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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.1 - Introduction: Matter, Energy, and Measurement문제 75d
1장, 문제 75d

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?

검증된 단계별 안내
1
First, determine the value of a single U.S. quarter. As of the problem's context, a quarter is worth \$0.25.
Next, calculate the total number of quarters needed to pay off the debt by dividing the total debt amount, \$16,213,166,914,811, by the value of one quarter, \$0.25.
Once you have the total number of quarters, calculate the total height of the stack of quarters. Since each quarter is 1.55 mm thick, multiply the total number of quarters by 1.55 mm to find the total height in millimeters.
Convert the total height from millimeters to a more manageable unit, such as meters or kilometers, by using the appropriate conversion factors (1 meter = 1000 mm, 1 kilometer = 1000 meters).
Finally, interpret the result to understand the practicality or implications of such a stack, considering its height in the context of real-world distances or structures.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Mass and Volume Calculations

Understanding mass and volume is essential for determining how many quarters would be needed to reach a specific weight. The mass of a single quarter is given, and knowing the total debt allows for calculations based on the mass of the quarters to find the total number required.
추천 영상:
가이드 코스
03:12
Molar Mass Calculation Example

Unit Conversion

Unit conversion is crucial in this problem, as it may require converting the total debt amount into a weight that can be compared to the mass of the quarters. This involves converting dollars into a weight measurement, typically using the value of the quarter to establish how much debt can be represented by a certain number of quarters.
추천 영상:
가이드 코스
01:56
Conversion Factors

Stack Height and Volume

The thickness of a quarter is important for calculating the total height of a stack of quarters needed to represent the total debt. By multiplying the thickness of a single quarter by the number of quarters, one can determine the overall height of the stack, which provides a tangible sense of the scale of the debt.
추천 영상:
가이드 코스
02:35
Constant-Volume Calorimetry
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교과서 질문

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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교과서 질문

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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