a blood alcohol level of 80mg per 100cm^3 is the ligal limit for driving. a blood alcohol level of about 200mg alcohol per 100cm^3 of blood produces intoxication and around 400mg per 100cm^3 produces unconciousness. at a blood level above 500mg per 100cm^3,a person may die. a)what is the molar concentration of alcohol,ethanol(C2H5OH) that produces...i)intoxication? ii)unconciusness? iii)death? b)a pint of beer contains about 16g ethanol and the distribution volume for a 70kg man is 40dm^3. i)how many pints of beer can he drink before he reaches the ligal limit for driving? ii)if untoxicated,how many pints of beer will he have consumed? iii)if unconcious,how many pints of beer will he have consumed?? thanks
a) I) Intoxication:
We have 200 mg alcohol per 100 ml of blood
Which is 0.2 grams per 100 ml of blood
0.2 g (1 mole / 46.069 g)
= 0.00434 moles ethanol per 100 ml blood
to convert this to molarity,
(0.00434 moles x 1000 ml) / 100 ml
= 0.0434 Molar solution
So, 0.0434 Molar solution causes intoxication
ii) Unconsciousness
which is essentially double of the amount caused for intoxication 0.0868 Molar solution
0.4 g (1 mole / 46.069 g)
= 0.00868 moles
(0.00868 moles x 1000 ml) / 100 ml
= 0.0868 Molar solution
iii) Death
0.5 g (1 mole / 46.069 g)
= 0.0108 moles
= (0.0108 moles x 1000 ml) / 100 ml
= 0.108 Molar solution of ethanol can cause death
b)
16 g (1 mole / 46.069 g)
= 0.347 moles
0.347 moles distributed in 40 liters is 0.008675 Molar solution
i) Legally allowed limit is 0.017 Molar solution
So, 1.96 pints of beer is a legally allowable limit
ii) If he is intoxicated, he must have consumed 5 pints of beer
iii) If he is unconscious, he must have consumed 10 pints of beer
is this whole thing right???i am totally fed up