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Question
How much time would it take to distribute one Avogadro number of wheat grains, if 1010 grains are distributed each second?
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Solution 1
Avogadro number = 6.02 × 1023
Thus, time required
`= (6.02 xx 10^(23))/10^10 "s"`
`= 6.02 xx 10^23 " s"`
`= (6.02 xx 10^23)/(60xx60xx24xx365)` year
`= 1.909 xx 10^6` year
Hence, the time taken would be `1.909 xx 10^(6)` year
Solution 2
Time taken to distribute `10^10` grain =1 s
Time taken to distribute = `6.022 xx 10^23 "grain"`
`= (1" s" xx 6.022 xx 10^23 " gain")/(10^10 " grain")`
=`(6.022 xx 10^13)/(60xx60xx24xx365) ` = `1.9 xx 10^6` yr
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