High School

How many minutes will it take to electroplate 39.1 g of gold by running 5.00 A of current through a solution of Au(aq)?

Express your answer to three significant figures and include the appropriate units.

Answer :

Final answer:

The time it takes to electroplate gold by running a 5.00 A current can be calculated using Faraday's law of electrolysis. After performing the necessary calculations, the time required to complete the process will be approximately 641 minutes.

Explanation:

The time it takes to electroplate 39.1 g of gold using a 5.00 A current through a solution can be calculated using Faraday's Law of Electrolysis. The equation used is: Time = (Mass*Faraday Constant)/(Current*Atomic Weight). The atomic weight of gold (Au) is 197 g/mol and the Faraday constant is ~96485 C/mol. So, Time = (39.1g * 96485 C/mol)/(5.00 A * 197 g/mol). After doing the maths, the time required will be approximately 38448 seconds, which when converted to minutes is about 641 minutes.

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