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Commercial electrolytic cells for producing aluminum operate at 5.0 V and 100,000 A.(c) If electricity costs $0.123 per kW?h and cell efficiency is 90.%, what is the cost of electricity to produce exactly 1 lb of aluminum?

Respuesta :

$0.93 is the cost of electricity to produce exactly 1 lb of aluminum.

What is Electrolytic Cell ?

The device which uses electrical energy to decomposes a non-spontaneous redox reaction is called Electrochemical cell. It converts electrical energy into chemical potential energy.

It has three parts:

  1. Electrolyte
  2. Cathode
  3. Anode

How to find Actual Mass ?

Actual Mass of Al

= [tex]100\% \times \frac{\text{lb Al}}{90\%} \times \frac{0.4536\ kg}{\text{lb}}[/tex]

= 0.504 kg

The power needed to produce 1000 kg Al is 1.5 × 10⁴ kW.h.

So,

[tex]0.504\ kg \times \frac{1.5 \times 10^4\ k W.h}{1000\ kg}[/tex]

= 7.56 kW.h

The cost of electricity per kW.h is $0.123

So,

[tex]7.56\ kW.h \times \frac{\$0.123}{kW.h}[/tex]

= $0.93

Thus from the above conclusion we can say that $0.93 is the cost of electricity to produce exactly 1 lb of aluminum.

Learn more about the Cell Efficiency here: https://brainly.com/question/23432405

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