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Calculate the number of glasses of Allura Red sports drink, each containing 11.0 mg of Allura Red, required to reach the LD50 of 10,000 mg of Allura Red per kg body weight. Assume the person has a body weight of 235 lbs.

Given:
- LD50: 10,000 mg/kg
- Body weight: 235 lbs
- Conversion: 2.205 lbs = 1 kg

Answer :

Final answer:

To reach the LD 50 of Allura Red, approximately 96,636 glasses of Allura Red sports drink, each containing 11.0 mg of Allura Red, are required for a person with a body weight of 235 lbs.


Explanation:

To calculate the number of glasses of Allura Red sports drink required to reach the LD 50 of 10,000 mg of Allura Red/kg body weight, we first need to convert the person's body weight from pounds to kilograms. Since 2.205 lbs is equal to 1 kg, the person's body weight is 235 lbs / 2.205 lbs per kg = 106.3 kg.

The LD 50 is the dose of a substance that is estimated to be lethal to 50% of the population. In this case, LD 50 of Allura Red is 10,000 mg/kg body weight. So, to calculate the number of glasses needed, we divide the LD 50 dose by the amount of Allura Red in each glass of sports drink: 10,000 mg/kg * 106.3 kg = 1,063,000 mg. Dividing this by 11.0 mg/glass gives us approximately 96,636 glasses of Allura Red sports drink required to reach the LD 50.


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