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During the electrolysis of Acidified water, a current of 0.3A was passed for 10 minutes. Calculate the volume of gas produced at the Anode. (Molar gas volume = 24dm03, 1Faraday = 96500c)

Chemistry

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0.034 dm30.034 \text{ dm}^3

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Haya hapa majibu kwa swali lako:

During the electrolysis of Acidified water, a current of 0.3A was passed for 30 minutes. Calculate the volume of gas produced at the Anode. (Molar gas volume = 24dm³, 1Faraday = 96500C)

  1. Tambua gesi inayozalishwa kwenye anodi na uandike mlinganyo wa nusu-mmenyuko.

    Katika elektrolisisi ya maji yenye asidi, gesi inayozalishwa kwenye anodi ni Oksijeni (O2\text{O}_2).
    Mlinganyo wa nusu-mmenyuko kwenye anodi ni:

    2H2O(l)⟶O2(g)+4H+(aq)+4e−2\text{H}_2\text{O}(\text{l}) \longrightarrow \text{O}_2(\text{g}) + 4\text{H}^+(\text{aq}) + 4\text{e}^-

    Kutoka kwenye mlinganyo, moli 4 za elektroni huzalisha moli 1 ya O2\text{O}_2.

  2. Badilisha muda kuwa sekunde.

    t=30 min×60 s/min=1800 st = 30 \text{ min} \times 60 \text{ s/min} = 1800 \text{ s}
  3. Hesabu jumla ya chaji (Q) iliyopita.

    Q=I×t=0.3 A×1800 s=540 CQ = I \times t = 0.3 \text{ A} \times 1800 \text{ s} = 540 \text{ C}
  4. Hesabu moli za elektroni zilizopita.

    Moli za elektroni=QF=540 C96500 C/mol≈0.00559585 mol\text{Moli za elektroni} = \frac{Q}{F} = \frac{540 \text{ C}}{96500 \text{ C/mol}} \approx 0.00559585 \text{ mol}
  5. Hesabu moli za gesi ya Oksijeni (O2\text{O}_2) zilizozalishwa.

    Kutoka Step 1, moli 4 za elektroni huzalisha moli 1 ya O2\text{O}_2.

    Moli za O2=Moli za elektroni4=0.00559585 mol4≈0.00139896 mol\text{Moli za O}_2 = \frac{\text{Moli za elektroni}}{4} = \frac{0.00559585 \text{ mol}}{4} \approx 0.00139896 \text{ mol}
  6. Hesabu ujazo wa gesi ya Oksijeni (O2\text{O}_2) kwa r.t.p.

    Ujazo wa O2=Moli za O2×Ujazo wa moli kwa r.t.p\text{Ujazo wa O}_2 = \text{Moli za O}_2 \times \text{Ujazo wa moli kwa r.t.p} Ujazo wa O2=0.00139896 mol×24 dm3/mol≈0.033575 dm3\text{Ujazo wa O}_2 = 0.00139896 \text{ mol} \times 24 \text{ dm}^3/\text{mol} \approx 0.033575 \text{ dm}^3

    Kuzungusha hadi sehemu tatu za desimali:

    0.034 dm30.034 \text{ dm}^3
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