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Ibuprofen is the active ingredient in one of the “non-aspirin” pain relievers. R

ID: 277528 • Letter: I

Question

Ibuprofen is the active ingredient in one of the “non-aspirin” pain relievers. Regular strength tablets contain 200 mg of ibuprofen. How many tablets would be toxic to half the population of 70 kg humans (assuming the rat oral LD50 values apply to humans)? Show your calculation. Regular strength aspirin contains 325 mg of aspirin. If the oral LD50 for rats for aspirin is 200 mg/kg, assuming the rat oral LD50 values apply to humans what is the oral LD50 for rats for a 70 kg human, how many tablets would be toxic to half the population of 70 kg human)? Show your calculations. Which one would you consider to be a safer pain reliever, ibuprofen or aspirin? In other words, which pain reliever is less likely to overdose? Use specific data to defend your claims. Note: To estimate the oral LD50 value (in g) for 70 kg humans using the oral LD50 values for rats, multiply the oral LD50 value (in mg) for rats by 70 and then covert the result to grams.

Explanation / Answer

Part A

Ibuprofen

Aspirin

Determination of LD50 for humans

LD50 rats = 636mg/Kg body weight

Weight of average human = 70Kg

Therefore, LD50 for humans

= (70 * 636)

= 25440mg

LD50 rats = 200mg/Kg body weight

Weight of average human = 70Kg

Therefore, LD50 for humans

= (70 * 200)

= 14000mg

Part A

Ibuprofen

Aspirin

Determination of number of tablets to reach the lethal dose

Lethal dosage = 25440mg

Amount of drug in 1 tablet = 200mg

Number of tablets required in order to consume lethal dosage

= (25440)/(200)

= 127 tablets

Lethal dosage = 14000mg

Amount of drug in 1 tablet = 325mg

Number of tablets required in order to consume lethal dosage

= (14000)/(325)

= 43 tablets

Conclusion

Humans are more likely to overdose on Aspirin tablets, and less likely to overdose on Ibuprofen tablets.

Part A

Ibuprofen

Aspirin

Determination of LD50 for humans

LD50 rats = 636mg/Kg body weight

Weight of average human = 70Kg

Therefore, LD50 for humans

= (70 * 636)

= 25440mg

LD50 rats = 200mg/Kg body weight

Weight of average human = 70Kg

Therefore, LD50 for humans

= (70 * 200)

= 14000mg

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