Answer to Question #154817 in Physical Chemistry for aniket gupta

Question

Suppose you are culturing animal cells that have a diameter of 11 µm and an average ATP concentration of 2.5 mM.

Calculate the number of ATP molecules in one cell.

Answer 1

Volume of the cell:

Radius: r = d/2 = 11 / 2 = 5.5 µm

V = 4/3 Pi ∙ r³

V = 4/3 x 3.14 x (5.5)³ = 696.6 µm³

= 0.0000000000000006966 m³ (6.966 x 10^-16 m³)

Concentration of ATP:

2.5 mM = 2.5 x 10^-3 mol/L = 2.5 mol/m³

2.5 x 6.022 x 10²³ = 1.51 x 10²⁴ molecules of ATP in 1 L (1 x 10^-3 m³)

The number of ATP molecules in one cell:

(1.51 x 10²⁴ x 6.966 x 10^-16 m³) / 1 x 10^-3 m³ = 1.05 x 10¹² molecules.