Final answer:
To calculate the charge that flows through an appliance in 3.0 minutes with 5.40×10²¹ electrons, multiply the number of electrons by the elementary charge of an electron (1.602×10⁻¹⁹ C) to get a total charge of approximately 8.648×10² coulombs.
Step-by-step explanation:
The question asks how much charge goes through an appliance when 5.40×10²¹ electrons flow through it in 3.0 minutes.
To answer this, we need to use the elementary charge of an electron, which is approximately 1.602×10⁻¹⁹ coulombs (C). Multiplying the number of electrons by the elementary charge gives us the total charge.
Total charge = number of electrons × elementary charge of electron
Total charge = 5.40×10²¹ × 1.602×10⁻¹⁹ C
Total charge = 8.648×10² C (rounded to three significant figures)
Therefore, 8.648×10² C of charge goes through the appliance in 3.0 minutes.