The mass of 3 mole of electron is:

Options

A. 1.09×`10^(−6)Kg`
B. 1.64×`10^(−6)Kg`
C. 1.09×`10^(−7)Kg`
D. 19×`10^(−6)Kg`

Explanation

To find the mass of 3 moles of electrons, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the mass of one electron**:
The mass of one electron is given as \( 9.1 \times 10^{-31} \) kg.

2. **Calculate the number of electrons in 3 moles**:
We know that 1 mole of any substance contains Avogadro's number of particles, which is \( 6.02 \times 10^{23} \).
Therefore, the number of electrons in 3 moles is:
\[ \text{Number of electrons} = 3 \text{ moles} \times 6.02 \times 10^{23} \text{ electrons/mole} = 18.06 \times 10^{23} \text{ electrons} \]

3. **Calculate the total mass of 3 moles of electrons**:
To find the mass of 3 moles of electrons, we multiply the mass of one electron by the total number of electrons:
\[ \text{Mass of 3 moles of electrons} = \text{Number of electrons} \times \text{Mass of one electron} \]
\[ = 18.06 \times 10^{23} \text{ electrons} \times 9.1 \times 10^{-31} \text{ kg/electron} \]

4. **Perform the multiplication**:
\[ = 18.06 \times 9.1 \times 10^{23} \times 10^{-31} \text{ kg} \]
\[ = 164.546 \times 10^{-8} \text{ kg} = 1.64546 \times 10^{-6} \text{ kg} \]

5. **Round the result**:
The final mass of 3 moles of electrons can be approximated to:
\[ \approx 1.64 \times 10^{-6} \text{ kg} \]

### Final Answer:
The mass of 3 moles of electrons is approximately \( 1.64 \times 10^{-6} \) kg.

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