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24 April, 00:56

The concentration of a biomolecule inside a rod-shaped prokaryotic cell is 0.0029 m. calculate the number of molecules inside the cell, which is 4.9 μm long and 1.2 μm in diameter.

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  1. 24 April, 03:04
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    Molarity is expressed as:

    Molarity = moles / liter

    Given that the cell is rod-shaped, its volume is calculated using the formula for a cylinder's volume:

    V = πr²L

    V = π * (0.6) ² * 4.9

    V = 5.54 μm³

    1 Liter = 10³ mm³

    1 mm = 10³ μm

    1 mm³ = 10⁹ μm³

    1 liter = 10¹² μm³

    So the volume in liters is:

    5.54 x 10⁻¹² L

    Moles = molarity * liters

    Moles = 0.0029 * 5.54 x 10⁻¹²

    Moles = 1.61 x 10⁻¹⁴

    To get the number of molecules, we multiply the moles by Avagadro's number

    Number of molecules = 1.61 x 10⁻¹⁴ * 6.02 x 10²³

    There are 9.69 x 10⁹ molecules in the cell
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