Home > categories > Minerals & Metallurgy > Aluminum Foils > How do i determine the cost of making a 16g aluminum cam from scratch based on the following equations?
Question:

How do i determine the cost of making a 16g aluminum cam from scratch based on the following equations?

Domestic electricity costs about 8.75 cents/kwhOne mole of electrons 96,500 coulombs1 kwh 3.6010^6 coulombsAl (0) -gt; Al (+3) +3 electronsI am super confused and have no idea where to start so please also explain how you got your answer so I can learn for other questions like those that may be on the exam- thanks in advance :)

Answer:

I believe the question is based on electrolysis of Aluminium to obtain pure aluminium to make a can which weighs 16gHence, we must first find the amount of aluminium that is required to make the canAmount of Al needed 16/27 0.592592592 molSince you know that 1.0 mole of Al will release 3 electrons as it turns into an ion, it means that to purify 1.0 mole of Al, the battery will have to move 3 electrons from the anode to the cathode Hence, noof electrons which will be needed to be 'moved' 0.592592592 x 3 1.77777778 Now, we can find the amount of charge by multiplying the amount of electrons with faraday's constant (ie96500) Charge 1.77777778 x 96500 171555.5555 C Now we convert the kWh to Joules8.75 cents / kWh 2.43 x 10^(-6) cents/ J Next we convert the Charge to joulesSince a household is usually provided with a voltage of 240V, Number of joules 240 x 171555.5555 41173333.32 J Hence, we can find the costCost 41173333.32 x 2.43 x 10^(-6) 100.0512 cents $ 1.00 I'm not very sure about the voltage of the householdIt may be different for different countries and suchHope this is still useful :D
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