volume (in mL) of whiskey would raise his blood alcohol level to 8.0x10⁻⁴ g/mL is 23×10⁵ml
According to question
Eighty proof whiskey is 40% ethanol (C₂H₅OH) by volume
Now,
Let the volume of whiskey be 100ml,then 40ml ethanol is present.
Now,
whiskey consumed by the person = 28ml
Hence volume of ethanol= 28 ×[tex]\frac{40}{100}[/tex] ml of ethanol
= 11.2 ml of ethanol
Now 22% of the consumed ethanol goes into blood.
Hence,
volume of the consumed ethanol going into the blood is = 11.2×[tex]\frac{22}{100}[/tex]
= 2.5ml of ethanol
Now,
Volume of ethanol required to raise his level by 8×10⁻⁴[tex]\frac{g}{ml}[/tex] is
volume = 46.06/ 8×10⁻⁴ ml of ethanol
Hence,
volume of ethanol = 5.75 × 10⁴ml
Now,
2.5 ml of ethanol consumed by blood have whiskey= 100ml
Hence,
5.75 × 10⁴ml of ethanol consumed by blood having whiskey = [tex]\frac{100}{2.5}[/tex]×5.75 × 10⁴
Hence,
Volume of whiskey = 23×10⁵ml
From the above conclusion we can say that , volume (in mL) of whiskey would raise his blood alcohol level to 8.0x10⁻⁴ g/mL is 23×10⁵ml
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