/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 105 Consider a sample of calcium car... [FREE SOLUTION] | 91影视

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Chapter 3: Problem 105

Consider a sample of calcium carbonate in the form of a cube measuring 2.005 in. on each edge. If the sample has a density of \(2.71 \mathrm{~g} / \mathrm{cm}^{3},\) how many oxygen atoms does it contain?

Short Answer

Expert verified
The calcium carbonate cube contains approximately 6.46 脳 10虏鈦� oxygen atoms.

Step by step solution

01

Calculate the volume of the cube in cm鲁

To find the volume, use the formula for the volume of a cube: \( Volume = edge^3 \). First, convert the edge length from inches to centimeters (1 inch = 2.54 cm) Edge length (in cm) = 2.005 in 脳 2.54 cm/in 鈮� 5.0927 cm Now, compute the volume: Volume = (5.0927 cm)鲁 鈮� 132.1424 cm鲁
02

Calculate the mass of the cube

Next, calculate the mass of the sample with the given density: Density = Mass / Volume Rearrange to find mass: Mass = Density 脳 Volume Mass 鈮� 2.71 g/cm鲁 脳 132.1424 cm鲁 鈮� 358.0658 g
03

Calculate the number of moles of calcium carbonate

To convert from mass to moles of calcium carbonate, use its molar mass of CaCO鈧� = 40.08 g/mol (Ca) + 12.01 g/mol (C) + 16.00 g/mol 脳 3 (O) 鈮� 100.09 g/mol: Moles of CaCO鈧� = Mass of CaCO鈧� / Molar Mass Moles of CaCO鈧� 鈮� 358.0658 g / 100.09 g/mol 鈮� 3.5764 mol
04

Calculate the number of moles of oxygen

In one mole of calcium carbonate, there are 3 moles of oxygen atoms: Moles of O = 3 脳 Moles of CaCO鈧� Moles of O 鈮� 3 脳 3.5764 mol 鈮� 10.7292 mol
05

Calculate the number of oxygen atoms

Use Avogadro's number to find the number of oxygen atoms: Number of Oxygen atoms = Moles of oxygen 脳 Avogadro's number Number of Oxygen atoms 鈮� 10.7292 mol 脳 6.022 脳 10虏鲁 atoms/mol 鈮� 6.46 脳 10虏鈦� oxygen atoms Therefore, the calcium carbonate cube contains approximately 6.46 脳 10虏鈦� oxygen atoms.

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Most popular questions from this chapter

Propenoic acid, as shown here, is a reactive organic liquid used in the manufacture of plastics, coatings, and adhesives. An unlabeled container is thought to contain this acid. A 0.2033 -g sample is combusted in an apparatus such as that shown in Figure \(3.14 .\) The gain in mass of the \(\mathrm{H}_{2} \mathrm{O}\) absorber is \(0.102 \mathrm{~g},\) whereas that of the \(\mathrm{CO}_{2}\) absorber is \(0.374 \mathrm{~g}\). Is this analysis consistent with the contents of the container being propenoic acid?

(a) What is Avogadro's number, and how is it related to the mole? (b) What is the relationship between the formula weight of a substance and its molar mass?

Determine the formula weights of each of the following compounds: (a) nitrous oxide, \(\mathrm{N}_{2} \mathrm{O},\) known as laughing gas and used as an anesthetic in dentistry; (b) benzoic acid, \(\mathrm{HC}_{7} \mathrm{H}_{5} \mathrm{O}_{2}\), a substance used as a food preservative; (c) \(\mathrm{Mg}(\mathrm{OH})_{2}\), the active ingredient in milk of magnesia; (d) urea, \(\left(\mathrm{NH}_{2}\right)_{2} \mathrm{CO}, \mathrm{a}\) compound used as a nitrogen fertilizer; (e) isopentyl acetate, \(\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{C}_{5} \mathrm{H}_{11}\), responsible for the odor of bananas.

Write a balanced chemical equation for the reaction that occurs when (a) \(\mathrm{Mg}(s)\) reacts with \(\mathrm{Cl}_{2}(g) ;\) (b) barium carbonate decomposes into barium oxide and carbon dioxide gas when heated; \((\mathbf{c})\) the hydrocarbon styrene, \(\mathrm{C}_{8} \mathrm{H}_{8}(l)\), is combusted in air; (d) dimethylether, \(\mathrm{CH}_{3} \mathrm{OCH}_{3}(g)\), is combusted in air.

Write a balanced chemical equation for the reaction that occurs when (a) calcium metal undergoes a combination reaction with \(\mathrm{O}_{2}(g) ;\) (b) copper(II) hydroxide decomposes into copper(II) oxide and water when heated; (c) heptane, \(\mathrm{C}_{7} \mathrm{H}_{16}(l),\) burns in air; (d) methyl tert-butyl ether, \(\mathrm{C}_{5} \mathrm{H}_{12} \mathrm{O}(l)\) burns in air.
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