Final answer:
The charge that flows through the hair dryer in 5.0 min is 3000 C. The number of electrons that flow through the hair dryer in 5.0 min is 1.872 × 10^22 electrons.
Step-by-step explanation:
In order to calculate the charge that flows through the hair dryer in 5.0 min, we can use the formula:
Charge (Q) = Current (I) × Time (t)
Given that the current is 10.0 A and the time is 5.0 min, we need to convert the time to seconds by multiplying it by 60:
Charge (Q) = 10.0 A × 5.0 min × 60 s/min = 3000 C
To calculate the number of electrons that flow through the hair dryer in 5.0 min, we can use the fact that 1 C (coulomb) is equal to 6.24 × 10^18 electrons:
Number of electrons = Charge (Q) × 6.24 × 10^18 = 3000 C × 6.24 × 10^18 = 1.872 × 10^22 electrons