Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 38b

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Chapter 1, Problem 38b

(b) An experiment requires 15.0 g of cyclohexane, whose density at 25 C is 0.7781 g>mL. What volume of cyclohexane should be used?

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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 mass per unit volume, typically expressed in grams per milliliter (g/mL) or kilograms per cubic meter (kg/m³). It is a crucial property of substances that helps in determining how much space a given mass of material occupies. In this question, the density of cyclohexane is provided, which allows us to calculate its volume based on the mass given.

Volume Calculation

Volume can be calculated using the formula: Volume = Mass / Density. This relationship shows how mass and density are inversely related; as density increases, the volume for a given mass decreases. In the context of the question, knowing the mass of cyclohexane and its density enables us to find the required volume for the experiment.

Units of Measurement

Understanding units of measurement is essential in chemistry, as it ensures that calculations are accurate and meaningful. In this question, mass is given in grams, density in grams per milliliter, and the resulting volume will be in milliliters. Properly converting and using these units is vital for obtaining the correct volume of cyclohexane needed for the experiment.

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Related Practice

(d) A cubic piece of metal measures 5.00 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm³, what is the mass of the cube?

(a) After the label fell off a bottle containing a clear liquid believed to be benzene, a chemist measured the density of the liquid to verify its identity. A 25.0-mL portion of the liquid had a mass of 21.95 g. A chemistry handbook lists the density of benzene at 15 °C as 0.8787 g/mL. Is the calculated density in agreement with the tabulated value?

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Textbook Question

(c) A spherical ball of lead has a diameter of 5.0 cm. What is the mass of the sphere if lead has a density of 11.34 g>cm3? (The volume of a sphere is 14>32pr3, where r is the radius.)

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Textbook Question

If on a certain year, an estimated amount of 4 million metric tons (1 metric ton = 1000 kg) of nitrous oxide 1N2O2 was emitted worldwide due to agricultural activities, express this mass of N2O in grams without exponential notation, using an appropriate metric prefix.

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Textbook Question

Use of the British thermal unit (Btu) is common in some types of engineering work. A Btu is the amount of heat required to raise the temperature of 1 lb of water by 1°F. Calculate the number of joules in a Btu.

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