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2 October, 16:00

The concentration of a biomolecule inside a rod‑shaped prokaryotic cell is 0.0035 M. Calculate the number of molecules inside the cell, which is 4.2 μm long and 1.3 μm in diameter

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  1. 2 October, 16:17
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    Answer: This rod-shape prokaryotic cell has 3.740,734725‬ molecules

    Explanation:

    Step 1 : given data

    Molarity of the prokaryotic cell = 0.0035 M

    Length of the cell = 4.2 μm = 4.2 * 10^-6 m

    diameter of the cell = 1.3 μm = 1.3 * 10^-6 m

    Step 2: calculate volume

    To calculate volume of a rod, weneef to know the radius.

    V = r ² * l

    The radius = half of the diameter : r = d/2 ⇒ (1.3 * 10^-6 m) / 2 = 0.65 * 10^-6 m

    V = (0.65 * 10^-6 m) ² * 4.2 * 10^-6 m = 1.7745 * 10 ^-18 L

    Step 3: Calculating number of moles

    Number of moles = Concentration * Volume

    moles = 0.0035 M * 1.7745 * 10 ^-18 L = 6.21075 * 10^-21 moles‬

    Step 4: calculating number of molecules

    1 mole contains 6.023 * 10 ^-23 molecules

    6.21075 * 10^-21 moles contain : 6.21075 * 10^-21 * 6.023 * 10 ^-23 molecules = 3.740,734725‬ molecules

    This rod-shape prokaryotic cell has 3.740,734725‬ molecules
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