નીચે બે પ્રક્રિયાઓ આપેલ છે. \(2 \mathrm{Fe}_{(\mathrm{s})}+\frac{3}{2} \mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{Fe}_2 \mathrm{O}_{3(\mathrm{~s})}, \Delta \mathrm{H}^{\mathrm{o}}=-822 \mathrm{~kJ} / \mathrm{mol}\) \(\mathrm{C}_{(\mathrm{s})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{CO}_{(\mathrm{g})}, \Delta \mathrm{H}^{\mathrm{o}}=-110 \mathrm{~kJ} / \mathrm{mol}\) \(3\mathrm{C}_{(\mathrm{s})}+\mathrm{Fe}_2 \mathrm{O}_{3(\mathrm{~s})} \rightarrow 2 \mathrm{Fe}_{(\mathrm{s})}+3 \mathrm{CO}_{(\mathrm{g})}\) આપેલા પ્રક્રિયા માટે એન્થાલ્પી ફેરફાર _______ \(J/mol\) છે.

A \(470\)
B \(495\)
C \(492\)
D \(499\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(492\)

Step-by-step Solution

Detailed explanation

\(2\mathrm{Fe}_{(\mathrm{s})}+\frac{3}{2} \mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{Fe}_2 \mathrm{O}_{3(\mathrm{~s})}, \Delta \mathrm{H}^{\mathrm{o}}=-822 \mathrm{~kJ} / \mathrm{mol}\) \(......(1)\)…

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.

Same subject

સૂચિ - \(I\) સાથે સૂચિ - \(II\) ને જોડો.

સૂચિ - \(I\)	સૂચિ - \(II\)
\((A)\) \(Cd ( s )+2 Ni ( OH )_{3}( s ) \rightarrow CdO ( s )+2 Ni ( OH )_{2}( s )+ H _{2} O (l)\)	\((I)\) પ્રાથમિક બેટરી
\((B)\) \(Zn ( Hg )+ HgO ( s ) \rightarrow ZnO ( s )+ Hg (l)\)	\((II)\) દ્વિતિયક બેટરી (કોષ) નું ડિસચાર્જિંગ
\((C)\) \(2 PbSO _{4}( s )+2 H _{2} O (l) \rightarrow Pb ( s )+ PbO _{2}( s )+ 2 H _{2} SO _{4}( aq )\)	\((III)\) બળતણા (ઈંઘણ) કોષ
\((D)\) \(2 H _{2}( g )+ O _{2}( g ) \quad \rightarrow 2 H _{2} O (l)\)	\((IV)\) દ્વિતિયક બેટરીનું ચાર્જિંગ

JEE Mains 2022 Medium

સૂચિ \(-I\) ને સૂચિ \(-II\) સાથે જોડો.

સૂચિ \(-I\) (\(Si-\)સંયોજનો)	સૂચિ \(-II\) (\(Si-\)પોલિમેરીક/અન્ય ઉત્પાદનો)
\((A)\) \(\left( CH _{3}\right)_{4} Si\)	\((I)\) શ્રુંખલા સિલિકોન
\((B)\) \(\left( CH _{3}\right) Si ( OH )_{3}\)	\((II)\) ડાયમરિક સિલિકોન
\((C)\) \(\left( CH _{3}\right)_{2} Si ( OH )_{2}\)	\((III)\) સિલેન
\((D)\) \(\left( CH _{3}\right)_{3} Si ( OH )\)	\((IV)\) \(2D-\) સિલિકોન

નીચે આપેલ વિકલ્પમાંથી યોગ્ય ઉત્તર પસંદ કરો.

JEE Mains 2022 Medium

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