Question

What is the number of electrons passed through an electrolyte solution when 1 ampere current is passed for 16.1 minutes?

• A. $5.022 \times 10^{24}$
• B. $3.011 \times 10^{22}$
• C. $6.022 \times 10^{21}$
• D. $2.022 \times 10^{23}$

Hint:

Always ensure time is converted to seconds when working with Amperes to get Coulombs. $1\text{ Ampere} = 1\text{ Coulomb per second}$.

Answer 1

The Correct Option is C

Step 1: Find the total charge.
$Q = I \times t$. Time is $16.1\ \text{min} = 966\ \text{s}$, so $Q = 1 \times 966 = 966\ \text{C}$.

Step 2: Convert to moles of electrons.
$$\text{moles} = \frac{966}{96500} \approx 0.01\ \text{mol}$$

Step 3: Multiply by Avogadro's number.
$$0.01 \times 6.022 \times 10^{23} = 6.022 \times 10^{21}\ \text{electrons}$$
\[ \boxed{6.022 \times 10^{21}} \]