In the gold foil experiment of Geiger and Marsden, that paved the way for Rutherford's model of an atom, `~ 1.00%` of the `alpha`-particles were found to deflect at angles `gt 50^(@)`. If one mole of `alpha`-particles were bombarded on the gold foil, compute the number of `alpha`-particles that would deflect at angles less than `50^(@)`.

Explanation

To solve the problem, we need to calculate the number of alpha particles that deflect at angles less than 50° when 1 mole of alpha particles is bombarded on the gold foil.

### Step-by-Step Solution:

1. **Understand the Total Number of Alpha Particles:**
- We know that 1 mole of any substance contains approximately \(6.022 \times 10^{23}\) particles. Therefore, the total number of alpha particles bombarded on the gold foil is:
\[
\text{Total alpha particles} = 6.022 \times 10^{23}
...