Gigantic cells

Chemistry Level 2

Given a new type of cell (spherical shape with radius 5 nm) that lives by absorbing O 2 O_2 and releasing C O 2 CO_2 . The cell only dies when the intake of O 2 O_2 is less than releasing of C O 2 CO_2 Given that each n m 3 nm^3 of the cell absorb O 2 O_2 and release C O 2 CO_2 at the same rate, while each n m 2 nm^2 of the cell membrane can allow the exchange of products from each 15 n m 3 15nm^3 If a scientist enlarge the cell without changing its rate of production and cell wall permeability What is the maximum percentage of volume can he enlarge the cell such that the cell still lives.


The answer is 72900.

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