Question

How long would it take to reduce 1 mole of each of the following ions using the current indicated?

a) t = 96485 s
b) t = 48242 s
c) t = 24121 s
d) t = 12060 s

Answer 1

To calculate the time it takes to reduce 1 mole of each ion using the given current, you can use the equation: time (t) = total charge (q) / current (I). First, calculate the total charge by multiplying the number of moles of electrons by the charge per mole of electrons. Then, divide the total charge by the given current to find the time.

Step-by-step explanation:

To calculate the time it takes to reduce 1 mole of each ion using the given current, we can use the equation:
time (t) = total charge (q) / current (I)

First, we need to calculate the total charge. 1 mole of electrons has a charge of 96,485 C (which is 1 Faraday). We can use the equation:
total charge (q) = moles of electrons (n) x charge per mole of electrons (96,485 C/mol)

Using the given current and the formula, we can calculate the time for each ion:

(a) Al³+
total charge = 1 mol x 96,485 C/mol = 96,485 C
time = 96,485 C / 1.234 A = s

(b) Ca²+
total charge = 1 mol x 96,485 C/mol = 96,485 C
time = 96,485 C / 22.2 A = s

(c) Cr5+
total charge = 1 mol x 96,485 C/mol = 96,485 C
time = 96,485 C / 37.45 A = s

(d) Au³+
total charge = 1 mol x 96,485 C/mol = 96,485 C
time = 96,485 C / 3.57 A = s