The mass of 1 mole of electron is:

Options

A. 54.8×`10^(−7)Kg`
B. 5.48×`10^(−7)Kg`
C. 54.8×`10^(−7)g`
D. 5.48×`10^(−7)g`

Explanation

To find the mass of one mole of electrons, we can follow these steps:

### Step 1: Determine the mass of a single electron
The mass of one electron is given as:
\[ m_e = 9.1 \times 10^{-31} \text{ kg} \]

### Step 2: Identify Avogadro's number
Avogadro's number, which is the number of particles (in this case, electrons) in one mole, is:
\[ N_A = 6.02 \times 10^{23} \]

### Step 3: Calculate the mass of one mole of electrons
To find the mass of one mole of electrons, we multiply the mass of a single electron by Avogadro's number:
\[ \text{Mass of 1 mole of electrons} = m_e \times N_A \]
Substituting the values:
\[ \text{Mass of 1 mole of electrons} = (9.1 \times 10^{-31} \text{ kg}) \times (6.02 \times 10^{23}) \]

### Step 4: Perform the multiplication
Now, we can calculate:
\[ \text{Mass of 1 mole of electrons} = 9.1 \times 6.02 \times 10^{-31 + 23} \]
Calculating \( 9.1 \times 6.02 \):
\[ 9.1 \times 6.02 \approx 54.862 \]
So, we have:
\[ \text{Mass of 1 mole of electrons} \approx 54.862 \times 10^{-8} \text{ kg} \]
This can be simplified to:
\[ \text{Mass of 1 mole of electrons} \approx 5.4862 \times 10^{-7} \text{ kg} \]

### Step 5: Final result
Thus, the mass of one mole of electrons is approximately:
\[ \text{Mass of 1 mole of electrons} \approx 5.48 \times 10^{-7} \text{ kg} \]