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Q. 43

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

A sculptor has asked you to help electroplate gold onto a brass statue. You know that the charge carriers in the ionic solution are singly charged gold ions, and you've calculated that you must deposit of gold to reach the necessary thickness. How much current do you need, in , to plate the statue in hours?

The amount of current need to plate the statue in is

See the step by step solution

Step by Step Solution

Step 1: Given Information

Amount of gold

Time

Necessary current to plate the statue in

Step 2: Explanation 

Due to the missing electron on slightly charged ions, they carry a positive charge .

The total charge passing through the solution onto the statue is, therefore:

Where

Total number of ions that pass is,

Total number of ions necessary for is

Here is the mass of one ion of gold.

Now, can be calculated by dividing the molar mass of gold with Avogadro's constant

Which yields,

Equating (equation 1) with (equation 2) we find

This finally gives the expression for the current

Molar mass of gold is ,

Step 3: Final Answer

Hence, the amount of current need to plate the statue in is

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