For a person weighing 70 kg the minimal volume (in mL) of a fatal dose of a compound with LD₅₀ = 80 mg.kg^-1, and density = 1.45 g.mL^-1 is

Concept:

• Fatal dose of a compound/drug represents the toxicity 
• It is the dose intake at which a certain given percentage of subjects  will die.
• LD₅₀ represents the fatal dose of 50%.

Explanation:

• As per the question, fatal dose for 50% of subjects death is 80mg per Kg 

For a subject weighing 70 Kg, amount of drug to be taken will be: \(80mgKg^{-1} \times70\;Kg = 5600mg \)

\(=5.6g\)

Density of drug = 1.45 gmL^-1

Volume of fatal dose = \(\frac{5.6\;g}{1.45\;g.mL^{-1}}\)

Volume of fatal dose = \(= 3.86 mL \)

Conclusion:

Hence, for a person weighing 70 kg the minimal volume (in mL) of a fatal dose of a compound is 3.86mL