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Ch.2 - Atoms & Elements
Chapter 2, Problem 110

The mass of an average blueberry is 0.75 g and the mass of an automobile is 2.0×103 kg. Find the number of automobiles whose total mass is the same as 1.0 mol of blueberries.

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Key Concepts

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

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For blueberries, the average mass is 0.75 g, which means that one mole of blueberries would weigh 0.75 g multiplied by Avogadro's number (approximately 6.022 x 10^23), allowing us to calculate the total mass of 1.0 mol of blueberries.
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Molar Mass Concept

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, we need to convert the mass of the automobile from kilograms to grams (1 kg = 1000 g) to facilitate a direct comparison with the mass of blueberries, ensuring that both quantities are expressed in the same unit.
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Ratio and Proportion

Ratio and proportion involve comparing two quantities to determine how many times one quantity contains another. In this context, once we have the total mass of 1.0 mol of blueberries and the mass of a single automobile, we can set up a ratio to find out how many automobiles would equal the total mass of the blueberries, allowing us to solve the problem effectively.
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Related Practice
Textbook Question

Carbon-12 contains six protons and six neutrons. The radius of the nucleus is approximately 2.7 fm (femtometers) and the radius of the atom is approximately 70 pm (picometers). What percentage of the carbon atom's volume is occupied by the nucleus? (Assume two significant figures.)

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Textbook Question

A penny has a thickness of approximately 1.0 mm. If you stacked Avogadro's number of pennies one on top of the other on Earth's surface, how far would the stack extend (in km)? [For comparison, the sun is about 150 million km from Earth and the nearest star (Proxima Centauri) is about 40 trillion km from Earth.]

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Textbook Question

Consider the stack of pennies in the previous problem. How much money (in dollars) would this represent? If this money were equally distributed among the world's population of 7.0 billion people, how much would each person receive? Would each person be a millionaire? A billionaire? A trillionaire?

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Open Question
Suppose that atomic masses were based on the assignment of a mass of 12.000 g to 1 mol of carbon, rather than 1 mol of 12C. What would the atomic mass of oxygen be? (The atomic masses of carbon and oxygen, based on the assignment of 12.000 g to 1 mol of 12C, are 12.011 amu and 15.9994 amu, respectively.)
Textbook Question

A pure titanium cube has an edge length of 2.78 in. How many titanium atoms does it contain? Titanium has a density of 4.50 g/cm3.

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Textbook Question

A pure copper sphere has a radius of 0.935 in. How many copper atoms does it contain? [The volume of a sphere is (4/3)πr3 and the density of copper is 8.96 g/cm3.]

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