Sunday, 27 September 2015

Convoluted Arithmetic

The legal limit for alcohol in a driver's blood is usually stated as 80 milligrams per 100 millilitres.

That means 80/1000 grams in 100/1000 litres

We can simplify by removing the denominators giving:
 80 grams per 100 litres

That is equivalent to 8 grams in 10 litres, or 0.8 grams per litre.

As the specific gravity of alcohol is just under 0.8, 8 grams is about a dessertspoonfull, and 10 litres is just a bit more than the capacity of a normal sized watering can - interpreting 'normal' as the mode.

Thus the alcohol limit is one very full dessertspoon of alcohol in a watering can full of blood.

Stated like that it seems to make more sense.





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