Assuming the mass of an average cell is ten times the mass of a bacterium (which is 10⁻¹⁵ kg):(a) Calculate the number of cells in a hummingbird, assuming it weighs 10⁻² kg. (b) Calculate the number of cells in a human assuming the mass of the person is 10² kg.

Respuesta :

Answer:

[tex]10^{12}\ cells[/tex]

[tex]10^{16}\ cells[/tex]

Explanation:

Mass of cell = [tex]10\times 10^{-15}=10^{-14}\ kg[/tex]

Mass of hummingbird = [tex]10^{-2}\ kg[/tex]

Mass of human = [tex]10^{2}\ kg[/tex]

Number of cells is given by

[tex]n=\dfrac{\text{Mass of hummingbird}}{\text{Mass of cell}}\\\Rightarrow n=\dfrac{10^{-2}}{10^{-14}}\\\Rightarrow n=10^{12}\ cells[/tex]

The number of cells in a hummingbird is [tex]10^{12}\ cells[/tex]

[tex]n=\dfrac{\text{Mass of human}}{\text{Mass of cell}}\\\Rightarrow n=\dfrac{10^{2}}{10^{-14}}\\\Rightarrow n=10^{16}\ cells[/tex]

The number of cells in a human is [tex]10^{16}\ cells[/tex]