MHT CET · Chemistry · Solutions

Which of the following solutions will not show flow of solvent "in either direction when separated by semipermeable membrane?

A 6 g urea \(\mathrm{dm}^{-3}\) and 85.5 g sucrose \(\mathrm{dm}^{-3}\)
B 15 g urea.dm \({ }^{-3}\) and 34.2 g sucrose \(\mathrm{dm}^{-3}\)
C 6 g urea \(\mathrm{dm}^{-3}\) and 34.2 g sucrose \(\mathrm{dm}^{-3}\)
D 15 g urea \(\mathrm{dm}^{-3}\) and 171 g sucrose \(\mathrm{dm}^{-3}\)

Verified Solution

Answer & Solution

Correct Answer

(C) 6 g urea \(\mathrm{dm}^{-3}\) and 34.2 g sucrose \(\mathrm{dm}^{-3}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{n}_{\text {urea }}=\frac{6}{60}=0.1 \mathrm{~mol}\) and \(\mathrm{n}_{\text {sucrose }}=\frac{34.2}{342}=0.1 \mathrm{~mol}\)
Now, \(\mathrm{n}_{\text {urea }}=\mathrm{n}_{\text {sucrose }}\)
\(\pi_{\text {urea }}=\pi_{\text {sucrose }}\)
Hence, if these solutions are separated by a semipermeable membrane, there is no flow of solvent in either direction.

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.

Same subject

Explore more questions on app

From MHT CET

Explore more questions on app