Two students determine the percentage of iron in a sample as a laboratory exercise. The true percentage is 34.43%. The students’ results for three determinations are as follows: 1. 34.44, 34.41, 34.46 2. 34.51, 34.56, 34.48 b. Precision can be judged by examining the average of the deviations from the average value for that data set. (Calculate the average value for each data set; then calculate the average value of the absolute deviations of each measurement from the average.) Which set is more precise?
Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 74g
What type of quantity (for example, length, volume, density) do the following units indicate? g. K
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Identify the units given in the problem: g and K.
Recognize that 'g' stands for grams, which is a unit of mass.
Recognize that 'K' stands for Kelvin, which is a unit of temperature.
Understand that the combination of these units, g.K, is not a standard unit for a common physical quantity.
Consider that g.K could be used in specific contexts, such as in thermodynamic calculations, but it does not directly indicate a standard quantity like length, volume, or density.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Units of Measurement
Units of measurement are standardized quantities used to express physical properties. They provide a way to quantify and compare different attributes, such as length, mass, volume, and temperature. Understanding the context of these units is essential for interpreting scientific data accurately.
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Mass and Temperature Units
The unit 'g' stands for grams, a metric unit of mass, while 'K' represents Kelvin, a unit of temperature. Grams measure the amount of matter in an object, whereas Kelvin is used to express absolute temperature, starting from absolute zero. Recognizing these units helps in identifying the type of physical quantity being measured.
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Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert one type of unit into another and to check the consistency of equations. By analyzing the dimensions of the quantities involved, one can determine relationships between different physical properties. This concept is crucial for understanding how different units relate to each other in scientific contexts.
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