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

Brown - Chemistry: The Central Science 14th Edition

Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo

Brown 14th Edition

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

Problema 75c

Capitolo 1, Problema 75c

The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (c) How much money would this stack contain?

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Determine the volume of a single quarter using its thickness and the formula for the volume of a cylinder: $V = \pi r^2 h$, where $h$ is the thickness and $r$ is the radius.

Calculate the mass of a single quarter, which is given as 5.67 g.

Find the total mass of the stack of quarters by dividing the total mass of the stack by the mass of a single quarter.

Calculate the number of quarters in the stack by dividing the total mass of the stack by the mass of a single quarter.

Determine the total monetary value by multiplying the number of quarters by the value of a single quarter, which is \$0.25.

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Mass and Volume Relationship

Understanding the relationship between mass and volume is crucial in this context. The mass of the quarter is given, and knowing the density of the material can help calculate the volume of a single quarter. This relationship is foundational in determining how many quarters can fit into a given space.

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Percorso guidato

01:09

Relationship of Volume and Moles Example

Stack Height Calculation

To find out how much money a stack of quarters contains, one must calculate the total height of the stack. Given the thickness of a single quarter, the total height can be determined by multiplying the number of quarters by the thickness. This calculation is essential for determining the monetary value of the stack.

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Percorso guidato

02:28

Stoichiometric Rate Calculations

Monetary Value of Quarters

Each U.S. quarter has a fixed monetary value of 25 cents. To find the total amount of money in a stack of quarters, one must multiply the number of quarters by this value. This concept ties together the physical properties of the quarters with their economic value, allowing for a complete answer to the question.

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Percorso guidato

01:56

Gas Constant Values

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In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre is 4840 yd2. An acre-foot is enough water to supply two typical households for 1.00 yr. (a) If desalinated water costs \$1950 per acre-foot, how much does desalinated water cost per liter?

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The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.(d) The U.S. National Debt Clock showed the outstanding public debt to be \$16,213,166,914,811 on October 28, 2012. How many stacks like the one described would be necessary to pay off this debt?

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The distance from Earth to the Moon is approximately 240,000 mi. (d) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.

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Which of the following would you characterize as pure or nearly pure substance? (a) stomach acid; (b) dry ice; (c) ice-cream; (d) stainless steel; (e) petroleum; (f) distilled water; (g) carbon monoxide gas; (h) compressed air in balloon.

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The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (a) How many quarters would have to be stacked to reach 575 ft, the height of the Washington Monument?

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