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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 15 hours per day, 365 days per year

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It will take [tex] 1.392 \times {10}^{10} \: years[/tex] for the entire population of the Earth to pick a mole of pea at the specified rate.

1 mole of a substance is given by :

  • [tex]6.022 \times {10}^{23} [/tex]
  • Rate per person = 1 pea per second

Working 15 hours per day ; 365 days per year

  • 1 person will pick = (1 × 365 × 15) = 5475 peas per year

  • Taking the world population as 7,900,000,000 people

  • Number of peas picked per year = (7,900,000,000 × 5475) = 43252500000000

The time taken to pick 1 mole of pea will be :

  • 1 mole of pea ÷ Number of peas picked per year

  • [tex] \frac{6.022 \times {10}^{23} }{4.325 \times {10}^{13} } = 1.392 \times {10}^{10} \: years[/tex]

The time taken to pick 1 mole of pea will be

[tex]1.392 \times {10}^{10} \: years[/tex]

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