Experiment 3 - Qualitative and Quantitative Analysis of Food Dyes >> Step 4 : Part 2

Experiment 3 - Qualitative and Quantitative Analysis of Food Dyes

Step 4 - Part 2: Determining if the drink exceeds the ADI guideline for Blue #1


Now that we have calculated the concentration of Blue #1 dye in our drink to be 2.2 x 10^-6 M, we can determine if this exceeds the acceptable daily intake (ADI) of Blue #1 set by the Joint FAO/WHO Expert Committee on Food Additives.



The ADI level for Blue #1 is 12.5 mg per kg of body mass.
Calculate the amount Blue #1 consumed in a 250 mL serving of sports drink, then determine if this exceeds the ADI level for a 25 kg child. (Note the molar mass for Blue #1 = 792.84 g/mol. Please enter your answers to 3 significant figures.)
Hint
A 250 ml serving contains:
mg Blue #1
 
ADI =
mg Blue #1 permitted for a 25 kg child
 
The sports drink
Select
exceeds
does not exceed
mg Blue #1 permitted for a 25 kg child
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The following tutors are a step by step walkthrough that show the details on how to solve the above problem.

To calculate the content of Blue #1 in a 250 mL serving of beverage, we must convert from our measured concentration of 2.2 x 10^-6 moles/L to units of mg per 250 mL serving. (Note the molar mass for Blue #1 = 792.84 g/mol. Please enter your answers to 3 significant figures)
Hint
mg Blue #1 in a 250 mL serving of drink
Correct, one 250mL serving of the drink contains 0.436 mg of Blue #1.
Your answer is not correct. Please try your calculation again, or you can click the 'hint' button for help in solving this problem.
Hint:
To calculate the content of Blue #1, we first determine moles by multiplying the volume, 0.250 L times the concentration 2.2 x 10^-6 M.
 
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Hint:
Once you have determined the number of moles, you can multiply this amount by the formula weight for Blue #1, 792.84 g/mol to determine grams.
 
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Hint:
The last step is to convert from grams to mg by multiplying by (1000 mg / 1 g). Using these conversions, can you determine the content of Blue #1 in a 250 mL serving of drink?
 
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Hint:
The answer is: (0.250 L) *(2.2 x 10^-6 moles/L) * (792.84 g/mol) * (1000 mg / 1 g) = 0.436 mg
 
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To calculate the ADI level of Blue #1 for a 25 kg child, we multiply the given ADI value of 12.5 mg per kg of body mass by the mass of a child, 25kg. (Please enter your answers to 3 significant figures)
Hint
ADI = 
mg Blue #1 permitted for a 25 kg child
Therefore, the sports drink 
Select
exceeds
does not exceed
the ADI level for a 25 kg child
Correct, one 250mL serving of the drink contains 0.436 mg of Blue #1, which is below the ADI of 313 mg for a 25 kg child.
Your answer is not correct. Please try your calculation again, or you can click the 'hint' button for help in solving this problem.
Hint:
To solve this problem, we need to multiply the ADI value of 12.5 mg per kg by the mass of a child, 25 kg.
 
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Hint:
The ADI calculation is 12.5 mg/kg * 25 kg child = 313 mg of Blue #1 for a 25 kg child.
 
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Hint:
In the above tutor, we calculated the mg of Blue #1 to be 0.436 mg per 250 mL serving. Is this above or below the ADI value for a 25 kg child?
 
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Hint:
0.436 mg per serving is below the ADI value for a 25 kg child. Therefore the drink does NOT exceed the ADI value for Blue #1.
 
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