Here's the solution for part (b):
b)
i) The student was surprised that no calcium was produced because in an aqueous solution of calcium chloride, there are Ca2+ ions and water molecules (H2O) present. At the cathode (negative electrode), water is preferentially reduced over calcium ions because water has a less negative (more positive) standard reduction potential (E∘(H2O)=−0.83 V) compared to calcium ions (E∘(Ca2+)=−2.87 V). Therefore, hydrogen gas is produced instead of calcium metal.
ii) The equation for the reaction that occurred at the anode if the solution was concentrated is:
2Cl−(aq)→Cl2(g)+2e−
In a concentrated chloride solution, chloride ions are preferentially oxidized over water due to their high concentration and overpotential effects, producing chlorine gas.
iii)
Step 1: Convert time to seconds.
t=1hour×60min/hour×60s/min=3600 s
Step 2: Calculate the total charge (Q) passed.
Q=I×t
Q=4A×3600 s
Q=14400 C
Step 3: Determine the number of moles of electrons (ne) transferred.
ne=FQ
ne=96500C/mole−14400C
ne≈0.14922 mol e⁻
Step 4: Use the stoichiometry from the anode reaction (2Cl−(aq)→Cl2(g)+2e−) to find moles of Cl2.
From the reaction, 2 moles of electrons produce 1 mole of Cl2.
nCl2=2ne
nCl2=2mole−/molCl20.14922mole−
nCl2≈0.07461molCl2
Step 5: Calculate the mass of Cl2 produced.
The molar mass of Cl2=2×35.5g/mol=71.0 g/mol.
mCl2=nCl2×MCl2
mCl2=0.07461mol×71.0 g/mol
mCl2≈5.297 g
The mass of the product at the anode is 5.30g.
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