College

The LD\(_{50}\) value of sodium cyanide administered orally to rats is 15.00 mg/kg of body weight. If this value is extrapolated to humans, what could be the lethal dose for a person weighing 139 lb?

Given:
1 kg = 2.21 lb

Calculate the lethal dose in milligrams (mg) and write your answer as a four-digit number in the space below.

Write ONLY the number (without units), for example, 2345, 3100, or 524.0.

Answer :

Final answer:

To calculate the lethal dose of sodium cyanide for a person weighing 139 lb, convert their weight to kilograms and multiply by the LD50 value for the substance.


Explanation:

To calculate the lethal dose of sodium cyanide for a person weighing 139 lb, we need to convert the weight from pounds to kilograms. Knowing that 1 kg is equal to 2.21 lb, we can calculate the weight of the person in kilograms by dividing their weight in pounds by 2.21. So, 139 lb / 2.21 lb/kg = 62.9 kg.

The lethal dose value for sodium cyanide in rats is given as 15.00 mg/kg of body weight. To calculate the lethal dose for a person weighing 62.9 kg, we multiply their weight by the LDso value: 62.9 kg * 15.00 mg/kg = 943.5 mg.

Therefore, the lethal dose for a person weighing 139 lb would be approximately 9435 mg.


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