### Understanding Toxicity and LD 50**Overview:**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 LD 50 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 LD 50 value for FD&C Red Dye No. 40 is >10,000 mg/kg in rats. Assume that the LD 50 value for humans is the same as for rats.**Scenario:**Calculate the number of glasses of Allura Red sports drink, each containing 9.3 mg of Allura Red, required to reach the LD 50 of 10,000 mg of Allura Red/kg body weight. Assume the person has a body weight of 225 lbs.Conversion Factor:- 2.205 lbs = 1 kg**Instructions:**1. Calculate the body weight in kilograms: - Convert the body weight from pounds to kilograms using the provided conversion factor.2. Find the total lethal dose in milligrams: - Use the LD 50 value and the body weight in kilograms to find the lethal dose.3. Determine the number of glasses: - Divide the total lethal dose by the amount of Allura Red per glass.**Assumptions:**- Use two significant figures.- Do not use scientific notation.- Do not include units in your final answer.**Calculation Steps:**1. Convert body weight to kilograms:\[ 225 \text{ lbs} \times \frac{1 \text{ kg}}{2.205 \text{ lbs}} = 102 \text{ kg} \]2. Calculate the total lethal dose of Allura Red:\[ \text{Total Lethal Dose} = 10,000 \text{ mg/kg} \times 102 \text{ kg} = 1,020,000 \text{ mg} \]3. Determine the number of glasses:\[ \text{Number of glasses} = \frac{1,020,000 \text{ mg}}{9.3 \text{ mg/glass}} = 110,000 \]- This would be rounded off to two significant figures, resulting in 110,000.**Final Answer:**

Mass of the person given is 225 lbs Since 2.205 lbs = 1 Kg Hence mass of person in Kg = mass in lbs…

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 LD 50 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 LD 50 value for FD&C Red Dye No. 40 is >10,000 mg/kg in rats. Assume that the LD 50 value for humans is the same as for rats. Calculate the number of number of glasses of Allura Red sports drink, each containing 9.3 mg of Allura Red, required to reach the LD 50 of 10,000 mg of Allura Red/kg body weight. Assume the person has a body weight of 225 Ibs. 2.205 Ibs = 1 kg %3!

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 LD 50 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 LD 50 value for FD&C Red Dye No. 40 is >10,000 mg/kg in rats. Assume that the LD 50 value for humans is the same as for rats. Calculate the number of number of glasses of Allura Red sports drink, each containing 9.3 mg of Allura Red, required to reach the LD 50 of 10,000 mg of Allura Red/kg body weight. Assume the person has a body weight of 225 Ibs. 2.205 Ibs = 1 kg %3!

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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