how much time(in years) would it take to distribute one avogadro number of wheat grains if 10^10 grains are distributed each second?
#/sec x #sec = 6.02E23
10^10/sec x #sec = 6.02E23
Solve for #sec and convert to years.
1.91*10^6
To determine the time it would take to distribute one Avogadro number (6.022 x 10^23) of wheat grains, we need to calculate the total number of seconds required.
Let's break down the calculation step by step:
1. Calculate the number of wheat grains distributed per year:
In one second, 10^10 grains are distributed.
In one minute, there are 60 seconds.
In one hour, there are 60 minutes.
In one day, there are 24 hours.
In one year, there are 365 days.
Therefore, the number of grains distributed in one year is:
(10^10 grains/second) x (60 seconds/minute) x (60 minutes/hour) x (24 hours/day) x (365 days/year) = 3.1536 x 10^18 grains/year
2. Calculate the number of years needed to distribute one Avogadro number of grains:
Avogadro's number is approximately 6.022 x 10^23 grains.
Now we can calculate the time it would take:
Time (in years) = (6.022 x 10^23 grains) / (3.1536 x 10^18 grains/year)
Performing the division gives us:
Time = 190.54 years
Therefore, it would take approximately 190.54 years to distribute one Avogadro number of wheat grains if 10^10 grains are distributed each second.