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 Multiple Choice QuestionsShort Answer Type

171. Conductivity of 0.00241 M acetic acid is 7.896 x 10–5 S cm–1. Calculate its molar conductivity, if Λ° for acetic acid is 390.5 S cm2 mol–1, what is its dissociation constant?
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172. Write the Nernst equation and calculate the emf of the following cell at 298 K : Cu(s) | Cu2+ (0.130 M) || Ag+ (1.00 x 10–4 M) | Ag(s)
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 Multiple Choice QuestionsLong Answer Type

173. (a) Calculate the electrode potential of silver electrode dipped in 0.1 M solution of silver nitrate at 298 K assumimg AgNO3 to be completely dissociated. The standard electrode potential of Ag+/Ag is 0.80 V at 298 K.
(b) At what concentration of silver ions will this electrode have a potential of 8.0 V?
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 Multiple Choice QuestionsShort Answer Type

174. The standard reduction potential for the Zn2+ (aq) | Zn(s) half cell is 0.76 V. Write the reactions occurring at the electrodes when coupled with standard hydrogen electrode (SHE).
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175.

Can a nickel spatula be used to stir the solution of CuSO4? Support your answer with reason. (E°Ni2+/Ni = – 0.25 V, E°Cu2+/Cu = + 0.34 V)

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 Multiple Choice QuestionsLong Answer Type

176.

Calculate the e.m.f. of the cell in which the reaction is
Mg(s) + 2Ag+(aq)  Mg2+(aq) + 2Ag(s)When    Mg2+ = 0.130 Mand           Ag+ = 1.0 × 10-4M.    [Given EMg2+/Mg = -2.37 V and E°Ag+/Ag = 0.80 V]

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177. Calculate the cell e.m.f. at 25° C for the following cell:
Mg(s) | Mg2+ (0.01 M) || Sn2+ (0.1 M) | Sn (s)
[Given E°Mg2+/Mg = – 2.34 V, E°Sn2+/Sn = – 0.136V, 1 F = 96,500 C mol–1]
Calculate the maximum work that can be accomplished by the operation of this cell.
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178.

Calculate the cell emf at 25° C for the following cell:
Ni(s) | Ni2+ (0.01 M) || Cu2+ (0.1 M) | Cu(s)
[Given E°Ni2+/Ni = – 0 25 V, E° Cu = + 0.34 V, 1 F = 96500]
Calculate the maximum work that can be accomplished by operation of this cell.

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179.

The emf of a cell corresponding to the reaction
Zn(s) + 2H+ (aq) → Zn2+ (0.1 M) + H2(g) (1 atm) is 0.28 V at 15° C.Write the half cell reactions and calculate the pH of the solution at the hydrogen electrode.

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180. Using the standard electrode potentials given in the table 3.1(in NCERT), predict if the reaction between the following is feasible:
(i) Fe3+ (aq) and I (aq)
(ii) Ag+ (aq) and Cu(s)
(iii) Fe3+ (aq) and Br(aq)
(iv) Ag(s) and Fe3+(aq)
(v) Br2(aq) and Fe2+(aq)


From the table, standard electrode potents at 298 k are:
(E°Fe3+/VF = 0.77 V, E°I2/I– = 0.54 V)
(E°Ag+/Ag = E°Cu2+/Cu = 0.34)
(E°Fe3+/Fe= 0.77 V, E°Br2/Br- = 1.08 V)
(E°Ag+/Ag= 0.8 V E°Fe3+/Fe2+ = 0.77 V)
(E°Fe3+/Fe2+= 0.77 V,E°Br2/Br- = 1.08 V)
(a) 
From the table, standard electrode potents at 298 k are:(E°Fe3+/VF Fe to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space straight I to the power of minus left parenthesis aq right parenthesis space rightwards arrow space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis plus 1 half straight I subscript 2 left parenthesis straight g right parenthesis
In this reaction, Fe3+ is reduced to Fe2+ and I is oxidised to I2. The cell giving above reaction will be
straight I subscript 2 left parenthesis straight s right parenthesis space vertical line space straight I to the power of minus space left parenthesis aq right parenthesis space vertical line vertical line space Fe to the power of 3 plus end exponent space left parenthesis aq right parenthesis space vertical line space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis
therefore space straight E to the power of 0 subscript cell space equals space straight E to the power of 0 subscript cathode space minus space straight E to the power of 0 subscript anode space equals space straight E to the power of 0 subscript right space minus space straight E to the power of 0 subscript left
space space space space space space space space space space space space space space space equals space 0.77 space straight V space minus space 0.54 space straight V space equals space plus space 0.23 space straight V
As E0 is positive, the reaction between Fe3+ (aq) and I (aq) occurs as indicated by possible reaction given above.

(b) 2 space Ag to the power of plus left parenthesis aq right parenthesis space plus space Cu left parenthesis straight s right parenthesis space rightwards arrow space 2 space Ag left parenthesis straight s right parenthesis space plus space Cu to the power of 2 plus end exponent space left parenthesis aq right parenthesis
Here, in this reaction, Ag+ is reduced to Ag (i.e., it should be cathode) and Cu(s) is oxidised to Cu2+(aq) (i.e., it should be anode).
The cell can be represented as
           Cu left parenthesis straight s right parenthesis space vertical line space Cu to the power of 2 plus end exponent left parenthesis aq right parenthesis vertical line vertical line space Ag to the power of plus space left parenthesis aq right parenthesis space vertical line space Ag left parenthesis straight s right parenthesis
space space space space space space space space space space space space space space space space space space space space space space anode space space space space space space space space space space space space space space cathode
straight E to the power of 0 subscript cell space space equals space straight E to the power of 0 subscript cathode space minus space straight E to the power of 0 subscript anode
space space space space space space space space space space space space equals space 0.80 space straight V space minus space 0.34 space straight V space equals space plus space 0.46 space straight V
As E°cell is positive, the reaction between (Ag(aq) and Cu(s) occurs as indicated by possible reaction given above.

(c) Fe to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space Br to the power of minus left parenthesis aq right parenthesis space rightwards arrow space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis space plus space 1 half Br subscript 2 left parenthesis aq right parenthesis
 In this reaction Fe3+ is reduced to Fe2+ (i.e., Fe3/Fe2+ electrode should be cathode) and Br is oxidised to Br2 (i.e., Br2/Br electrode should be anode.
The cell can be represented as:
Br subscript 2 left parenthesis aq right parenthesis vertical line Br to the power of minus left parenthesis aq right parenthesis vertical line vertical line Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis space vertical line space Fe to the power of 3 plus end exponent left parenthesis aq right parenthesis
straight E to the power of 0 subscript cell space equals space straight E to the power of 0 subscript cathode space minus space straight E to the power of 0 subscript anode space equals space straight E to the power of 0 subscript right space end subscript minus straight E to the power of 0 subscript left
space space space space space space space space space space space equals space 0.77 space straight V space minus space 1.08 space straight V space equals space minus 0.31 space straight V
As E°cell is negative, no reaction will occur between Fe3+ (aq) and Br(aq).
(d) Ag left parenthesis straight s right parenthesis space plus space Fe to the power of 3 plus end exponent space left parenthesis aq right parenthesis space rightwards arrow space Ag to the power of plus left parenthesis aq right parenthesis space plus space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis     
Two half-cell reactions can be expressed as:
Ag left parenthesis straight s right parenthesis space rightwards arrow space Ag to the power of plus left parenthesis aq right parenthesis space plus space straight e to the power of minus
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis oxidation space anode right parenthesis
Fe to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space straight e to the power of minus space rightwards arrow space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis reduction comma space cathode right parenthesis
straight E to the power of 0 subscript cell space equals space straight E to the power of 0 subscript cathode space minus space straight E to the power of 0 subscript anode
space space space space space space space space space space space equals space 0.77 space straight V space minus space 0.80 space straight V space equals space minus 0.3 space straight V
As E°cell is negative, no reaction occurs between Fe3+(aq) and Ag(s).

(e) 1 half Br subscript 2 left parenthesis aq right parenthesis space plus space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis space rightwards arrow space Fe to the power of 3 plus end exponent space left parenthesis aq right parenthesis space plus space Br to the power of minus space left parenthesis aq right parenthesis
The two half-cell reactions are
   1 half Br subscript 2 left parenthesis aq right parenthesis space plus space straight e to the power of minus space rightwards arrow space Br to the power of minus space left parenthesis aq right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis reduction comma space cathode right parenthesis
space space space space space space Fe to the power of 2 plus end exponent left parenthesis aq right parenthesis space rightwards arrow space Fe to the power of 3 plus end exponent left parenthesis aq right parenthesis space plus space straight e to the power of minus
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis oxidation space anode right parenthesis
straight E to the power of 0 subscript cell space equals space straight E to the power of 0 subscript cathode space minus space straight E to the power of 0 subscript anode
space space space space space space space space space space space equals space 1.80 space straight V space minus space 0.77 space straight V space equals space plus 0.31 space straight V
As E°cell is positive, the reaction is feasible, i.e., reaction between Br2(aq) and Fe2+ (aq) occurs as indicated by possible reaction given above.

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