An eon is 1 billion years. How many eons is a mole of seconds
A mole of seconds is 6.02E23.
1 yr to seconds is
1 yr x (365 days/yr) x (24 hr/day) x (60 min/hr) x (60 sec/min) = ? # seconds/yr.
6.02E23 sec x ( 1 yr/# sec above) x (1 eon/1E9 yrs) = ? eons
Check my work.
To determine how many eons are in a mole of seconds, we first need to establish the value of a mole. In chemistry, a mole is defined as 6.022 x 10^23 entities, which could be atoms, molecules, or any other particles.
Next, we need to calculate the number of seconds in a mole of seconds. To do this, we multiply the value of a mole by the number of seconds in one entity.
The most commonly accepted value for the number of seconds in a year is approximately 31,536,000 seconds.
Therefore, we have:
Number of seconds in a mole of seconds = (6.022 x 10^23) x (31,536,000)
To simplify the calculation, we can express 31,536,000 as 31.536 x 10^6.
Number of seconds in a mole of seconds = (6.022 x 10^23) x (31.536 x 10^6)
Now, we can perform the multiplication:
Number of seconds in a mole of seconds = (6.022 x 31.536) x (10^23 x 10^6)
To multiply the numbers in scientific notation, we add the exponents and multiply the coefficients:
Number of seconds in a mole of seconds = 189.987792 x 10^(23+6)
Simplifying further:
Number of seconds in a mole of seconds ≈ 1.89987792 x 10^29 seconds
Finally, to find out how many eons are in this amount of seconds, we need to convert seconds to eons. Since an eon is defined as 1 billion years, we can divide the number of seconds by the conversion factor:
Number of eons = (1.89987792 x 10^29 seconds) / (1 billion years x 31,536,000 seconds per year)
Simplifying further:
Number of eons ≈ (1.89987792 x 10^29) / (1 x 10^9 x 31,536,000)
Number of eons ≈ (1.89987792 x 10^29) / (3.1536 x 10^16)
Now, we divide the coefficients and subtract the exponents:
Number of eons ≈ 601.87
Therefore, a mole of seconds is approximately equal to 601.87 eons.