The 946 mL of Gatorade bottle contains FD&C Blue I at concentration of 0.100mg/L. Molar mass of Blue I is 792.84 g/mol.
a) Calculate the molarity of Blue I in Gatorade.
b) How many molecules of Blue I would you consume by drinking the entire bottle of Gatorade.

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AnnuG AnnuG · Answer 1 · 2022-10-28T07:54:12+02:00

The molarity of Blue I in Gatorade is 0.00010 mol L⁻ molecules of Blue I would you consume by drinking the entire bottle of Gatorade is 4.77 mol

Molarity is the amount of substance in certain volume of solution and also moles of solute per liter of solution

Here given data is

Volume = 946 mL

Molar mass = 792.84 g/mol

Concentration = 0.100mg/L

We have to find molarity and molecules of Blue I would you consume by drinking the entire bottle of Gatorade = ?

Molarity = number of moles of solute/volume of solution

Molarity = 0.100mg/L/946 mL

Molarity =0.00010 mol L⁻

Now we have to find molecules of Blue I = ?

Molecules of Blue I = 792.84 g/mol × avagadro number

Avagadro number = 6.022×10²³

Molecules of Blue I = 792.84 g/mol×6.022×10²³

Molecules of Blue I = 4.77 mol

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