The mass of 2 mole of electron is:

Options

A. 1.09×`10^(−6)Kg`
B. 54.8×`10^(−6)Kg`
C. 10.9×`10^(−6)Kg`
D. 19×`10^(−7)Kg`

Answer

To find the mass of 2 moles of electrons, we can follow these steps:

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

### Step 2: Calculate the number of electrons in 2 moles
We know that 1 mole of any substance contains Avogadro's number of particles, which is approximately:
\[ N_A = 6.02 \times 10^{23} \]
Therefore, the number of electrons in 2 moles is:
\[ N = 2 \times N_A = 2 \times 6.02 \times 10^{23} = 1.204 \times 10^{24} \text{ electrons} \]

### Step 3: Calculate the total mass of 2 moles of electrons
To find the total mass of 2 moles of electrons, we multiply the number of electrons by the mass of a single electron:
\[ \text{Total mass} = N \times m_e \]
Substituting the values we have:
\[ \text{Total mass} = (1.204 \times 10^{24}) \times (9.1 \times 10^{-31}) \]

### Step 4: Perform the multiplication
Now we calculate:
\[ \text{Total mass} = 1.204 \times 9.1 \times 10^{24 - 31} \]
\[ \text{Total mass} = 10.9644 \times 10^{-7} \]
\[ \text{Total mass} = 1.09644 \times 10^{-6} \text{ kg} \]

### Step 5: Round the result
Rounding this to two decimal places gives us:
\[ \text{Total mass} \approx 1.09 \times 10^{-6} \text{ kg} \]

### Final Answer
Thus, the mass of 2 moles of electrons is:
\[ \text{Mass} = 1.09 \times 10^{-6} \text{ kg} \]