Answer : The mass of Allura Red present in an 10 fluid ounce glass of the beverage is, 7.634 mg.
Explanation : Given,
Volume of solution = 10 fl oz = 295.735 mL
Molar mass of Allura Red = 496.42 g/mole
Concentration of Allura Red (Molarity) = 0.000052 M
Molarity : It is defined as the number of moles of solute present in one liter of volume of solution.
Formula used :
[tex]\text{Molarity}=\frac{\text{Mass of Allura Red}\times 1000}{\text{Molar mass of Allura Red}\times \text{Volume of solution (in mL)}}[/tex]
Now put all the given values in this formula, we get:
[tex]0.000052M=\frac{\text{Mass of Allura Red}\times 1000}{496.42g/mole\times 295.735mL}[/tex]
[tex]\text{Mass of Allura Red}=0.007634g=7.634mg[/tex]
Therefore, the mass of Allura Red present in an 10 fluid ounce glass of the beverage is, 7.634 mg.