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Byju's Answer

Standard VII

Civics

Marie Curie

For the follo...

Question

For the following cell,
$Z n (s) | Z n S O_{4} (a q) | | C u S O_{4} (a q) | C u (s)$
when the concentration of $Z n^{2 +}$ is $10$ times the concentration of $C u^{2 +},$ the expression for $Δ G$ (in $J m o l^{- 1}$ ) is [ $F$ is
Faraday constant; $R$ is gas constant; $T$ is temperature; $E^{\circ} (cell) = 1.1 V$ ]

2.303 R T - 2.2 F

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- 2.2 F

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2.303 R T + 1.1 F

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1.1 F

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Solution

The correct option is A $2.303 R T - 2.2 F$
$Z n | Z n S O_{4} (a q) | | C u S O_{4} (a q) | C u$

$Δ G = Δ G^{\circ} + R T I n Q$

$Δ G = Δ G^{\circ} + 2.303 R T l o g Q (Q = \frac{[Z n^{+ 2}]}{[C u^{+ 2}]} = \frac{10}{1})$

$Δ G^{\circ} = - n F E_{Cell}^{\circ}$
$= - 2 F \times 1, 1$
$= - 2.2 F$
$Δ G = - 2.2 F + 2.303 R T l o g \frac{10}{1}$
$Δ G = 2.303 R T - 2.2 F$

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Similar questions

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Z n (s) | Z n S O_{4} (a q) | | C u S O_{4} (a q) | C u (s)

When the concentration of

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Q. For the following cell:

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When the concentration of

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For the following cell, Zn(s)|ZnSO4(aq)||CuSO4(aq)|Cu(s) when the concentration of Zn2+ is 10 times the concentration of Cu2+, the expression for ΔG (in J mol–1) is [F is Faraday constant; R is gas constant; T is temperature; E∘(cell)=1.1V]

The correct option is A 2.303RT–2.2FZn|ZnSO4(aq)||CuSO4(aq)|Cu ΔG=ΔG∘+RT In Q ΔG=ΔG∘+2.303RT log Q(Q=[Zn+2][Cu+2]=101) ΔG∘=−nFE∘Cell =−2F×1,1 =−2.2 F ΔG=−2.2F+2.303 RT log 101 ΔG=2.303 RT−2.2F