CUET · CHEMISTRY · PYQ PAPER 2023

Identify the correct relation between the molar mass of solute and Ebullioscopic constant.

A \(M_2 = \frac{1000 \times \omega_2 \times \omega_1}{\Delta T_b \times K_b}\)
B \(\Delta T_b = \frac{1000 \times \omega_2 \times K_b \times M_2}{\omega_1}\)
C \(M_2 = \frac{1000 \times \omega_2 \times K_b}{\Delta T_b \times \omega_1}\)
D \(M_2 = \frac{1000 \times \omega_1 \times K_b}{\Delta T_b \times \omega_2}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(M_2 = \frac{1000 \times \omega_2 \times K_b}{\Delta T_b \times \omega_1}\)

Step-by-step Solution

Detailed explanation

\(\Delta T_b = K_b \times m\) \(m = \frac{\omega_2/M_2}{\omega_1/1000}\) \(\Delta T_b = K_b \times \frac{1000 \times \omega_2}{M_2 \times \omega_1}\) \(M_2 = \frac{1000 \times \omega_2 \times K_b}{\Delta T_b \times \omega_1}\)

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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List - I (Codes)	List - II (Codes for)
(A) UUU	(I) Phenyalanine
(B) AUG	(II) Initiator codon
(C) UAA	(III) Terminator codon
(D) GUU	(IV) Valine