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Avogadro's number is unfathomably big. To give us some

perspective, let's think of if it terms of time. Consider 1 mole of
seconds. That's 6.02×10²⁴ seconds. How many trillions of years is
that?

1 Answer

2 votes

Final answer:

Avogadro's number is the number of particles in one mole of a substance. To convert 6.02 x 10²⁴ seconds to trillions of years, divide by the number of seconds in a year (31,536,000 seconds/year) and express the result in trillions of years.

Step-by-step explanation:

Avogadro's number, which is 6.02 x 10²³, represents the number of particles in one mole of a substance. In this case, the question asks for the number of trillions of years that is equivalent to 6.02 x 10²⁴ seconds, which is one mole of seconds.

To convert seconds to years, we need to know how many seconds are there in a year. There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Additionally, we assume there are 365 days in a year.

  1. Calculate the number of seconds in a year: 60 seconds/minute x 60 minutes/hour x 24 hours/day x 365 days/year = 31,536,000 seconds/year
  2. Divide the number of seconds in one mole by the number of seconds in a year: (6.02 x 10²⁴ seconds) / (31,536,000 seconds/year) = 1.91 x 10⁶ years
  3. Express the result in trillions of years: 1.91 x 10⁶ years = 1.91 trillion years
User Teruki Shinohara
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