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22 May, 15:43

According to the bottle, a serving size of Gatorade is 240 mL. The molar mass of Red Dye #40 is 496.43 g/mol. Use this information along with the concentration of Red Dye #40 in Gatorade to calculate the mass (in mg) of Red Dye #40 ingested per serving of Gatorade.

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  1. 22 May, 16:30
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    mass Red Dye 40 = 0.0696 mg

    Explanation:

    aas found by means of quantitative methods of analysis of dyes in sports drinks:

    ⇒ [Red Dze 40] = 5.842 E-7 mol/L

    analysis performed at a wavelength of 504 nm; value that is below the allowable limits for these drinks.

    ∴ mass of Red Dye ingested:

    ⇒ mass Red Dye = (5.842 E-7 mol/L) (496.43 g/mol) (1000 mg/g) (0.240 L)

    ⇒ mass Red Dye = 0.0696 mg
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