What is the lethal dosage of aspirin (LD50 = 200. mg/kg, orally in rats), in grams, for a 24.63-lb toddler?

To calculate the lethal dosage of aspirin for a 24.63-lb toddler using the LD50 value, we need to follow these steps:

### Step-by-Step Solution:
1. **Convert the toddler's weight from pounds to kilograms**:
   \[
   1 \, \text{lb} = 0.4536 \, \text{kg}
   \]
   So, the toddler's weight in kilograms is:
   \[
   24.63 \, \text{lb} \times 0.4536 \, \frac{\text{kg}}{\text{lb}} = 11.17 \, \text{kg}
   \]

2. **LD50 is given as 200 mg/kg** for rats, meaning 200 mg of aspirin per kilogram of body weight is lethal to 50% of the population.

3. **Calculate the lethal dose in milligrams**:
   \[
   \text{Lethal dose} = 200 \, \frac{\text{mg}}{\text{kg}} \times 11.17 \, \text{kg} = 2234 \, \text{mg}
   \]

4. **Convert milligrams to grams**:
   \[
   1 \, \text{g} = 1000 \, \text{mg}
   \]
   \[
   2234 \, \text{mg} = 2.234 \, \text{g}
   \]

### Final Answer:
The lethal dosage of aspirin for a 24.63-lb (11.17-kg) toddler is approximately **2.234 grams**.

Would you like more details or have any questions?

### Related Questions:
1. How do different species react to aspirin toxicity, and how does this impact LD50 values?
2. What are the signs of aspirin overdose in toddlers?
3. How is the LD50 for humans estimated based on animal studies?
4. What factors could influence the toxicity of aspirin in individuals?
5. What are the safety guidelines for aspirin dosage in children?

### Tip:
Always store medications like aspirin out of the reach of children to prevent accidental ingestion, as small amounts can be dangerous for toddlers.

Learn how to calculate the lethal dosage of aspirin for a 24.63-lb toddler using the LD50 value of 200 mg/kg (in rats). This step-by-step solution involves unit conversion, dosage calculation, and proportional reasoning, suitable for high school students (Grades 9-12).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation