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A dilute solution of sodium chloride is electrolysed using copper electrodes. (i) State one common observation at the cathode and anode. (ii) Write an equation for the reaction at each electrode. Cathode: Anode: (iii) A steady current of 2A is passed through the electrolyte for 1 hour 15 minutes. Calculate the quantity of electricity in Coulombs. (iv) Calculate the number of faradays of electricity used. (v) What volume of the gas will be liberated at the cathode at r.t.p.?

Chemistry

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(a) (i) Neutralisation reaction.

(a) (ii)

CuO(s)+H2SO4(aq)→CuSO4(aq)+H2O(l)CuO(s) + H_2SO_4(aq) \to CuSO_4(aq) + H_2O(l)

(a) (iii)

CuO(s)+2H+(aq)→Cu2+(aq)+H2O(l)CuO(s) + 2H^+(aq) \to Cu^{2+}(aq) + H_2O(l)

(b) (i)
Cathode: Reddish-brown deposit of copper forms on the cathode.
Anode: The copper anode dissolves and becomes thinner (no gas is liberated).

(b) (ii)

Cu2+(aq)+2e−→Cu(s)Cu^{2+}(aq) + 2e^- \to Cu(s)

(c) (i) Quantity of electricity:
Formula: Q=I×tQ = I \times t
Given: I=2 AI = 2~\mathrm{A}, t=1 hour=3600 st = 1~\mathrm{hour} = 3600~\mathrm{s}

Q=2×3600=7200 CQ = 2 \times 3600 = 7200~\mathrm{C}

(c) (ii) Mass deposited on cathode:
Formula: m=M×Qn×Fm = \dfrac{M \times Q}{n \times F}
where M=63.5 g mol−1M = 63.5~\mathrm{g~mol^{-1}} (molar mass of Cu), n=2n = 2, F=96500 C mol−1F = 96500~\mathrm{C~mol^{-1}}
First, calculate number of moles of electrons:
Number of moles of e−=QF=720096500=0.0746 mole^- = \dfrac{Q}{F} = \dfrac{7200}{96500} = 0.0746~\mathrm{mol}
Moles of Cu deposited = 0.07462=0.0373 mol\dfrac{0.0746}{2} = 0.0373~\mathrm{mol} (since 2 electrons per Cu)

m=0.0373×63.5=2.37 gm = 0.0373 \times 63.5 = 2.37~\mathrm{g}

(c) (iii) No gas is liberated at the anode because the copper anode dissolves.
Volume of gas at STP = 0 cm30~\mathrm{cm^3}
0 cm³

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