Question

In some countries, a person will receive a driving while intoxicated (DWI) ticket if the blood alcohol level (BAL) is $100$ mg per decilitre (dL) of blood or higher. Suppose a person is found to have a BAL of $0.033$ mole of ethanol $\left(C_2{H}_{5}OH\right)$ per litre of blood. Will a person receive a DWI ticket?

Enter $1$ if yes and $2$ if no.

Answer 1

$1$ L corresponds to $10$ dL.
Hence, the BAL of $0.033$ mole/L corresponds to $0.0033$ mole /dL.
The molar mass of ethanol is $46$ g/mol.
Hence, the BAL is $46$ g/mol $\times 0.0033$ mol/dL $=0.1518$ g/dL $=152$ g/dL
This exceeds prescribed limit. Hence, the person receives a DWI ticket.