Consider the following liquid-vapour equilibrium. Liquid \(\rightleftharpoons \) Vapour Which of the following relations is correct ?

A \(\frac{{d\,\ln \,P}}{{d{T^2}}}\, = \,\frac{{ - \Delta {H_v}}}{{{T^2}}}\)
B \(\frac{{d\,\ln \,P}}{{d{T}}}\, = \,\frac{{ \Delta {H_v}}}{{{RT^2}}}\)
C \(\frac{{d\,\ln \,G}}{{d{T^2}}}\, = \,\frac{{ \Delta {H_v}}}{{{RT^2}}}\)
D \(\frac{{d\,\ln \,P}}{{d{T}}}\, = \,\frac{{ - \Delta {H_v}}}{{{RT}}}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{{d\,\ln \,P}}{{d{T}}}\, = \,\frac{{ \Delta {H_v}}}{{{RT^2}}}\)

Step-by-step Solution

Detailed explanation

According to Clausius Claperon equation \(P=A e^{\frac{-\Delta M}{I R T}}\)

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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Match the stages of meiosis in column I to their characteristic features in column II and select the correct option using the codes given below.

Column \(-I\)	Column \(-II\)
(A) Pachytene	(i) Pairing of homologous chromosomes
(B) Metaphase\(-I\)	(ii) Terminalisation of chiasmata
(C) Diakinesis	(iii) Crossing-over takes place
(D) Zygotene	(iv) Chromosomes align at equatorial plate

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