Many common materials that we ingest, though quite safe in reasonable quantities, become toxic when taken in very large doses. A measure of toxicity is the LD50 value (Lethal Dose, 50%). It is the quantity of material, expressed in mg of material per kg of subject-body-weight that, if administered to a population of subjects, would cause 50% of the population to die. The LD50 value for FD&C Red Dye No. 40 is >10,000 mg/kg in rats. Assume that the LD50 value for humans is the same as for rats. Calculate the number of mg of Allura Red present in an 9 fluid ounce glass of the beverage you used in this lab and use this calculation to determine the number of such glasses of Allura Red sports drink required to reach the LD50 of 10,000 mg of Allura Red/kg body weight. Assume that the concentration of Allura Red in the beverage is 0.000038 M and the person has a body weight of 175 lbs. The molar mass of Allura Red is 496.42 grams/mol 1 fl oz = 29.5735 mL 2.205 lbs = 1 kg You may assume two significant figures but do not use scientific notation.  Do not include units with your answer.

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter1: The Nature Of Chemistry
Section: Chapter Questions
Problem 76QRT
icon
Related questions
Question

Many common materials that we ingest, though quite safe in reasonable quantities, become toxic when taken in very large doses. A measure of toxicity is the LD50 value (Lethal Dose, 50%). It is the quantity of material, expressed in mg of material per kg of subject-body-weight that, if administered to a population of subjects, would cause 50% of the population to die. The LD50 value for FD&C Red Dye No. 40 is >10,000 mg/kg in rats. Assume that the LD50 value for humans is the same as for rats.

Calculate the number of mg of Allura Red present in an 9 fluid ounce glass of the beverage you used in this lab and use this calculation to determine the number of such glasses of Allura Red sports drink required to reach the LD50 of 10,000 mg of Allura Red/kg body weight. Assume that the concentration of Allura Red in the beverage is 0.000038 M and the person has a body weight of 175 lbs.

The molar mass of Allura Red is 496.42 grams/mol

1 fl oz = 29.5735 mL

2.205 lbs = 1 kg

You may assume two significant figures but do not use scientific notation. 

Do not include units with your answer.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Sample Preparation in Analytical Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry: The Molecular Science
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781337399074
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781133949640
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Chemistry for Engineering Students
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
General Chemistry - Standalone book (MindTap Cour…
General Chemistry - Standalone book (MindTap Cour…
Chemistry
ISBN:
9781305580343
Author:
Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:
Cengage Learning
World of Chemistry
World of Chemistry
Chemistry
ISBN:
9780618562763
Author:
Steven S. Zumdahl
Publisher:
Houghton Mifflin College Div