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15240672380's Question
Chemistry
Posted 9 months ago

In a certain electrolysis experiment involving Al3+\mathrm{Al}^{3+} ions, 54,9 g54,9 \mathrm{~g} of Al\mathrm{Al} is recovered when a current of 0.352 A0.352 \mathrm{~A} is used. How many minutes did the electrolysis last? ( 1C=1 As1 \mathrm{C}=1 \mathrm{~A}-\mathrm{s} ) Round your answer to 3 significant digits.
Note: Reference the Fundamental constants table for additional information.
minutes.
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Answer from Sia
Posted 9 months ago
Solution
1
Calculate moles of Al: First, we need to calculate the moles of aluminum (Al) that were deposited during the electrolysis. The molar mass of Al is 26.98 g/mol26.98 \mathrm{~g/mol}. Using the mass of Al recovered, we can find the moles using the formula: moles=massmolar mass\text{moles} = \frac{\text{mass}}{\text{molar mass}}
2
Determine total charge: Each mole of Al3+\mathrm{Al}^{3+} requires 3 moles of electrons to be reduced to Al metal. The charge of one mole of electrons (Faraday's constant) is approximately 96500 C/mol96500 \mathrm{~C/mol}. The total charge (Q) needed for the deposition can be calculated by multiplying the moles of Al by 3 and then by Faraday's constant
3
Calculate time: The charge (Q) can also be expressed as the product of current (I) and time (t), as per the formula Q=ItQ = I \cdot t. By rearranging the formula to solve for time, we get t=QIt = \frac{Q}{I}. Using the given current and the total charge calculated in the previous step, we can find the time in seconds
4
Convert to minutes: To find the duration in minutes, we divide the time in seconds by 60
Answer
[Insert final answer here]
Key Concept
Electrolysis time calculation
Explanation
The duration of electrolysis can be calculated by determining the total charge required for the deposition of a metal and then using the relationship between charge, current, and time.

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