A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in g/cm3?
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 71a
Ethylene glycol (antifreeze) has a density of 1.11 g>cm3. a. What is the mass in g of 226 mL of ethylene glycol? b. What is the volume in L of 4.2 kg of ethylene glycol?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Density
Density is defined as the mass of a substance per unit volume, typically expressed in grams per cubic centimeter (g/cm³) or kilograms per liter (kg/L). It is a crucial property that helps in determining how much mass is contained in a given volume of a substance. In this question, the density of ethylene glycol is used to calculate the mass from a known volume and vice versa.
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Mass-Volume Relationship
The mass-volume relationship is a fundamental concept in chemistry that describes how mass and volume are interrelated through density. The formula used is mass = density × volume. This relationship allows for the conversion between mass and volume when the density of a substance is known, which is essential for solving the parts of the question regarding ethylene glycol.
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Relationship of Volume and Moles Example
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it is necessary to convert between milliliters (mL) and liters (L) as well as between grams (g) and kilograms (kg). Understanding how to perform these conversions is vital for accurately answering the question and ensuring that all measurements are in compatible units.
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Related Practice
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Textbook Question
Ethylene glycol (antifreeze) has a density of 1.11 g>cm3. a. What is the mass in g of 226 mL of ethylene glycol? b. What is the volume in L of 4.2 kg of ethylene glycol?
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A small airplane takes on 245 L of fuel. If the density of the fuel is 0.821 g/mL, what mass of fuel has the airplane taken on?
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