The rest mass of an electron is `9.11xx10^(-31)` kg. Molar mass of the electron is

Options

A. `1.5xx10^(-31) kg mol^(-1)`
B. `9.11xx10^(-31) kg mol^(-1)`
C. `5.5xx10^(-7) kg mol^(-1)`
D. `6.02xx10^(23) kg mol^(-1)`

Explanation

To find the molar mass of an electron, we can follow these steps:

### Step 1: Understand the concept of molar mass
Molar mass is defined as the mass of one mole of a substance, measured in grams per mole (g/mol). For electrons, we need to calculate the mass of one mole of electrons.

### Step 2: Use the given rest mass of an electron
The rest mass of an electron is given as \( 9.11 \times 10^{-31} \) kg.

### Step 3: Calculate the mass of one mole of electrons
To find the molar mass, we need to multiply the mass of a single electron by Avogadro's number, which is approximately \( 6.022 \times 10^{23} \) particles/mole.

\[ \text{Molar mass of electron} = \text{mass of one electron} \times \text{Avogadro's number} \]

Substituting the values:

\[ \text{Molar mass of electron} = (9.11 \times 10^{-31} \text{ kg}) \times (6.022 \times 10^{23} \text{ mol}^{-1}) \]

### Step 4: Perform the calculation
Now we perform the multiplication:

\[ \text{Molar mass of electron} = 9.11 \times 10^{-31} \times 6.022 \times 10^{23} \]

Calculating this gives:

\[ \text{Molar mass of electron} \approx 5.48 \times 10^{-7} \text{ kg/mol} \]

### Step 5: Convert kg/mol to g/mol
Since molar mass is typically expressed in grams per mole, we convert kilograms to grams:

\[ 5.48 \times 10^{-7} \text{ kg/mol} = 5.48 \times 10^{-4} \text{ g/mol} \]

### Final Answer
Thus, the molar mass of an electron is approximately \( 5.48 \times 10^{-4} \text{ g/mol} \).

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