JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
For the reaction \(2 Fe ^{3+}( aq )+2 I ^{-}( aq ) \rightarrow 2 Fe ^{2+}( aq )+ I _{2}( s )\) the magnitude of the standard molar free energy change, \(\Delta_{ r } G _{ m }^{\circ}=-\) ........... \(kJ\) (Round off to the Nearest Integer). \(\left[\begin{array}{l} E _{ Fe ^{2+} / Fe ( s )}^{ o }=-0.440 V ; E _{ Fe ^{3+} / Fe ( s )}^{\circ}=-0.036 V \\ E _{ I _{2} / 2 I ^{-}}^{ o }=0.539 V ; \quad F =96500\, C \end{array}\right]\)
- A \(49\)
- B \(36\)
- C \(55\)
- D \(46\)
Answer & Solution
Correct Answer
(D) \(46\)
Step-by-step Solution
Detailed explanation
\(E _{1}^{0}+2 E _{2}^{0}=3 E _{3}^{0}\) \(E _{1}^{0}=3 E _{3}^{0}-2 E _{2}^{0}\) \(=3(-0.036)-2(-0.44)\) \(=+0.772 V\) \(E _{\text {cell }}^{0}= E _{ Fe ^{3+} / Fe ^{2+}}^{0}+ E _{ I / I _{2}}^{0}=0.233\) \(\Delta_{ r } G ^{0}=-2 \times 96.5 \times 0.233=-45 kJ\)
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