Question

How much time would it take to distribute one avagadro's number of wheat grains if 10^10 grains are A)1.9*10^2 years B)1.9*10^10 years C)1.9*10^8 years S)1.9*10^6 years

Answer 1

It takes 1.9
`* 10^(6)` years to distribute all the grains.

Step-by-step explanation:

In one second,
`10^(10)` grains of wheat are distributed.

We are supposed to find the time it would take to Distribute Avogadro number of grains.

1 avogadro number = 6.022
`* 10^(23)`

Number of grains distributed in 1 day = 86400
`* 10^(10)`

= 8.64
`* 10^(14)`

Number of grains distributed in 1 year= 8.64
`* 10^(14) * 365`

= 3.1536
`* 10^(17)`

Time taken =
`(Number of grains to be distributed)/(grains distributed in 1 year)`

=
`\frac {6.022 * 10^(23)}{3.1536* 10^(17)}`

= 1.9
`* 10^(6)`