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Which of the following condition is correct for reverse osmosis?
\(\left[\mathrm{C}=\right.\) Concentration of solution in \(\mathrm{mol} \mathrm{L}^{-1} ; \mathrm{T}=\) Temperature in Kelvin scale; \(\mathrm{n}=\) no of moles of solute]

A \(\mathrm{P}_{\mathrm{ext}}=\mathrm{CRT}\)
B \(\mathrm{P}_{\mathrm{ext}}>\mathrm{CRT}\)
C \(\mathrm{P}_{\mathrm{ext}} < \mathrm{CRT}\)
D \(\mathrm{P}_{\mathrm{ext}}>\mathrm{nRT}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{P}_{\mathrm{ext}}>\mathrm{CRT}\)

Step-by-step Solution

Detailed explanation

In reverse osmosis, the solvent molecules moves from high concentration solution to low concentration solution through a semipermeable membrane when the external pressure exceeds the osmotic pressure.

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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Which of the following condition is correct for reverse osmosis?\(\left[\mathrm{C}=\right.\) Concentration of solution in \(\mathrm{mol} \mathrm{L}^{-1} ; \mathrm{T}=\) Temperature in Kelvin scale; \(\mathrm{n}=\) no of moles of solute]

Step-by-step Solution

Which of the following condition is correct for reverse osmosis?
\(\left[\mathrm{C}=\right.\) Concentration of solution in \(\mathrm{mol} \mathrm{L}^{-1} ; \mathrm{T}=\) Temperature in Kelvin scale; \(\mathrm{n}=\) no of moles of solute]