Question

How much time would it take to distribute one Avogadro number of wheat grains, if $10^{10}$ grains are distributed each second?

Answer 1

10^10 ➡️ 1 second

6.022×10²³ ➡️ x second

So, x = 6.022×10²³/10^10

= 6.022×10¹³ seconds.

Answer 2

The Avogadro number’s value is $6.02\times 10^{23 }$

No. of grains distributed everyday = $10^{10}$ grains

No. of seconds = $(6.02\times 10^{23})/ 10^{10}\rightarrow 6.02\times 10^{13} seconds$

Converting these seconds to years $\rightarrow6.02\times 10^{13}/ (60s\times 60m\times 24h\times365d)$

This gives $1.90\times 10^6$years. This means $10^{10}$ grains should be distributed every day for $1.90\times 10^6$years to reach the Avogadro number.