(b) Three cubes of equal mass are composed of gold (density = 19.32 g/cm3), platinum (density = 21.45 g/cm3), and lead (density = 11.35 g/cm3). List the cubes from smallest to largest.
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 9b
(b) An automobile speedometer with circular scales reading both miles per hour and kilometers per hour is shown. What speed is indicated, in both units? How many significant figures are in the measurements?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Units of Measurement
Understanding units of measurement is crucial in chemistry and physics, as they provide a standard way to quantify physical quantities. In this case, miles per hour (mph) and kilometers per hour (km/h) are both units of speed, allowing for the comparison of rates of motion. Converting between these units may be necessary depending on the context of the problem.
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Significant Figures
Significant figures are the digits in a number that contribute to its precision. This concept is essential in scientific measurements, as it indicates the certainty of the data. When reporting measurements, the number of significant figures reflects the precision of the measuring instrument and the reliability of the data, which is important for accurate scientific communication.
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Conversion Factors
Conversion factors are ratios used to convert one unit of measurement to another. In the context of speed, knowing the conversion factor between miles and kilometers (1 mile ≈ 1.60934 kilometers) allows for accurate translation of speed readings from one unit to another. Mastery of conversion factors is vital for solving problems that involve different measurement systems.
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Related Practice
Textbook Question
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Textbook Question
The three targets from a rifle range shown below were produced by: (A) the instructor firing a newly acquired target rifle; (B) the instructor firing his personal target rifle; and (C) a student who has fired his target rifle only a few times. (b) For the A and C results in the future to look like those in B, what needs to happen?
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Textbook Question
(a) What is the length of the pencil in the following figure if the ruler reads in centimeters? How many significant figures are there in this measurement?
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Textbook Question
(a) How many significant figures should be reported for the volume of the metal bar shown here?
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Textbook Question
Consider the jar of jelly beans in the photo. To get an estimate
of the number of beans in the jar you weigh six beans
and obtain masses of 3.15, 3.12, 2.98, 3.14, 3.02, and 3.09 g.
Then you weigh the jar with all the beans in it, and obtain a
mass of 2082 g. The empty jar has a mass of 653 g. Based on
these data, estimate the number of beans in the jar. Justify
the number of significant figures you use in your estimate.
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Textbook Question
The photo below shows a picture of an agate stone. Jack,
who picked up the stone on the Lake Superior shoreline and
polished it, insists that agate is a chemical compound. Ellen
argues that it cannot be a compound. Discuss the relative
merits of their positions.
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