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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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