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Ch.2 Chemistry and Measurements
Timberlake - Chemistry: An Introduction to General, Organic, and Biological Chemistry 13th Edition
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353Not the one you use?Change textbook
All textbooksTimberlake 13th EditionCh.2 Chemistry and MeasurementsProblem 62a
Chapter 2, Problem 62a

Solve each of the following problems using one or more conversion factors:
a. Wine is 12% alcohol by volume. How many milliliters of alcohol are in a 0.750-L bottle of wine?

Verified step by step guidance
1
Step 1: Understand the problem. The wine is 12% alcohol by volume, meaning 12 mL of alcohol is present in every 100 mL of wine. You are tasked with finding the volume of alcohol in a 0.750-L bottle of wine.
Step 2: Convert the volume of wine from liters to milliliters. Use the conversion factor: 1 L = 1000 mL. Multiply 0.750 L by 1000 mL/L to express the wine volume in milliliters.
Step 3: Set up the proportion to calculate the volume of alcohol. Use the given percentage (12% alcohol by volume) as a conversion factor: 12 mL alcohol / 100 mL wine. Multiply the total volume of wine (from Step 2) by this conversion factor.
Step 4: Perform dimensional analysis to ensure units cancel appropriately. The milliliters of wine will cancel, leaving milliliters of alcohol as the final unit.
Step 5: Write the final expression for calculation: (Volume of wine in mL) × (12 mL alcohol / 100 mL wine). This will give the volume of alcohol in milliliters.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Alcohol by Volume (ABV)

Alcohol by Volume (ABV) is a standard measure used worldwide to quantify the amount of alcohol (ethanol) contained in an alcoholic beverage. It is expressed as a percentage, indicating the volume of alcohol per 100 milliliters of the beverage. For example, a wine with 12% ABV contains 12 milliliters of alcohol in every 100 milliliters of wine.
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Volume Conversion

Volume conversion involves changing a measurement from one unit to another, such as liters to milliliters. In this context, it is essential to know that 1 liter equals 1,000 milliliters. This conversion is crucial for accurately calculating the amount of alcohol in a given volume of wine, as the problem specifies the wine's volume in liters.
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Calculation of Alcohol Content

To calculate the alcohol content in a beverage, you multiply the total volume of the beverage by the percentage of alcohol by volume (ABV). In this case, to find the milliliters of alcohol in a 0.750-L bottle of wine with 12% ABV, you would convert the volume to milliliters and then apply the formula: (total volume in mL) x (ABV) = volume of alcohol in mL.
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Related Practice
Textbook Question

Solve each of the following problems using one or more conversion factors:

b. What is the mass, in kilograms, of a person who weighs 175 lb?

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Textbook Question

Solve each of the following problems using one or more conversion factors:

c. An athlete has 15% body fat by mass. What is the weight of fat, in pounds, of a 74-kg athlete?

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Textbook Question

Solve each of the following problems using one or more conversion factors:

d. A plant fertilizer contains 15% nitrogen (N) by mass. In a container of soluble plant food, there are 10.0 oz of fertilizer. How many grams of nitrogen are in the container?

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Textbook Question

Using conversion factors, solve each of the following clinical problems:

a. You have used 250 L of distilled water for a dialysis patient. How many gallons of water is that?

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Textbook Question

Using conversion factors, solve each of the following clinical problems:

b. A patient needs 0.024 g of a sulfa drug. There are 8-mg tablets in stock. How many tablets should be given?

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Textbook Question

Using conversion factors, solve each of the following clinical problems:

a. The physician has ordered 1.0 g of tetracycline to be given every six hours to a patient. If your stock on hand is 500-mg tablets, how many will you need for one day's treatment?

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