Explore: use the gizmo to explore whether the number of atoms present affects the half-life that you measure. describe your findings below:

The number of atoms present does not affects the half-life

Explanation:

The half-life, of an unstable atomic nuclei is the duration in time for the quantity of the atoms having such unstable nuclear to decrease by a factor of 2 in nature. Here nature refers to the position of the unstable nuclear in the environment. It is indicative of the rate of decay of unstable atoms and the period of survival of stable atoms

The half life is given by

Therefore,

Whereby as time time increases N₀ becomes larger such that remain constant.

percent abundance for cu-63 can be shown as:

63 x + 65 (1-x) = 62.9296

65 - 62.9296 = 2 x

x = 1.035

thus, percent abundance for cu-63 is 1.035

percent abundance for cu-65 can be shown as:

63 x + 65 (1-x) = 64.9278

65 - 64.9278 = 2 x

x = 0.0361

thus, percent abundance for cu-63 is 0.0361

the mass spectrum of cu-63 showing the intense peak as, this isotope is found in nature more abundantly around 92.38 % in comparison to cu-65 which is found 62.58 % naturally