To find the total number of electrons transported from the positive electrode to the negative electrode, we need to calculate the total charge $Q$ transported by the current over the time period from when the battery is first used until it is completely dead.

The current is given by:

$I(t) = (0.860 \, \text{A}) \, e^{-t/6 \, \text{hr}}$

Step 1: Express Current in SI Units

Since the current is in amperes, and time is in hours, we need to convert time into seconds to use standard SI units. The time constant here is $6 \, \text{hr} = 6 \times 3600 \, \text{s} = 21600 \, \text{s}$.

Thus, the current equation becomes:

$I(t) = (0.860 \, \text{A}) \, e^{-t/21600 \, \text{s}}$

Step 2: Total Charge Transported

The total charge transported $Q$ is the integral of the current