Final answer:
To find the number of electrons flowing through the hair dryer, use the formula: No. of electrons = current × time × Avogadro's number / charge of an electron. Substitute the given values to get the answer: 1.3 × 10^25 electrons.
Step-by-step explanation:
To calculate the number of electrons that flow through the hair dryer, we need to use the formula:
No. of electrons = current × time × Avogadro's number / charge of an electron.
Given that the current is 12 A and the time is 4.4 min, we can substitute these values into the formula:
No. of electrons = 12 A × 4.4 min × 60 s/min × 6.022 × 10^23 / 1.602 × 10^-19 C.
Calculating this expression gives us approximately 1.32 × 10^25 electrons. Rounding to two significant figures, the answer is 1.3 × 10^25 electrons.