Answer:
Current is 32.8 A
Explanation:
1 mass of Au atom = 3.27×10⁻²⁵kg
Mass of gold = 3.6 kg
We determine the amount of atoms, in that mass of gold therefore we need a rule of three:
3.27×10⁻²⁵kg is the mass for 1 atom
3.6 kg will be the mass for (3.6 . 1)/3.27×10⁻²⁵ = 1.10×10²⁵ atoms
Now we have to find out the total charge of the 3.6 kg of gold so we make another rule of three:
1 atom of Au has a charge of 1.602 × 10⁻¹⁹ C
1.10×10²⁵ atoms of Au will have a charge of (1.10×10²⁵.1.602 × 10⁻¹⁹) / 1 = 1.76×10⁶ C
Formula for the current is: q = i . t
where q is the C, i the value of current and t, time (s)- We make time conversion from h to s
14.88 h . 3600s / 1h = 53568 s → We replace values:
1.76×10⁶ C = i . 53568s
1.76×10⁶ C / 53568s = i → 32.8 A
