Final answer:
About 1.119 moles of electrons have moved through an electrolysis cell when a current of 15 A is run through it for 2.0 hours.
Step-by-step explanation:
To calculate the number of moles of electrons that moved through an electrolysis cell when a current of 15 A is run through it for 2.0 hours, we need to use the formula for total charge (q) transferred, which is the product of current (I) and time (t) in seconds. One mole of electrons (also known as one faraday) carries a charge of 96,485 coulombs (C). Since time needs to be in seconds for the calculation, we must convert 2.0 hours to seconds by multiplying by 3600 seconds per hour.
Firstly, we calculate the total charge q:
q = I × t
q = 15 A × (2.0 hours × 3600 seconds/hour)
q = 15 A × 7200 seconds
q = 108,000 C
Then, we find the number of moles of electrons by dividing the total charge by the charge of one mole of electrons:
Moles of electrons = q / (charge of one mole of electrons)
Moles of electrons = 108,000 C / 96,485 C/mol
Moles of electrons ≈ 1.119 mol
So, approximately 1.119 moles of electrons have moved through the electrolysis cell in the given time.