Question

some inkjet printers produce picoliter-sized drops. how many water molecules are there in one picoliter of water? the density of water is 1.00g/ml.

Answer 1

3.37 x 10¹⁰ molecules

Explanation:

Given parameters:

Volume of water = 1pL = 1 x 10⁻¹²L

Density of water = 1.00g/mL = 1000g/L

Unknown:

Number of water molecules = ?

Solution:

To solve this problem, we first find the mass of the water molecule in the inkjet.

       Mass of water = density of water x volume of water

Then, the number of molecules can be determined using the expression below:

        number of moles = $\frac{mass of water}{molar mass of water}$

 Number of molecules = number of moles x 6.02 x 10²³

Solving:

Mass of water = 1 x 10⁻¹² x 1000 = 1 x 10⁻⁹g

Number of moles:

Molar mass of H₂O = 2 + 16 = 18g/mol

Number of moles = $\frac{1 x 10^{-12} }{18}$ = 5.6 x 10⁻¹⁴moles

Number of molecules =  5.6 x 10⁻¹⁴   x   6.02 x 10²³ = 33.7 x 10⁹

                                     = 3.37 x 10¹⁰ molecules

Learn more:

Number of molecules brainly.com/question/4597791

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