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← JEE Advanced 2015 · Paper 1
ChemistryInteger+4Question 27 of 60

JEE Advanced 2015 · Paper 1, Chemistry question 27

All the energy released from the reaction X→Y\mathbf X\to\mathbf Y, ΔrG∘=−193 kJ mol−1\Delta_rG^\circ=-193\ \mathrm{kJ\,mol^{-1}} is used for oxidizing MX+\ce{M+} as MX+→MX3++2 eX−\ce{M+ -> M^{3+} + 2e-}, E∘=−0.25E^\circ=-0.25 V.

Under standard conditions, the number of moles of MX+\ce{M+} oxidized when one mole of X is converted to Y is

[F=96500 C mol−1][F=96500\ \mathrm{C\,mol^{-1}}]

Answer and worked solution

Official answer: 4

Gibbs energy per M⁺ oxidised.
ΔG=−nFE=−2(96500)(−0.25)=+48.25 kJ.\Delta G=-nFE=-2(96500)(-0.25)=+48.25\text{ kJ}.

Moles. 193 kJ is available per mole of X, so
19348.25=4 mol of M+.\frac{193}{48.25}=4\text{ mol of M}^+.

Answer: 4