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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?

a) Yes, mole of people exists; comparable mass.
b) No, mole of people does not exist; negligible mass.
c) Yes, mole of people exists; much smaller mass.
d) No, mole of people does not exist; much larger mass.

1 Answer

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Final answer:

The human population on Earth does not equate to a mole, which is 6.022 x 10²³ entities. A mole of people, given an average mass of 60 kg per person, would result in a mass much larger than that of Earth.

Step-by-step explanation:

The current human population of Earth is approximately 7.8 billion, which is significantly less than a mole of people. A mole is defined as Avogadro's number, which is 6.022 x 10²³ entities. Since there are vastly fewer than 6.022 x 10²³ people on Earth, it's clear that we do not have a mole of people inhabiting our planet.

If we were to calculate the mass of a mole of people, assuming the average mass of a person is 60 kg, we would multiply the number of entities in a mole by the mass of one entity: 6.022 x 10²³ entities times 60 kg/entity equals 3.6132 x 10²µ kg. This number is enormously large and purely hypothetical, as we do not actually have a mole of people.

Comparing this to the mass of the Earth, which is roughly 5.972 x 10²´ kg, it's clear that the mass of a mole of people would be much greater than the mass of the Earth. Therefore, the correct answer is d) No, mole of people does not exist; much larger mass.

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