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

Question

3 years ago

10

water is 1.00g/ml.

1 answer:

GrogVix [38] · Answer 1 · 2022-03-05T20:24:22+03:00

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

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