We read your photo as:

Calculate the mass of aluminium deposited from an aqueous solution of aluminum sulfate when a current of 3.0 A is passed for 2 hours. (Molar mass of Al = 27 g/mol; Faraday constant F = 96500 C/mol)

Chemistry

ScanSolve AI Answer

Step-by-step solution

6 steps
  1. Convert time from hours to seconds.

    t=2 hours×3600 seconds1 hour=7200 st = 2 \text{ hours} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 7200 \text{ s}
  2. Calculate the total charge (QQ) passed using the formula Q=I×tQ = I \times t.

    Q=3.0 A×7200 s=21600 CQ = 3.0 \text{ A} \times 7200 \text{ s} = 21600 \text{ C}
  3. Write the half-reaction for the deposition of aluminium.

    Aluminium ions are Al3+Al^{3+}.

    Al3++3e−→AlAl^{3+} + 3e^- \to Al

    This reaction shows that 3 moles of electrons are required to deposit 1 mole of aluminium.

  4. Calculate the moles of electrons passed.

    One Faraday (FF) is the charge of one mole of electrons, given as 96500 C96500 \text{ C}.

    Moles of e−=QF=21600 C96500 C/mol≈0.22383 mol e−\text{Moles of } e^- = \frac{Q}{F} = \frac{21600 \text{ C}}{96500 \text{ C/mol}} \approx 0.22383 \text{ mol } e^-
  5. Calculate the moles of aluminium deposited using the stoichiometry from the half-reaction.

    Moles of Al=Moles of e−3=0.22383 mol3≈0.07461 mol Al\text{Moles of } Al = \frac{\text{Moles of } e^-}{3} = \frac{0.22383 \text{ mol}}{3} \approx 0.07461 \text{ mol } Al
  6. Calculate the mass of aluminium deposited using its molar mass (Al=27 g/molAl = 27 \text{ g/mol}).

    Mass of Al=Moles of Al×Molar mass of Al\text{Mass of } Al = \text{Moles of } Al \times \text{Molar mass of } Al Mass of Al=0.07461 mol×27 g/mol≈2.0145 g\text{Mass of } Al = 0.07461 \text{ mol} \times 27 \text{ g/mol} \approx 2.0145 \text{ g}

    The calculated mass is approximately 2.01 g2.01 \text{ g}, which is closest to 2.02 g2.02 \text{ g}.

    The final answer is D 2.02 g\boxed{\text{D } 2.02 \text{ g}}.

    1. In electrolytic purification processes, the impure metal to be purified is used as the anode. At the anode, the impure metal is oxidized to form metal ions, which then migrate to the cathode to be deposited as pure metal.

    The final answer is A anode\boxed{\text{A anode}}.

    1. One faraday is equal to the charge of one mole of electrons. Numerically, this value is approximately 96500 coulombs96500 \text{ coulombs}.

    The final answer is B 96 500 coulombs\boxed{\text{B } 96 \text{ 500 coulombs}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp