Question

In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L, what volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Answer 1

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

$\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%$

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

$0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100$

$\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}$

$\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}$

$\text{Vol}_{\text{Alcohol}}=5$

Therefore, the required volume is 5 ml.