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Electrochemistry Test - 64

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Electrochemistry Test - 64
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  • Question 1
    1 / -0
    In electrolysis of NaCl when Pt electrode is taken then $${ H }_{ 2 }$$ is liberated at the cathode while with Hg cathode it forms sodium amalgam, because:
    Solution
    Sodium chloride in water dissociates as :
    $$NaCl \rightleftharpoons Na^+ + Cl^- $$
    $$H_2O \rightleftharpoons H^+ + OH^- $$
    When electric current is passed through this solution using platinum electrodes, $$Na^+$$ and $$H^+ $$ move towards cathode and  $$Cl^-$$ and $$OH^- $$ ions move towards anode. 
    If mercury is used as a cathode, $$H^+ $$ ions are not discharged at mercury cathode because mercury has high hydrogen overvoltage. $$Na^+$$ ions are discharged at the cathode in preference of $$H^+$$ ions yielding sodium, which dissolves in mercury to form sodium amalgam.
  • Question 2
    1 / -0
    How long (approximate) should water be electrolysed by passing through $$100$$ amperes current so that the oxygen released can completely burn $$27.66\ g$$ of diborane?
    [Atomic weight of $$B=10.8\ u$$]
    Solution
    $$B_2H_6 + 3O_2 \longrightarrow B_2O_3 +3H_2O $$

    27.66 gm of $$B_2H_6$$ i.e 1 mole of $$B_2H_6$$ requires 3 moles of $$O_2$$ .

    Now oxygen is produced by electrolysis of water.
    $$2H_2O \overset{4F}\longrightarrow2H_2+ O_2$$

    1 mole of $$O_2$$ is produced by 4F charge therefore 3 mole of $$O_2$$ will produced by 12F charge

    By applying ,Q= It

    $$12\times96500 =100\times t$$

    $$t = \dfrac{12\times96500}{100\times3600}$$ hours

    $$t = 3.2 $$ hours 

    Hence option C is correct option.


  • Question 3
    1 / -0
    In the electrolysis of $$AgNO_3$$ solution 0.7 g of Ag is deposited after a certain period of time. Calculate the quantity of electricity required in coulomb. Molar mass of Ag is $$107.9 g mol^{-1}$$.
    Solution
    $$Mass \ Deposited = 0.7 \ g$$
    $$n=1$$
    $$Molar \ mass = 107.9 \ gmol^{-1}$$
    $$\boxed {m= \cfrac {Atomic \ Mass}{n \times F} \times i \times t}$$
    $$0.7= \cfrac {107.9}{1 \times 96500} \times i \times t$$
    $$\cfrac {0.7 \times 96500}{107.9}= i \times t$$
    $$i \times t = 626.04 \ C$$
    The quantity of electricity required in Coulomb is $$626 \ ^oC$$
  • Question 4
    1 / -0
    Based on the cell notation for spontaneous reaction, at the anode:
    $$Ag(s)|AgCl(s)|{ Cl }^{ - }(aq)\parallel { Br }^{ - }(aq)|{ Br }_{ 2 }(I)|C(s)$$
    Solution
    $$Ag\left( s \right) \left| AgCl\left( s \right)  \right| { Cl }^{ \left( - \right)  }\left| { Br }^{ - } \right| \left| { Br }_{ 2 } \right| C\left( s \right) $$
    Anode : $$Ag+{ Cl }^{ \left( - \right)  }\rightarrow AgCl+{ e }^{ - }$$
    Cathode : $$\dfrac { 1 }{ 2 } { Br }_{ 2 }+{ e }^{ \left( - \right)  }\rightarrow { Br }^{ \left( - \right)  }$$
    $$\therefore $$ at anode, oxidation takes place.
    Hence, $$Ag$$ gets oxidized.
  • Question 5
    1 / -0
    $$10800\ C$$ of electricity through the electrolyte deposited $$2.977\ g$$ of metal with atmic mass $$106.4\ g\ mol^{-1}$$. The charge on the metal cation is:
    Solution
    $$10800 C=2.977g$$

    $$96500 C= ?$$
    Hence,  
      
     $$\dfrac { 96500\times 2.977 }{ 10800 }$$

    $$ \\ =26.600g/mol$$

    $$\\thus,\quad \dfrac { 106.4g/mol }{ 26.600g/mol }$$

    $$\\ \quad \quad \quad \quad =+4$$ is the answer.
  • Question 6
    1 / -0
    $$Al_2O_3$$ is reduced by electrolysis at low potentials and high currents. If $$4.0\times 10^4$$ amperes of current is passed through molten $$Al_2O_3$$ for $$6$$ hours, what mass of aluminium is produced? 
    (Assume $$100\%$$ current efficiency and atomic mass of $$Al$$ $$=27$$ g $$mol^{-1}$$)
    Solution
    $$n=3$$ $$ Al^{3+} +3e^- \rightarrow Al$$
    $$Molar \ mass = 27 \ gmol^{-1}$$
    $$t=6 \ hours=6 \times 60 \times 60 sec$$
    $$i=4 \times 10^4 \ A$$
    $$\boxed {m= \cfrac {Atomic \ Mass}{n \times F} \times i \times t}$$
    $$m= \cfrac {27}{3 \times 96500} \times 4 \times 10^4 \times 6 \times 60 \times 60$$
    $$=\cfrac {23328}{3 \times 965} \times 10^4$$
    $$= 8.05 \times 10^4 \ g$$
    Mass of $$Al$$ produced is $$8.05 \times 10^4 \ g$$
  • Question 7
    1 / -0
    If a $$100 \; mL$$ solution of $$0.1M$$. $$HBr$$ is titrated using a very concentrated solution of $$NaOH$$, then the conductivity (specific conductance) of this solution at the equivalence point will be:
    (assume volume change is negligible due to the addition of $$(NaOH)$$. Report your answer after multiplying it with 10 in $$Sm^{-1}$$.
    [Given: $$\lambda^{\circ}_{(Na^+)}  = 8 \times 10^{-3}  Sm^2  mol^{-1}, 
    \lambda^{\circ}_{(Br^-)}  = 4 \times 10^{-3}  Sm^2  mol^{-1}$$]
    Solution

  • Question 8
    1 / -0
    The number of coulombs necessary to deposit 1 g of potassium metal (molar mass $$39 g mol^{-1}$$) from $$K^+ ions$$ is:
    Solution
    $$Mass \ Deposited = 1 \ g$$
    $$n=1$$ $$(K^+ \ ions)$$; $$ K^+ +e^- \rightarrow K$$
    $$Molar \ mass = 39 \ gmol^{-1}$$
    $$\boxed {m= \cfrac {Atomic \ Mass}{n \times F} \times i \times t}$$
    $$1= \cfrac {39}{1 \times 96500} \times i \times t$$
    $$\cfrac {96500}{39}= i \times t$$
    $$i \times t = 2474.35 \ C$$
    The number of coulombs necessary to deposit $$1 \ g$$ of potassium metal from $$K^+$$ ions is $$2474 \ ^oC$$
  • Question 9
    1 / -0
    When $$9.65$$ ampere current was passed for $$1.0$$ hour into nitrobenzene in acidic medium, the amount of p-aminophenol produced is:
    Solution

  • Question 10
    1 / -0
    The charge required to deposit $$40.5 \,g$$ of $$Al$$ (atomic mass $$= 27.0 \,g$$) from the fused $$Al_2(SO_4)_3$$ is:
    Solution
    $$Al^{3+} + 3e^- \rightarrow Al$$
    3F 1 mol = 27.0 g
    to deposite 27 g required charge = $$3 \times 96,500 c$$
    Therefore, to deposite 40.4 g required charge 
    $$4.34 \times 10^5 C$$
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