\(298\, K\) તાપમાને પ્રક્રિયા \(A + B \rightleftharpoons C + D\) માટે સંતુલન અચળાંક \(100\) છે. જો બધા જ ચારેય ઘટકોની શરૂઆતની સાંદ્રતા \(1\,M\) હોય, તો \(D\) ની સંતુલન સાંદ્રતા (\(mol\, L^{-1}\) માં) ........... થશે.

A \(1.818\)
B \(1.182\)
C \(0.182\)
D \(0.818\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(1.818\)

Step-by-step Solution

Detailed explanation

\(A + B \rightleftharpoons C + D\) No. of moles Initialy \(1\) \(1\) \(1\) \(1\) At equillibrium \(1-a\) \(1-a\) \(1+a\) \(1+a\) \(\therefore K_{c}=\left(\frac{1+a}{1-a}\right)^{2}=100\) \(\therefore \quad \frac{1+a}{1-a}=10\) On solving \(a=0.81\)…

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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સૂચિ \(I\) ને સૂચિ \(II\) સાથે જોડો.

સૂચિ-\(I\) (ઘટકો)	સૂચિ-\(II\) (રંગ)
\((A)\) \(\mathrm{Fe}_4\left[\mathrm{Fe}(\mathrm{CN})_6\right]_3 \cdot \mathrm{xH}_2 \mathrm{O}\)	\((I)\) જાંબલી
\((B)\)\(\left[\mathrm{Fe}(\mathrm{CN})_5 \mathrm{NOS}\right]^{4-}\)	\((II)\) ઘેરો લાલ
\((C)\)\([\mathrm{Fe}(\mathrm{SCN})]^{2+}\)	\((III)\)પ્રુશિયન બ્લુ
\((D)\)\(\left(\mathrm{NH}_4\right)_3 \mathrm{PO}_4 \cdot 12 \mathrm{MoO}_3\)	\((IV)\) પીળો

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