The magnitude of uncertainty has to be identified for 317. Concept Introduction: Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Question

1. A student wanted to find the density of an object of unknown composition with a volume of 5.50 0.05 cm³. The mass of the object was 19.255 0.005 g. What is the density of the object, including the absolute uncertainty? a. 3.500 ± 0.3 g cm³ b. 3.500 ± 0.03 g cm? c. 4.259 ± 0,6 g cm¹ d. 4,259 ± 0,06 g cm³

Answer 1

Question

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

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1. A student wanted to find the density of an object of unknown composition with a volume of 5.50 0.05 cm³. The mass of the object was 19.255 0.005 g. What is the density of the object, including the absolute uncertainty? a. 3.500 ± 0.3 g cm³ b. 3.500 ± 0.03 g cm? c. 4.259 ± 0,6 g cm¹ d. 4,259 ± 0,06 g cm³

A measurement of the mass of a specimen was determined to be 4.203 +- 0.001 g. What is fractional uncertainty of mass? A 0.1 B 0.01 C 0.0001 D 0.002

8. A method of analysis yields masses of gold that are low by 0.4 mg. Calculate the percent relative error caused by this result if the mass of gold in the sample isa. 500 mg. b. 50 mg. c. 150 mg.d. 70 mg.

Answer 2

Question

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

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Answer 3

Question

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

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Answer 4

Question

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

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Answer 5

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 6

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 7

Chapter 2, Problem 2.20EP

(a)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 317.0.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 10

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 11

(c)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 3.170.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 12

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 13

(d)

Interpretation Introduction

Interpretation:

The magnitude of uncertainty has to be identified for 0.0317.

Concept Introduction:

Whenever a measurement is made, there is always a degree of uncertainty or error. For example, when an object is measured with a scale having graduations in centimeter, and if the length of the object falls between 5 and 6, the estimated length would be 5.2 cm. But this value is approximate. This is called the uncertainty error. If the same scale is graduated in tenths of a centimeter, the measurement made would be with less degree of uncertainty. Hence if the markings become smaller lesser is the degree of uncertainty. The magnitude of measurement and uncertainty of measurement are the two most important information to be conveyed in order to show case the values more exact. The significant figures any measurements are said to convey the uncertainty, while the digit values convey the magnitude.

Answer 14

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Answer 25

Ch. 2.1 - Prob. 1QQ Ch. 2.1 - Preference by scientists for metric system unit...Ch. 2.2 - In which of the following pairings of metric...Ch. 2.2 - In which of the following sequences are the metric...Ch. 2.2 - Which of the following is a correct pairing of...Ch. 2.2 - Prob. 4QQ Ch. 2.2 - Prob. 5QQ Ch. 2.2 - Prob. 6QQ Ch. 2.2 - Prob. 7QQ Ch. 2.3 - Prob. 1QQ

Chapter 2 Solutions