Final answer:
The time required for 18.75 x 10^12 electrons to leave a battery with a current of 0.4 A is calculated by determining the total charge and using the formula I = Q/t, which yields a result of 46.9 seconds.
Step-by-step explanation:
The amount of time required for 18.75 x 1012 electrons to leave the negative terminal of a battery when the current provided by the battery is 0.4 A can be found by first calculating the total charge of the electrons and then using the relationship between current, charge, and time. First, we calculate the charge of one electron, which is approximately 1.602 x 10-19 Coulombs. Multiplying this by 18.75 x 1012 gives us the total charge.
Then, we use the formula for current I = Q/t, where I is the current in Amperes, Q is the charge in Coulombs, and t is the time in seconds. Rearranging for t, we get t = Q/I. Plugging in our values, we find the time required for all electrons to move through the circuit. The final calculation provides a time of 46.9 seconds.