Answer :

cristisp93

In one mole of seconds there are 1.909 × 10⁷ eons.

Explanation:

We know that:

1 year have 3.154 × 10⁷ seconds.

1 mole of seconds have 6.022 × 10²³ seconds (Avogadro's number).

1 eon = 1 bilion years = 10⁹ years

? eon = 1 mole of seconds

To find the number of seconds in a eon we devise the following reasoning starting from 1 mole of seconds:

if         3.154 × 10⁷ seconds are equal to 1 year

then    6.022 × 10²³ seconds are equal to X years

X = (6.022 × 10²³ × 1) / 3.154 × 10⁷ = 1.909 × 10¹⁶ years

if          10⁹ years are equal to 1 eon

then    1.909 × 10¹⁶ years are qual to Y eons

Y =  (1.909 × 10¹⁶ × 1) /  10⁹ = 1.909 × 10⁷ eons

Learn more about:

Avogadro's number

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