ionisation of NaCl is (Molar masses of urea and NaCl are 60 and 58.5 g mol-1, respectively.)

Step-by-step Solution

If $0.1 M$ solution of $NaCl$ is isotonic with $1.1 w %$ urea solution, the degree of ionisation of $NaCl$ is (Molar masses of urea and $NaCl$ are $60$ and $58.5 g {mol}^{- 1}$ , respectively.)