Question

1. 1412 grams

how many milligrams of acetaminophen would be a lethal dose for a 22 lb child?

c. how many 500 mg tablets of acetaminophen would be a lethal dose for a 22 lb child?

d. how many 500 mg tablets of aspirin would be a lethal dose for a 22 lb child?

1. the ld₅₀ for aspirin is 200 mg/kg (rat, oral).

a. how many milligrams of aspirin would be a lethal dose for a 132 lb adult?
b. how many 500 mg tablets of aspirin would be a lethal dose for a 132 lb adult?
c. how many milligrams of aspirin would be a lethal dose for a 22 lb child?
d. how many 500 mg tablets of aspirin would be a lethal dose for a 22 lb child?

Explanation:

Step1: Define LD₅₀ and given values

LD₅₀ of aspirin = 200 mg/kg

Part a: 132 lb adult

Step1: Convert lbs to kg

1 lb = 0.453592 kg, so $132 \times 0.453592 \approx 60$ kg

Step2: Calculate lethal dose

Dose = LD₅₀ × body weight: $200 \times 60 = 12000$ mg

Part b: 22 lb child, mg dose

Step1: Convert lbs to kg

$22 \times 0.453592 \approx 10$ kg

Step2: Calculate lethal dose

$200 \times 10 = 2000$ mg

Part c: 22 lb child, tablet count

Step1: Set tablet size = 500 mg

Step2: Divide total dose by tablet size

$\frac{2000}{500} = 4$ tablets

Answer:

a. 12000 mg
b. 2000 mg
c. 4 tablets