Geologists estimate that the Earth is about 4,500,000,000 years old.?

  • Thread starter Thread starter EMSoccer
  • Start date Start date
1 mole = 6.0225 × 10^23, so multiply (4.5 × 10^9) years by 365 days by 24 hours by 60 minutes by 60 seconds, then divide by (6.0225 × 10^23).

In other words
((4.5 x 10^9 years) × 365 days x 24 hours x 60 min x 60 s) / (6.0225 × 10^23) .

This gives you 0.00000024, or 2.4 x 10^-7 mol (remember your significant figures!)

And the mol is NOT a seldom used unit of measurement. Any chemists reading that have probably just dropped a load in their pants.
 
Mole is a seldom used unit of measurement. It measures substance of mass - not time.

If you want to use the number given for 1 mole and match it up with seconds, this would be 6.022 x 10^23 = 602 200 000 000 000 000 000 000

The age of the Earth would then be about 1.4 x 10^17 seconds = 140 000 000 000 000 000

To find your answer, divide 140 by 602,200,000
 
The Earth is 0.00000023581178 moles of seconds old.
That is 1/4,240,670 of a mole in seconds.

For other readers: a mole is a unit of count, just as is a dozen or a score. But it is a VERY large unit. Usually reserved for atomic sized items, it can be used to count anything. According to the International System of Units, it is officially 6.02214179 times 10^23.
.
 
Back
Top