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Describe the process of electrolysis of dilute sulphuric acid and determine the formula of metal oxide.
Chemistry
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Answer
d
XO
Step-by-step solution
5 stepsHere are the solutions to question 6:
- a)
- Electrode A is connected to the positive terminal of the battery, so it is the anode.
- Electrode B is connected to the negative terminal of the battery, so it is the cathode.
Part b
At electrode B (cathode), reduction occurs. In dilute sulphuric acid, hydrogen ions () are reduced to hydrogen gas.
$$
2H^+(aq) + 2e^- \to H_2(g)
$$
Part c
The concentration of dilute sulphuric acid *increases
During the electrolysis of dilute sulphuric acid, water ($H_2O$) is decomposed into hydrogen gas ($H_2$) at the cathode and oxygen gas ($O_2$) at the anode. The sulphuric acid ($H_2SO_4$) acts as an electrolyte and is not consumed in the overall reaction. As water is removed from the solution, the amount of solvent decreases, leading to an increase in the concentration of the remaining sulphuric acid.
Part dXO
To determine the formula of the metal oxide
Calculate the total charge () passed.
$$ Q = I \times t $$ $$ Q = 4 \text{ A} \times (10 \times 60) \text{ s} $$ $$ Q = 4 \text{ A} \times 600 \text{ s} $$ $$ Q = 2400 \text{ C} $$Calculate the moles of metal X deposited.
$$ \text{Moles of X} = \frac{\text{Mass of X}}{\text{Relative atomic mass of X}} $$ $$ \text{Moles of X} = \frac{1.78 \text{ g}}{118 \text{ g/mol}} $$ $$ \text{Moles of X} \approx 0.01508 \text{ mol} $$Calculate the moles of electrons passed.
Using Faraday's constant ($F = 96485 \text{ C/mol}$): $$ \text{Moles of electrons} = \frac{Q}{F} $$ $$ \text{Moles of electrons} = \frac{2400 \text{ C}}{96485 \text{ C/mol}} $$ $$ \text{Moles of electrons} \approx 0.02487 \text{ mol} $$Determine the charge () on the metal ion.
The deposition reaction is $X^{z+}(aq) + z e^- \to X(s)$. $$ z = \frac{\text{Moles of electrons}}{\text{Moles of X}} $$ $$ z = \frac{0.02487 \text{ mol}}{0.01508 \text{ mol}} $$ $$ z \approx 1.65 $$ Since the charge must be an integer, this value is approximately 2 (due to rounding or slight experimental variation). Therefore, the charge on the metal ion is $X^{2+}$.Determine the formula of the metal oxide.
If the metal ion is $X^{2+}$ and the oxide ion is $O^{2-}$, the formula of the metal oxide is $XO$. $$ \text{Formula of the metal oxide} = \boxed{XO} $$
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