some states have reduced the legal limit for alcohol sobriety from 0.10% to 0.08% alcohol by volume in blood plasma.

a) how many mL of alcohol are in 3.0 qt of blood plasma at the lower legal limit?
b)how many lL of alchol are in 3.0 qt of blood plasma at the higher legal limit?
c) how much less alcohol is in a 3.0 qt of blood plasma with the reduced sobriety level?

To answer these questions, we need to calculate the amount of alcohol in 3.0 quarts (qt) of blood plasma at both the lower and higher legal limits. Let's start by converting quarts to milliliters and liters.

1 quart (qt) = 946.353 milliliters (mL)
1 liter (L) = 1000 milliliters (mL)

a) How many mL of alcohol are in 3.0 qt of blood plasma at the lower legal limit (0.08% ABV)?

First, we need to determine the alcohol content (in mL) at the lower legal limit. Since the limit is 0.08% alcohol by volume (ABV), we have:

0.08% ABV = 0.08 mL of alcohol per 100 mL of blood plasma

Now, let's calculate the amount of alcohol in 3.0 qt (qt to mL conversion):

3.0 qt * 946.353 mL/qt = 2839.059 mL

Finally, we can determine the amount of alcohol at the lower legal limit:

2839.059 mL * (0.08 mL alcohol / 100 mL blood plasma) = 2.271 ml of alcohol

Therefore, there are approximately 2.271 mL of alcohol in 3.0 qt of blood plasma at the lower legal limit.

b) How many L of alcohol are in 3.0 qt of blood plasma at the higher legal limit (0.10% ABV)?

Using a similar approach, we can calculate the amount of alcohol in 3.0 qt of blood plasma at the higher legal limit (0.10% ABV):

0.10% ABV = 0.10 mL of alcohol per 100 mL of blood plasma

Converting 3.0 qt to milliliters:

3.0 qt * 946.353 mL/qt = 2839.059 mL

Converting mL to liters:

2839.059 mL / 1000 mL/L = 2.839 L

Finally, calculating the amount of alcohol at the higher legal limit:

2.839 L * (0.10 mL alcohol / 100 mL blood plasma) = 0.002839 L of alcohol

Therefore, there are approximately 0.002839 L of alcohol in 3.0 qt of blood plasma at the higher legal limit.

c) How much less alcohol is in 3.0 qt of blood plasma with the reduced sobriety level?

To calculate the difference in alcohol amount between the lower and higher legal limits, we subtract the amount of alcohol in 3.0 qt at the lower limit from the amount at the higher limit:

0.002839 L - 2.271 mL = -2.269161 L of alcohol

Therefore, there is approximately 2.269161 L less alcohol in 3.0 qt of blood plasma at the reduced sobriety level.