Question

In the Gold foil experiment of Geiger and Marsden, that paved the way for Rutherford’s model of an atom, ~ 1.00% of the α-particles were found to deflect at angles > 50º. If one mole of α-particles were bombarded on the gold foil, compute the number of α-particles that would deflect at angles less than 500.

Answer 1

% of a-particles deflected more than 50° = 1%

% of a-particles deflected less than 50°
= 100 −1

= 99%

Number of a-particles bombarded = 1 mole = 6.022 × 10²³particles

Number of particles that deflected at an angle less than 50°

= `99/100 xx 6.022 xx 10^23 100`

= `99/100 xx 6.022 xx 10^23`

= `(596.178)/100 xx 10^23`

= 5.96 × 10²³