Earth's population is about 6.5 billion. Suppose that every person on Earth participates in a process of counting identical particles at the rate of four particles per second. How many years would it take to count 8.10 x 10^23 particles? Assume that there are 365 days in a year.
To find out how many years it would take to count 8.10 x 10^23 particles, we need to calculate the total number of seconds it would take to count that many particles using the given rate and then convert it to years.
First, let's calculate the total number of particles that can be counted in one second by multiplying the rate (four particles per second) by the number of people on Earth (6.5 billion).
Particles counted per second = Rate × number of people
= 4 particles/second × 6.5 billion people
We need to convert the number of people from billion to unit form (1 billion = 1 x 10^9), so the calculation becomes:
Particles counted per second = 4 particles/second × 6.5 x 10^9 people
Next, let's calculate the total number of seconds required to count 8.10 x 10^23 particles by dividing the number of particles by the number of particles that can be counted in one second:
Total seconds required = 8.10 x 10^23 particles / Particles counted per second
Now, we can calculate the number of years by converting the total number of seconds into years. We know that there are 365 days in a year and 24 hours in a day, therefore:
Total years required = Total seconds required / (60 seconds × 60 minutes × 24 hours × 365 days)
Plugging in the values and performing the calculations will give us the answer.