Calculate the current passing through a conductor (made up of Cu) if 1 mole of electrons flows through it in 1 hour.

Answer

To solve the problem of calculating the current passing through a conductor made of copper when 1 mole of electrons flows through it in 1 hour, we can follow these steps:

### Step 1: Understand the relationship between charge, current, and time
The current (I) can be defined as the total charge (Q) flowing through a conductor in a given time (t). The formula is:
\[ I = \frac{Q}{t} \]

### Step 2: Calculate the total charge (Q)
We know that 1 mole of electrons corresponds to Avogadro's number, which is approximately \( 6.022 \times 10^{23} \) electrons. Each electron has a charge of approximately \( 1.6 \times 10^{-19} \) coulombs. Therefore, the total charge (Q) can be calculated as:
\[ Q = n \times e \]
where:
- \( n = 6.022 \times 10^{23} \) (number of electrons in 1 mole)
- \( e = 1.6 \times 10^{-19} \) C (charge of one electron)

Calculating Q:
\[ Q = 6.022 \times 10^{23} \times 1.6 \times 10^{-19} \]
\[ Q = 9.6352 \times 10^{4} \text{ C} \]

### Step 3: Convert time from hours to seconds
The time given is 1 hour. We need to convert this into seconds:
\[ t = 1 \text{ hour} = 3600 \text{ seconds} \]

### Step 4: Calculate the current (I)
Now that we have both the total charge (Q) and the time (t), we can substitute these values into the current formula:
\[ I = \frac{Q}{t} \]
\[ I = \frac{9.6352 \times 10^{4} \text{ C}}{3600 \text{ s}} \]

Calculating I:
\[ I \approx 26.7 \text{ A} \]

### Final Answer
The current passing through the conductor is approximately **26.7 amperes**.

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