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JEE Advanced 2015Paper 1
Exam
JEE Advanced
Year
2015
Paper
Paper 1
Subject
Chemistry
Chapter
Electrochemistry

JEE Advanced 2015 · Paper 1 · Chemistry · Electrochemistry

All the energy released from the reaction X ⟶ Y, Δ _ r G ^ o = -...

All the energy released from the reaction X⟶Y,ΔrGo=−193kJmol−1X ⟶ Y, {\Delta}_{r}{G}^{o} = - 193kJmo{l}^{- 1} is used for oxidizing M+{M}^{+} as M+⟶M3++2e−,Eo=−0.25V{M}^{+} ⟶ {M}^{3 +} + 2{e}^{-}, {E}^{o} = - 0.25V
Under standard conditions, the number of moles of M+{M}^{+} oxidized when one mole of X is converted to Y is
[F=96500Cmol−1][ F = 96500Cmo{l}^{- 1} ]

Correct answer

4

Step-by-step solution

M+→M3++2e−{M}^{+} \to {M}^{3 +} + 2{e}^{-}
∆Go=−nFEo∆ {G}^{o} = - nF{E}^{o} for 1 mole of M+{M}^{+}
∆Go=−2×96500×(−0.25)J∆ {G}^{o} = - 2 \times 96500 \times \left(- 0.25\right)J
=+48250= + 48250 J/mole
=48.25KJ= 48.25KJ /mole
Energy released by conversion of 1 mole of
X→YX \to Y
∆G=−193KJ∆ G = - 193KJ
Hence mole of M+{M}^{+} convert
19348.25=4\dfrac{193}{48.25} = 4
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