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## Example Questions

### Example Question #1 : Galvanic And Electrolytic Cells

Electrolysis of an unknown metal chloride, , with a current of for seconds deposits of the metal at the cathode. What is the metal?

**Possible Answers:**

Chromium

Titanium

Scandium

Nickel

**Correct answer:**

Titanium

Start by writing out the equation that illustrates the plating out of the metal:

Note the stoichiometric ratio for the moles of electrons to the moles of the metal.

Next, recall the following equation:

, where is the charge, is the current, and is the time.

Plug in the given information to find .

Next, recall Faraday's law of electrolysis that equates Faraday's constant and the amount of electrons together to find the charge needed to deposit one mole of a particular substance.

Thus, we can set up the following to take the charge of the electrolysis through to figure out the number of moles unknown metal that was plated out.

Now, since we have the number of grams of the metal deposited, we can find the molar mass of the unknown metal.

The molar mass indicates that the metal must be titanium.

### Example Question #2 : Galvanic And Electrolytic Cells

Scandium can be plated out of a solution containing according to the following half reaction:

How many minutes would it take to plate out of scandium using a current of ?

**Possible Answers:**

**Correct answer:**

Recall the following formula:

, where is the charge in Coulombs, is the current in Amps, is the time in seconds, is the number of electrons, and is Faraday's constant.

Start by finding how many moles of scandium was plated out.

Now, use the stoichiometric ratio present in the half reaction to find the number of moles of electrons.

Now, use the above formula to solve for the time.

Now, convert the seconds to minutes. Remember that your answer should only have significant figures.

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