How much time would it take to distribute one Avogadro number of wheat grains, if 1010 grains are distributed each second? - Chemistry

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Numerical

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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Chapter 5: States of Matter - EXERCISES [Page 158]

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NCERT Chemistry Part 1 and 2 Class 11
Chapter 5 States of Matter
EXERCISES | Q 5.14 | Page 158

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