The approximate population of Earth is 6
billion people. How many moles of people
inhabit Earth?
1. 2.033 × 10−14 mol
2. 7.083 × 10−15 mol
3. 1.541 × 10−14 mol
4. 9.96347 × 10−15 mol
5. 5.32 × 10−15 mol
6. 2.554 × 10−15 mol
To determine the number of moles of people on Earth, we need to convert the population into moles. The molar mass of a person is approximately 70 kg.
First, we need to convert the population to kilograms:
6 billion people × 70 kg/person = 420 billion kg
Next, we need to convert kilograms to moles. The molar mass of a person is approximately equal to the mass of one mole of people.
1 mole of people = 70 kg
Therefore, the number of moles of people on Earth is:
420 billion kg / 70 kg/mol = 6 billion mol
So, the correct answer is not listed among the options provided.
To calculate the number of moles of people on Earth, we need to use Avogadro's number, which is approximately 6.022 × 10^23 molecules per mole.
First, we need to calculate the number of molecules in the population. Since there are 6 billion (6 × 10^9) people, we can multiply this number by Avogadro's number to find the number of molecules:
6 × 10^9 people × 6.022 × 10^23 molecules per mole = 3.6132 × 10^33 molecules
Next, we divide the number of molecules by Avogadro's number to find the number of moles:
3.6132 × 10^33 molecules ÷ 6.022 × 10^23 molecules per mole = 6.00 × 10^9 moles
Therefore, the answer is 6.00 × 10^9 moles. None of the given options match this value exactly.
To calculate the number of moles of people on Earth, we need to use Avogadro's number, which is approximately 6.022 × 10^23. This number represents the number of particles (atoms, molecules, or in this case, people) in one mole.
First, we divide the population of Earth by Avogadro's number to find the number of moles of people:
6 billion people / 6.022 × 10^23 people/mol = (6 × 10^9) / (6.022 × 10^23) mol
Now let's calculate this value:
(6 × 10^9) / (6.022 × 10^23) ≈ 9.96347 × 10^-15 mol
So, the correct answer is 4. 9.96347 × 10^-15 mol.