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Electrochemistry Test - 47

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Electrochemistry Test - 47
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  • Question 1
    1 / -0
    Which of the following metal do no evolve $${ H }_{ 2 }$$ gas from dil. acid?
    Solution
    • If the standard electrode potential of an electrode is greater than zero then its reduced form is more stable compared to hydrogen gas. 
    • Similarly, if the standard electrode potential is negative then hydrogen gas is more stable than the reduced form of the species.
    • Here the standard electrode potential is reduction potential and hence option A doesn't give $$H_2$$ gas when reacted with dilute acid.
  • Question 2
    1 / -0
    How many electrons flow when a current of 5 amperes passed through a solution for 193 seconds?
    Solution
    Current, I = 5 A
    Time, t = 193 sec
    We know that,
    = It
    Plug the values,we get
        = 5 A × 193 s
        = 965 Coulombs
    Number of electrons = total charge / charge on 1 electrons
                                         = $$\dfrac{965}{1.6 \times {10} ^ {-19}}$$
                                         = $$6.022 \times {10} ^{21}$$ electrons  
  • Question 3
    1 / -0
    If equal quantities of electricity are passed through three voltmeter containing $$FeSO_4$$, $$Fe_2(SO_4)_3$$ and $$Fe(NO_3)_2$$, then which of the following is not true?
    Solution
    (1) $$FeSO_4\rightarrow Fe^{2+}+SO_4^{2-}$$

    $$Fe^{2+}+2e^- \rightarrow Fe_{(s)}$$

    $$\therefore 2F$$ charge is needed for $$1$$ mole deposition of $$Fe$$ .

    (2) $$Fe_2(SO_4)_3\rightarrow 2Fe^3+3SO_4^{2-}$$

    $$Fe^{3+}+3e^- \rightarrow Fe_{(s)}$$

    $$3F \rightarrow 1$$ mole
    $$2F$$ charge is needed for $$\cfrac {2}{3}$$ mole deposition of $$Fe$$.

    The gas liberated in all these cases is the same and that is $$H_2$$ gas.

    Therefore, option A is correct.
  • Question 4
    1 / -0
    The passage of a constant current through a solution of dilute $$H_2SO_4$$ with 'Pt' electrode liberated $$336cm^2$$ of a mixture of $$H_2$$ and $$O_2$$ at S.T.P. The quantity of electricity that was passed is:
    Solution
    $$2H^+ + 2e \rightarrow H_2(8)$$
    $$\overset{\circleddash }{40H} \rightarrow O_2(8)+H_2O(8)+4e^-$$
    For ; $$1\ F \rightarrow H_2$$ liberated $$=\dfrac{22.4}{2}=11.2\ lit$$
    $$O_2$$ liberated $$=\dfrac{22.4}{4}=5.6\ lit$$
    $$1\ F \rightarrow $$ volt mixture $$=(11.2+5.6)\,lit$$
                                      $$=16.8\ lit$$
    $$16.8\,lit \rightarrow 1\ F$$
    $$1\, lit \rightarrow \dfrac{1}{16.8}\ F$$
    $$1000\ cc\rightarrow \dfrac{1}{16.8}\ F$$
    $$16.8 \, lit \rightarrow 1\ F$$
    $$1 \, lit \rightarrow \dfrac{1}{16.8}\ F$$
    $$1000\ cc \rightarrow \dfrac{1}{16.8}\ F$$
    $$1\ cc \rightarrow \dfrac{1}{16.8 \times 1000}\ F$$
    $$336\ cc \rightarrow \dfrac{336}{16.8 \times 1000}\ F$$
    $$=\dfrac{20}{1000}\ F$$
    $$=\dfrac{20}{1000}\times 96500\ C$$
    $$=1930\ C$$
  • Question 5
    1 / -0
    The equilibrium constant for the following reaction at $$25^o$$C is $$2.9\times 10^9$$. Calculate standard voltage of the cell. 
    $$Cl_{2(g)}+Br^-_{(aq)}\rightleftharpoons 2Cl^-_{(aq)}$$
    Solution
    $$K_{eq}= 2.9 \times 10^9$$
    At equilibrium, $$\Delta G^o=-RT lnK_{eq}$$
    $$\therefore -nFE^o=-RTlnK_{eq}$$
    $$\therefore E^o=\cfrac {RTlnK_{eq}}{nF}=\cfrac {8.314 \times 298 \times ln(2.9\times 10^9)}{2 \times 96500}$$
    $$\therefore E^o=0.28V$$
    Therefore, standard voltage of the cell is $$0.28V$$
  • Question 6
    1 / -0
    A solution of $$Ni(NO_3)_2$$ is electrolyzed between platinum electrodes using a current of 5 amperes for 20 minutes. What mass of Ni is deposited at the cathode?
    Solution
    $$Ni^{2+} + 2e^- \rightarrow Ni$$
    $$t=20 \ min=20 \times 60 \ sec$$
    $$n=2$$
    $$i=5 \ A$$
    Atomic Mass of $$Ni=58.7$$

    $$m= \cfrac {Atomic \ Mass}{n \times F} \times i \times t$$

    $$= \cfrac {58.7}{2 \times 96500} \times 20 \times 60 \times 5$$

    $$= \cfrac {352200}{2 \times 96500}=1.824$$

    The mass of $$Ni$$ deposited at the cathode is $$1.824 \ g$$
  • Question 7
    1 / -0
    Heated saw dust catches fire when a drop of concentrated nitric acid is added to it. This is due to
    Solution

  • Question 8
    1 / -0
    Passage of three faradays of charge through an aqueous solution of $$AgNO_3, CuSO_4, Al(NO_3)_3$$ and $$NaCl$$ will deposit metals at the cathode in the molar ratio of:
    Solution
    $$AgNO_3+e^- \longrightarrow Ag+NO_3^-$$
    $$1$$ mole of $$AgNO_3$$ required $$1$$ mole of $$e^-$$ or $$1$$ Faraday of electricity.
    Thus $$3F$$ is used for $$3$$ mole of $$AgNO_3$$ .
    $$CuSO_4+2e^- \longrightarrow Cu+SO_4^{2-}$$
    $$1$$ mole of $$CuSO_4$$ required $$2$$ Faraday of charge.
    Thus $$3$$ Faraday of charge will deposit $$\cfrac {3}{2}$$ mole of $$CuSO_4$$ .
    $$Al(MO_3)_3+3e^-$$ & $$Al+ 3NO^-_3$$
    $$3F$$ of charge is required for $$1$$ mole of $$Al(NO_3)_3$$ .

    $$NaCl+e^- \longrightarrow Na+Cl^{-}$$
    $$1F$$ of charge required for $$1$$ mole of $$NaCl$$ .
    Thus, $$3F$$ of charge is required for $$3$$ mole of $$NaCl$$ .
    The molar ratio will be:
         $$3: \cfrac {3}{2} :1 :3$$
    or, $$6 : 3:2:6$$ .
  • Question 9
    1 / -0
    On passing electricity through dil.$${ H }_{ 2 }{ SO }_{ 4 }$$ solution, the amount of substance liberated at the cathode and anode are in the ratio :
    Solution
    Electrolysis of dilute sulphuric acid:-
    At cathode-
    $$2{H}^{+} + 2{e}^{-} \longrightarrow {H}_{2}$$

    At anode-
    $$4{OH}^{-} + \longrightarrow 2{H}_{2}O + 2{O}_{2} + 4{e}^{-}$$

    Overall reaction-
    $${H}_{2}O \longrightarrow 2{H}_{2} + {O}_{2}$$

    $$\therefore$$ Amount of substance liberated at cathode = 2 moles of $${H}_{2} = 4g$$

    Also, amount of substance liberated at anode = 1 mole of $${O}_{2} = 32g$$

    $$\therefore$$ Ratio of the amount of substance liberated at the cathode and anode = $$4 : 32= 1 : 8$$
  • Question 10
    1 / -0
    Consider the reaction : $$Cr_2O^{2-}_{7} + 14H^+ + 6e^- \rightarrow 2Cr^{3+} + 7H_2O$$. 

    What is the quantity of electricity in coulombs needed to reduce 1 mole of $$Cr_2O^{2-}_{7}$$ ?
    Solution
    $${ Cr }_{ 2 }{ O }_{ 7 }^{ 2- }+14{ H }^{ + }+6{ e }^{ - }\rightarrow 2{ Cr }^{ 3+ }+7{ H }_{ 2 }O$$ 

    For complete reduction of $$1$$ mole of $${ Cr }_{ 2 }{ O }_{ 7 }^{ 2- },6{ e }^{ - }$$ is needed.

    Hence, Quantity of electricity $$=6\times96500=579000$$ $$C$$.

    Hence, option A is correct.
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