How many electrons will flow when a current of 10 amperes is passed through a solution for 193 seconds.

Answer

To determine how many electrons flow when a current of 10 amperes is passed through a solution for 193 seconds, we can follow these steps:

### Step 1: Calculate the total charge (Q) using the formula
The total charge (Q) can be calculated using the formula:
\[ Q = I \times t \]
where:
- \( I \) is the current in amperes (A),
- \( t \) is the time in seconds (s).

### Step 2: Substitute the values into the formula
Given:
- Current \( I = 10 \, \text{A} \)
- Time \( t = 193 \, \text{s} \)

Substituting the values:
\[ Q = 10 \, \text{A} \times 193 \, \text{s} = 1930 \, \text{C} \]

### Step 3: Calculate the number of electrons
The number of electrons (n) can be calculated using the formula:
\[ n = \frac{Q}{e} \]
where:
- \( e \) is the charge of one electron, approximately \( 1.6 \times 10^{-19} \, \text{C} \).

### Step 4: Substitute the values into the formula
Substituting the values:
\[ n = \frac{1930 \, \text{C}}{1.6 \times 10^{-19} \, \text{C/electron}} \]

### Step 5: Perform the calculation
Calculating the number of electrons:
\[ n = \frac{1930}{1.6 \times 10^{-19}} \approx 1.20625 \times 10^{22} \]

### Step 6: Round the result
Rounding the result gives:
\[ n \approx 1.206 \times 10^{22} \, \text{electrons} \]

### Final Answer
Thus, the total number of electrons that flow is approximately:
\[ 1.206 \times 10^{22} \, \text{electrons} \]

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