The given question is incomplete, the complete question is:
The LD50 value for ethyl alcohol given orally to rats is 10.3 g/kg. What volume in milliliters of 100 proof vodka (50% v/v ethanol) would be likely to kill a typical 360-g rat?
Answer:
The correct answer is 9.4 ml.
Explanation:
Based on the given information, in rats the LD50 of ethyl alcohol is 10.3 g/kg.
As 1 Kg is 1000 grams
Now the value of LD50 of ethyl alcohol in rats is 10.3 grams/ 1000 grams
The volume of the lethal dose of vodka for a 360 gram rat would be,
= 360 g × (10.3 g/1000 g)
= 3708 × 10⁻³ g
= 3.708 g
Now the volume of vodka can be determined by using the formula,
V = mass/density
The density of ethanol is 0.789 g/ml
The volume would be,
V = 3.708 g/0.789 g/ml
V = 4.70 ml
As 50 percent of Vodka is ethanol, the volume of vodka needed to kill a rat is,
= 2 × Volume of ethanol
= 2 × 4.70 g/ml
= 9.4 ml
