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The E^(@) values for the changes given b...

The `E^(@)` values for the changes given below are measured againest `NHE` at `27^(@)C`.
`Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V`,
`Cu^(+) + e rarr Cu, E^(@) = + 0.50 V`,
`Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V`
The temperature coefficient of emf a cell designed as `Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu` is `-1.4 xx 10^(-4)V` per degree. For a cell reaction in equilibrium `DeltaG = 0` and `DeltaG^(@) = -2.303 RTlog_(10)K_(c)`. The heat of reaction and entropy change during the reaction are are related by `DeltaG = DeltaH - TDeltaS`.
The equilibrium constant for the disproportionation of `Cu^(+)` is:

A

`8.5 xx 10^(-5)`

B

`8.5 xx 10^(5)`

C

`8.5 xx 10^(-4)`

D

`8.5 xx 10^(6)`

Text Solution

Verified by Experts

The correct Answer is:
B

`E^(@) = (0.059)/(1)logK_(c)` or `0.35 = (0.059)/(1)logK_(c)`
`:. K_(c) = 8.5 xx 10^(5)`
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The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . The E^(@) for Cu rarr Cu^(2+) + 2e is :

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . The equilibrium constant for the reaction: Zn+Cu^(2+) hArr Zn^(2+)+Cu is:

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . The E^(@) of Zn|Zn^(2+)||Cu^(2+)|Cu cell is :

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . The E^(@) for the reaction : 2Cu^(+) rarr Cu^(2+) + Cu is:

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . The heat of reaction for the change Zn+underset(0.1 M)(Cu^(2+)) hArr underset(1M)(Zn^(2+))+Cu at 27^(@)C is :

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . Change in entropy for the reaction : Zn+underset(0.1 M)(Cu^(2+)) hArrunderset(1M)(Zn^(2+))+Cu at 27^(@)C is :

The E^(@) values for the changes given below are measured againest NHE at 27^(@)C . Cu^(2+) + e rarr Cu^(+), E^(@) = + 0.15 V , Cu^(+) + e rarr Cu, E^(@) = + 0.50 V , Zn^(2+) + 2e rarr Zn, E^(@) = - 0.76 V The temperature coefficient of emf a cell designed as Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu is -1.4 xx 10^(-4)V per degree. For a cell reaction in equilibrium DeltaG = 0 and DeltaG^(@) = -2.303 RTlog_(10)K_(c) . The heat of reaction and entropy change during the reaction are are related by DeltaG = DeltaH - TDeltaS . If 9.65 ampere current is passed through making Cu anode Zn cathode for 1000 sec in the cell Zn"|"underset(1 M)(Zn^(2+))"||"underset(0.1 M)(Cu^(2+))"|"Cu , the e.m.f. of cell after after passage of current would be :

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Civen E^@ for Cu^(2+) rarr Cu^+ is + 0.15 V and Cu^+ rarr Cu is +0.05 V Calculate E^@ for Cu^(2+) rarr Cu .

Given: (i) Cu^(2+)+2e^(-) rarr Cu, E^(@) = 0.337 V (ii) Cu^(2+)+e^(-) rarr Cu^(+), E^(@) = 0.153 V Electrode potential, E^(@) for the reaction, Cu^(+)+e^(-) rarr Cu , will be

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