If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate of one pea per second, working 17 hours per day, 365 days per year?
Answer in units of yrs.
To calculate the time it would take for the entire population of Earth to pick 1 mol of peas, we need to determine the number of people on Earth and the number of peas in 1 mol.
1 mol of peas is equal to Avogadro's number (6.022 x 10^23) of peas.
The current world population is approximately 7.9 billion people (7.9 x 10^9).
To find the time it takes to pick 1 mol of peas, we can calculate the number of peas picked per year:
Number of peas picked per year = 1 pea/second * 60 seconds/minute * 60 minutes/hour * 17 hours/day * 365 days/year = 1,917,720 peas/year
Next, we calculate the number of people picking peas per year:
Number of people picking peas per year = 7.9 x 10^9 people
To find the total number of peas picked per year by the entire population:
Total number of peas picked per year = Number of peas picked per year * Number of people picking peas per year = 1,917,720 peas/year * 7.9 x 10^9 people = 1.5179 x 10^19 peas/year
Finally, to find the time it takes to pick 1 mol of peas, we divide the number of peas in 1 mol by the total number of peas picked per year:
Time to pick 1 mol of peas = (6.022 x 10^23 peas) / (1.5179 x 10^19 peas/year) = 3.9721 x 10^4 years
Therefore, it would take approximately 39,721 years for the entire population of Earth to pick 1 mol of peas at the given rate.
To calculate the time it would take for the entire population of Earth to pick 1 mol of peas, we first need to determine the population of Earth and convert 1 mol of peas into its numerical value.
1 mole of peas is equal to Avogadro's number, which is approximately 6.022 x 10^23 peas.
According to the United Nations, the estimated global population as of July 2021 is approximately 7.9 billion people.
To find the number of peas each person needs to pick, we can divide the total number of peas by the population:
(6.022 x 10^23 peas) / (7.9 x 10^9 people) ≈ 7.62 x 10^13 peas per person
Now, we can calculate the time it would take for each person to pick this many peas at a rate of one pea per second, working 17 hours per day, 365 days per year.
There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Thus, there are:
60 x 60 x 24 = 86,400 seconds in a day
And working for 17 hours per day gives us:
17 x 60 x 60 = 61,200 seconds per day
Now, we can calculate the time it would take for a single person to pick the required number of peas:
(7.62 x 10^13 peas) / (1 pea per second) ≈ 7.62 x 10^13 seconds
To convert this into years, we divide the number of seconds by the number of seconds in a year:
(7.62 x 10^13 seconds) / (61,200 seconds per day x 365 days per year) ≈ 3,886,908 years
Therefore, it would take approximately 3,886,908 years for the entire population of Earth to pick 1 mol of peas at a rate of one pea per second, working 17 hours per day, 365 days per year.
To calculate the time it would take for the entire population of Earth to pick 1 mol of peas, we need to break down the steps involved.
Step 1: Calculate the total number of people on Earth.
The most recent estimate of the world population is around 7.9 billion people.
Step 2: Calculate the total number of seconds in a year.
There are 365 days in a year, and 24 hours in a day. So, there are:
365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 31,536,000 seconds in a year.
Step 3: Calculate the number of peas in 1 mol of peas.
A mole (mol) is defined as 6.022 x 10^23 entities.
Step 4: Calculate the total number of peas that need to be picked.
Since we want to pick 1 mol of peas, we will need to pick 6.022 x 10^23 peas.
Step 5: Calculate the picking rate per person per year.
If each person picks 1 pea per second, there are 31,536,000 seconds in a year, so each person can pick 31,536,000 peas per year.
Step 6: Calculate how many peas can be picked by the entire population in a year.
To find the total number of peas picked in a year, we need to multiply the number of people by the number of peas each person can pick in a year. Therefore:
Total peas picked per year = Total people * Peas picked per person per year
Total peas picked per year = 7.9 billion * 31,536,000 peas/year
Step 7: Calculate the time it will take to pick 1 mol of peas.
To calculate this, we need to divide the total number of peas to be picked (6.022 x 10^23 peas) by the total peas picked per year. Therefore:
Time in years = Total peas to be picked / Total peas picked per year
Time in years = (6.022 x 10^23 peas) / (7.9 billion * 31,536,000 peas/year)
Simplifying the calculations:
Time in years = (6.022 x 10^23) / (7.9 x 10^9 x 31,536,000)
Evaluating this expression, we get the answer.