એક પ્રબળ વિધુત વિભાજ્ય માટે, મોલર વાહકતા વિરુધ (સાંદ્રતા )^\(1/2\) નો આલેખ ઋણ ઢાળ સાથે સીધી રેખા મળે છે. ઢાળ માટે સાચો એકમ _______ છે.

A \(\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-3 / 2} \mathrm{~L}^{1 / 2}\)
B \(\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-1} \mathrm{~L}^{1 / 2}\)
C \(\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-3 / 2} \mathrm{~L}\)
D \(\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-3 / 2} \mathrm{~L}^{-1 / 2}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-3 / 2} \mathrm{~L}^{1 / 2}\)

Step-by-step Solution

Detailed explanation

\(\Lambda_{\mathrm{m}}=\Lambda_{\mathrm{m}}^{\circ}-\mathrm{A} \sqrt{\mathrm{C}}\) Units of \(\mathrm{A} \sqrt{\mathrm{C}}=\mathrm{S} \mathrm{cm}^2 \mathrm{~mole}^{-1}\) Uits of \(\mathrm{A}=\mathrm{S} \mathrm{cm}^2 \mathrm{~mole}^{-3 / 2} \mathrm{~L}^{1 / 2}\)

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

LIST-I ને LIST-II સાથે મેળવો

	LIST-I (સંકિર્ણ/ સ્પીસીસ)		LIST-II (આકાર, ચુંબકીય ચાકમાત્રા)
A.	[Ni(CO)₄]	I.	ચતુષ્ફલકીય, 2.8 BM
B.	[Ni(CN)₄]^2-	II.	સમચોરસ સમતલીય, 0 BM
C.	[NiCl₄]^2-	III.	ચતુષ્ફલકીય, 0 BM
D.	[MnBr₄]^2-	IV.	ચતુષ્ફલકીય, 5.9 BM

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