Question

Find out the human population of Earth. Is there a mole of people inhabiting Earth? If the average mass of a person is 60 kg, calculate the mass of a mole of people. How does the mass of a mole of people compare with the mass of Earth?

Answer 1

Answer:

$M = 3.61 \times 10^{25} kg$

mass of 1 mole of person is 6.02 times more than the mass of earth

Explanation:

Number of atoms in 1 mole = Avagadro Number

$1 mole = 6.02 \times 10^{23}$

now we know that average mass of one person = 60 kg

so total mass of 1 mole of persons

$M = (6.02 \times 10^{23})(60)$

$M = 3.61 \times 10^{25} kg$

now the comparison of this mass of 1 mole of person with the mass of earth is as following

$\frac{M}{M_E} = \frac{3.61 \times 10^{25}}{6 \times 10^{24}}$

$\frac{M}{M_E} = 6.02$

So mass of 1 mole of person is 6.02 times more than the mass of earth