Hydrogen ions moving through a battery

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Homework Statement

In one type of battery, the current is carried by hydrogen ions moving through the liquid. If 1A is flowing through the battery, how long will it take for 1 mole of hydrogen ions to move through the battery?

1 mole of protons = 6.0 x 10²³ protons
q_p = 1.6022 x 10^-19 C

Homework Equations

I = Nq

The Attempt at a Solution

First I want to find the number of protons passing through a certain plane of a wire, for example, in a current of 6A. Which I calculated to be 3.74 x 10¹⁹ protons using the above equation. Then I did a proportionality. If 3.74 x 10¹⁹ protons pass through that plane with a current of 6A in one second, then how long would it take 6.0 x 10²³ protons at the same current? I calculated that it would take 16,402 seconds, but this feels like too long of a time. But this may be because I do not have a good understanding of what a mole exactly means. Can someone help?

 

[RedDelicious]

in a current of 6A. Which I calculated to be 3.74 x 1019 protons using the above equation. Then I did a proportionality. If 3.74 x 1019 protons pass through that plane with a current of 6A in one second, then how long would it take 6.0 x 1023 protons at the same current? I calculated that it would take 16,402 seconds, but this feels like too long of a time.

What makes you think that 16,000 seconds (over 4 hours) is too long? Normally when you do a sanity check, you have a range of acceptable values in mind to compare your answer to. What value were you expecting that is making you think you did something wrong?

But this may be because I do not have a good understanding of what a mole exactly means

A mole of protons is approximately 6.022*10^23 protons, which is what you have above, so your understanding of what a mole is seems fine.