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Electrochemistry Test - 48

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Electrochemistry Test - 48
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  • Question 1
    1 / -0
    How many kgs of silver would be deposited at cathode if $$0.0342 dm^3$$ of oxygen measured at NTP is liberated at the anode when silver nitrate solution is electrolyzed between platinum electrodes?(Given : Atomic masses of Ag = 108, O =16)
    Solution
    $$AgNO_3\rightarrow Ag^++NO_3^-$$
    $$2H_2O\rightarrow AH^++O_2+Ae^-$$
    For 1 mole $$O_2 \Rightarrow 4F$$ change released
    At NTP
    $$1$$ mole $$O_2=22.4L$$
    $$1L=\dfrac{1}{22.4}$$ mole $$O_2$$
    $$0.0342L=\dfrac{0.0342}{22.4}=0.00153$$ mole $$O_2$$
    For $$0.00153$$ mole $$\Rightarrow 4\times 0.00153F$$
                                    $$\Rightarrow 0.00611F$$
                                    $$\Rightarrow 0.00611\times 96500$$
                                    $$\Rightarrow 589.34C$$
    $$96500C$$ or  $$1F$$ give $$\theta$$ $$\Rightarrow 1$$ mole $$Ag =108g\, Ag$$ 
    $$589.34C$$ give$$\theta$$ $$\Rightarrow \dfrac{589.34\times 108}{96500}$$
    $$\Rightarrow 0.66\ gm$$
  • Question 2
    1 / -0
    For the half reaction 
    $$B(s)$$ $$\rightarrow$$ $$B^{2+} + 2e^-$$     $${ E }_{ 1 }^{ \circ  }=-0.44V$$
    and 
    $$B^{2+}$$ $$\rightarrow$$ $$B^{3+} + e^-$$         $${ E }_{ 2 }^{ \circ  }=1.3V$$
    What is $${E}_{3}^{\circ}$$ for the reaction 
    $$3e^- + B^{+3 }$$ $$\rightarrow $$ B(s):
    Solution
        $$B\left( s \right) \rightarrow { B }^{ 2+ }+{ 2e }^{ - }\quad \quad { E }_{ 1 }^{ 0 }=-0.44V$$
    +   $$\underline { { B }^{ 2+ }\rightarrow { B }^{ 3+ }+{ e }^{ - }\quad \quad { E }_{ 2 }^{ 0 }=+1.3V } $$
    $$B\left( s \right) \rightarrow { B }^{ 3+ }+{ 3e }^{ - }\quad ;\quad { E }_{ 3 }^{ 0 }=1.3-0.44V$$
                                                         $$=0.86V$$
  • Question 3
    1 / -0
    How much electricity in terms of Faraday is required to produce 40.0 g of $$Al$$ from molten $$Al_2O_3$$?
    Solution
    Cathode: $$Al^{3+}+3e^- \rightarrow Al$$
    Anode: $$2O^{2-}+4 e^- \rightarrow O_2$$
    Overall equation: $${2Al_2O_3}_{(l)}\rightarrow 4Al_{(l)}+{3O_2}_{(g)}$$
    So $$3$$ Faraday of electricity is required to produce $$1$$ mole of $$Al$$.
    Now, $$40g$$ of $$Al=\cfrac {40}{27}$$ mole$$=1.48$$ moles of $$Al$$
    $$\therefore 1.48$$ moles of $$Al$$ can be produced by $$1.48\times 3$$ Faraday i.e $$4.44$$ Faraday of electricity.
  • Question 4
    1 / -0
    Which of the following will be most easily corroded in moist air?
    Solution
    When iron ( $$Fe$$ ) is exposed to moist air, it reacts with oxygen to form rust.

    The formation of a rust is a very complex process, which is thought to begin with the oxidation of iron to ferrous ( iron"+2") ions.

    Iron metal reacts in moist air by oxidation to give a hydrated iron oxide. This does not protect the iron surface to further reaction since it flakes off, exposing more iron metal to oxidation. This process is called rusting.
  • Question 5
    1 / -0
    When $$96500$$ coulombs of electricity are passed through barium chloride solution, the amount of barium deposited will be:
    Solution
    $${ BaSO }_{ 4 }\rightleftharpoons { Ba }^{ 2+ }+{ SO }_{ 4 }^{ 2- }$$
    $$\therefore$$ No. of electrons involved $$=n=2$$
    $$2\times 96500$$ Coulomb deposits one mole of barium
    $$\therefore 96500$$ Coilomb deposits $$0.5$$ mole of barium.
  • Question 6
    1 / -0
    When an electric current is passed through acidified water, $$112\ ml$$ of hydrogen gas at $$STP$$ collects at the cathode in $$965$$ seconds. What is the current passed, in ampere?
    Solution
    At $$STP$$, $$22.4\ litres = 1mole\ of\ H_2\ gas = 2g$$ of $$H_2$$ gas.

    $$\therefore$$   $$112\ ml\ of\ H_2\ gas\ contains\ \dfrac { 2\times 112 }{ 22.4\times { 10 }^{ 3 } } =0.01g$$ of $$H_2$$ gas

    Now, 
    $${ 2H }^{ + }+{ 2e }^{ - }\rightarrow { H }_{ 2 }$$

    According to Faraday's law,
     $$nF=1mole$$

    where, $$F=$$ Faraday's constant$$=96500\ C$$
    & $$n = number of electrons = 2$$

    $$\therefore$$ $$1$$ mole deposits $$2\times96500C$$

    $$0.01g$$ deposits $$\dfrac { 2\times 96500\times 0.01 }{ 2 } =965\ C$$

    $$\therefore$$ Current $$= \dfrac{Charge}{Time}=\dfrac{965}{965}$$
                     
                     $$= 1 Ampere $$

    Hence, option $$(A)$$ is correct.

  • Question 7
    1 / -0
    Which among the following cell cannot be regenerated?
    Solution

  • Question 8
    1 / -0
    Find the charge of $$48 g$$ of $${ Mg }^{ 2+ }$$ ions in coulombs.
    Solution
    Molar mass of $${Mg}^{+2} = 24 g$$
    Given mass of $${Mg}^{+2} = 48 g$$
    No. of moles of $${Mg}^{+2} = \cfrac{\text{Given mass}}{\text{Molar mass}} = \cfrac{48}{24} = 2 \text{ moles}$$
    1 mole of $${Mg}^{+2}$$ = 2 moles of electrons
    $$\therefore$$2 moles of $${Mg}^{+2}$$ = 4 moles of electrons
    $$\therefore$$ No. of electrons = no. of moles of electrons $$\times$$ Avogadro's constant
    $$\Rightarrow$$ No. of electrons $$= 4 \times 6.023 \times {10}^{23} = 2.4 \times {10}^{24}$$
    As we know that,
    Charge on 1 electron $$= 1.6 \times {10}^{-19} C$$
    $$\therefore$$ Total charge on 48 g $${Mg}^{+2} = \text{no. of }{e}^{-}s \times \text{charge on 1 } {e}^{-} = \left( 2.4 \times {10}^{24} \right) \times \left( 1.6 \times {10}^{-19} \right) = 3.84 \times {10}^{5} C \approx 3.86 \times {10}^{5} C$$
    Hence, the correct answer is $$3.86 \times {10}^{5} C$$.
  • Question 9
    1 / -0
    The specific conductance of $$0.1N$$ $$KCl$$ solution at $${23}^{o}C$$ is $$0.012{ohm}^{-1}{cm}^{-1}$$. The resistance of cell containing the solution at the same temperature was found to be $$55$$ ohm. The cell constant will be:
    Solution
    $$K=0.012{ r }^{ -1 }{ cm }^{ -1 }$$
    $$R=55ohm$$
    $$K=K\times G$$       where K is cell constant
    $$0.012=K\times \dfrac { 1 }{ 55 } $$
    $$K=0.012\times 55$$
    $$K=0.66{ cm }^{ -1 }$$
  • Question 10
    1 / -0
    Which metal is usefull for protection of iron by corrosion?
    Solution
    A thin layer of zinc coats other metals such as iron. It protects the iron from corrosion. Also since zinc is a more reactive metal it acts as a sacrificial metal. The oxygen in the air reacts with zinc to form zinc oxide, thus protecting the iron.
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