Answer:
2584640 J
Explanation:
From the question given above, the following data were obtained:
Number of mole of gold = 41 moles
Molar mass of gold = 197 g/mol
Velocity (v) = 800 m/s
Kinetic energy (KE) =..?
Next, we shall determine mass of gold in Kg. This can be obtained as follow:
Number of mole of gold = 41 moles
Molar mass of gold = 197 g/mol
Mass of gold =?
Mass = mole × molar mass
Mass of gold = 41 × 197
Mass of gold = 8077 g
Convert 8077 g to Kg:
1000 g = 1 Kg
Therefore,
8077 g = 8077 g × 1 Kg / 1000 g
8077 g = 8.077 Kg
Finally, we shall determine the kinetic energy of the gold atom. This can be obtained as follow:
Velocity (v) = 800 m/s
Mass of gold = 8.077 Kg
Kinetic energy (KE) =..?
KE = ½mv²
KE = ½ × 8.077 × 800²
KE = ½ × 8.077 × 640000
KE = 2584640 J
Thus, the kinetic energy of the gold atom is 2584640 J
