If mass of one atom is `3.32 xx 10^(-23)g,` then calculate number of nucleons (neutrons and protons) present in 2 atoms of the element:

Options

A. 40
B. 20
C. 10
D. `40 N_(4)`

Answer

To solve the problem of calculating the number of nucleons (neutrons and protons) present in 2 atoms of the element, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the mass of one atom and the mass of one nucleon:**
- Given mass of one atom = \(3.32 \times 10^{-23} \, \text{g}\)
- Mass of one nucleon (either a proton or neutron) = \(1.67 \times 10^{-24} \, \text{g}\)

2. **Calculate the number of nucleons in one atom:**
- The number of nucleons in one atom can be calculated using the formula:
\[ \text{Number of nucleons} = \frac{\text{Mass of one atom}}{\text{Mass of one nucleon}} \]
- Substituting the values:
\[ \text{Number of nucleons} = \frac{3.32 \times 10^{-23} \, \text{g}}{1.67 \times 10^{-24} \, \text{g}} \]

3. **Perform the calculation:**
- Dividing the two values:
\[ \text{Number of nucleons} = \frac{3.32}{1.67} \times 10^{1} \approx 19.8 \]
- Rounding this to the nearest whole number gives approximately 20 nucleons per atom.

4. **Calculate the number of nucleons in 2 atoms:**
- Since we have 2 atoms, we multiply the number of nucleons in one atom by 2:
\[ \text{Number of nucleons in 2 atoms} = 2 \times 20 = 40 \]

5. **Final Answer:**
- The total number of nucleons in 2 atoms of the element is **40**.