How much time would it take to distribute one Avogadro number of wheat grains, if `10^(10)` grains are distributed each second?

Options

A. `4 xx 10^(2)` year
B. `9 xx 10^(6)` year
C. `6 xx 10^(4)` year
D. `2 xx 10^(6)` year

Answer

D

Explanation

`because` Time taken to distribute the `10^(10)` Wheat grains = 1 sec
`6.023 xx 10^(23) = (1 xx 6.022 xx 10^(23))/(10^(10))`
`= 6.022 xx 10^(13)` sec = `(6.022 xx 10^(13))/( 60 xx 60 xx 24 xx 365)` years
`= 1.90956 xx 10^(6)` years