A electric heater that draws 13.5 A of dc current has been left on for 10 min.How many electrons that have passed through the heater during that time? (e = 1.60 × 10^-19C) A)1.5 × 10²² B)5.1 × 10²² C)1.8 × 10³ D)8.1 × 10³ E)1.0 × 10²³

Question

Quizplus · Accepted Answer

First, we need to calculate the total charge that passed through the heater:

Q = I*t
Q = 13.5 A * 10 min * 60 s/min
Q = 8100 C

Then, we can use the definition of electric charge to find the number of electrons:

Q = n*e
n = Q/e
n = 8100 C / (1.60 × 10^-19 C/e)
n = 5.0625 × 10^22 electrons

Rounding to two significant figures, we get:

n = 5.1 × 10^22 electrons, which corresponds to answer choice B.

A Electric Heater That Draws 13