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I take it you referring to Avogadro's number which is related to the mole (see link), the answer is a very long time. It works out to 19,076,228 years!

Solution: Avogadro's number, which is 6.02 times 10 raised to the 23 power is divided by 86,400, the number of seconds in a day, which equals 6,967,592,592, which is then divided by the average number of days in a year, 365.25, which in turn yields 19,076,228.

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Q: How long would it take to spend a mole of 1 coins if they were being spent at a rate of one billion per second?
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How many years would it take to spend Avogadro's number of rupees at the rate of rs10 lakh per second?

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