Answer :
The mass of aluminum that plated onto an object in 755 minutes at 5.80 A of current is 24.50 g (option B)
How do I determine the mass of aluminum?
Step 1: Determine the charge required for the reaction. This is shown below:
- Time (t) = 755 mins = 755 × 60 = 45300 s
- Current (I) = 5.80 A
- Charge (Q) = ?
Q = It
= 5.8 × 45300
= 262740 C
Step 2: Determine the mass of aluminum that can be plated onto the object at the given time. Details below:
Balanced equation
Al³⁺ + 3e —> Al
- Molar mass of Al = 27 g/mol
- Mass of Al from the balanced equation = 1 × 27 = 27 g
- Number of faraday = 3
- 1 faraday = 96500 C
- 3 faraday = 3 × 96500 = 289500 C
From the balanced equation above,
289500 C is required to plate 27 g of Al
Therefore,
262740 C will plate = (262740 × 27) / 289500 = 24.50 g of Al
Thus, the mass of aluminum plated onto the object is 24.50 g. The correct answer to the question is option B
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