Chemistry for Engineering Students
3rd Edition
ISBN: 9781285199023
Author: Lawrence S. Brown, Tom Holme
Publisher: Cengage Learning
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Chapter 1, Problem 1.88PAE
1.88 Legend has it that Archimedes, a famous scientist of Ancient Greece, was once commanded by the king to determine if a crown he received was pure gold or a gold—silver alloy. He was not allowed, however, to damage the crown (by slicing off a piece, for example). If you were assigned this same task, what would you need to know about both gold and silver, and how would you make a measurement that would tell you if the crown was pure gold?
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You have a piece of gold jewelry that weighs 9 g. Its volume is 0.74 cm3 Assume that the metal is an alloy (a mixture of solids) of gold and silver, which have densities of 19 g/cm3 and 10 g/cm3 respectively. Also assum that there is no change in volume when the pure metals are mixed. The relative amount of gold in an alloy is measured in karats. Pure gold is 24 karats; an alloy of 50% gold is 12 carats. State the proportion of gold in the jewelry in karats.
You just measured a metal cylinder and obtained the following information:
mass = 3.543 g
diameter = 0.53 cm
height = 4.4 cm
Determine the volume (V) and density of the cylinder. (V=nr2 h, where r = radius, h = height, π = 3.14)
S
A Volume of the cylinder = 0.87 cm3; density of the cylinder = 3.7 g/cm3
B Volume of the cylinder = 0.97 cm3; density of the cylinder = 2.7 g/cm3
C None of the above have both the volume and density correctly reported
E
Volume of the cylinder = 0.97 cm3; density of the cylinder = 3.7 g/cm3
Volume of the cylinder = 0.87 cm3; density of the cylinder = 2.7 g/cm3
A brick of a certain metal has area on top of 2.15 cm x 5.24 cm. It has mass 1,036 g. How high is the brick in cm? The metal has
density of 2.7 g/cm3
2.54 cm = 1 inch
Ixhxw V
V = m/d
You need to combine the above equations; this is a typical math skill you need in chemistry.
You need to write your answer in the box with one number past the decimal.
Please don't worry about the sig figs in this case--in these formula problems, the Canvas software will give a variety of questions and
each student gets their data with different sig figs. So I just have to choose and sometimes it might seem that one past the decimal is
not the correct sig figs. Nonetheless, you have to follow that direction. For the same reason, your brick may seem to be odd shaped--
please don't worry about it.
Chapter 1 Solutions
Chemistry for Engineering Students
Ch. 1 - Prob. 1COCh. 1 - Prob. 2COCh. 1 - Draw pictures to illustrate simple chemical...Ch. 1 - Explain the difference between inductive and...Ch. 1 - Use appropriate techniques to convert measurements...Ch. 1 - Express the results of calculations using the...Ch. 1 - Use the web to determine the mass of a steel...Ch. 1 - Prob. 1.2PAECh. 1 - Where does the scientific method start? What is...Ch. 1 - Use the web to determine the amount of aluminum...
Ch. 1 - Use the web to find current prices offered for...Ch. 1 - Use the web to determine the differences in the...Ch. 1 - When we make observations in the laboratory, which...Ch. 1 - Which of the following items are matter and which...Ch. 1 - Which macroscopic characteristics differentiate...Ch. 1 - How can a liquid be distinguished from a fine...Ch. 1 - Some farmers use ammonia, NHS, as a fertilizer....Ch. 1 - 1.10 Do the terms element and atom mean the same...Ch. 1 - 1.11 Label each of the following as either a...Ch. 1 - 1.12 Why do physical properties play a role in...Ch. 1 - 1.13 Physical properties may change because of a...Ch. 1 - 1.14 Which part of the following descriptions of a...Ch. 1 - Use a molecular level description to explain why...Ch. 1 - All molecules attract each other to some extent,...Ch. 1 - 1.15 We used the example of attendance at a...Ch. 1 - 1.16 Complete the following statement: Data that...Ch. 1 - 1.17 Complete the following statement: Data that...Ch. 1 - 1.18 Two golfers are practicing shots around a...Ch. 1 - Prob. 1.23PAECh. 1 - 1.20 Suppose that you are waiting at a corner for...Ch. 1 - 1.21 When a scientist looks at an experiment and...Ch. 1 - 1.22 What is the difference between a hypothesis...Ch. 1 - 1.23 Should the words theory and model be used...Ch. 1 - 1.24 What is a law of nature? Are all scientific...Ch. 1 - 1.25 Describe a miscommunication that can arise...Ch. 1 - 1.26 What is the difference between a qualitative...Ch. 1 - 1.27 Identify which of the following units are...Ch. 1 - 1.28 What is a “derived” unit?Ch. 1 - 1.29 Rank the following prefixes in order of...Ch. 1 - 1.30 The largest computers now include disk...Ch. 1 - Prob. 1.35PAECh. 1 - 1.32 Use the web to determine how the Btu was...Ch. 1 - 1.33 How many micrograms are equal to one gram?Ch. 1 - 1.34 Convert the value 0.120 ppb into ppm.Ch. 1 - 1.35 How was the Fahrenheit temperature scale...Ch. 1 - Superconductors are materials that have no...Ch. 1 - 1.37 Express each of the following temperatures in...Ch. 1 - 1.38 Express (a) 275 oC in K, (b) 25.55 K in oC,...Ch. 1 - 1.39 Express each of the following numbers in...Ch. 1 - 1.40 How many significant figures are there in...Ch. 1 - 1.41 How many significant figures are present in...Ch. 1 - Perform these calculations and express the result...Ch. 1 - 1.43 Calculate the following to the correct number...Ch. 1 - 1.44 In an attempt to determine the velocity of a...Ch. 1 - 1.45 A student finds that the mass of an object is...Ch. 1 - 1.46 Measurements indicate that 23.6% of the...Ch. 1 - 1.47 A student weighs 10 quarters and finds that...Ch. 1 - 1.48 A rock is placed on a balance and its mass is...Ch. 1 - 1.49 A package of eight apples has a mass of 1.00...Ch. 1 - Prob. 1.54PAECh. 1 - 1.51 A person measures 173 cm in height. What is...Ch. 1 - 1.52 The distance between two atoms in a molecule...Ch. 1 - 1.53 Carry out the following unit conversions. (a)...Ch. 1 - 1.54 Carry out each of the following conversions....Ch. 1 - 1.55 Convert 22.3 mL to (a) liters, (b) cubic...Ch. 1 - 1.56 If a vehicle is travelling 92 m/s, what is...Ch. 1 - 1.57 A load of asphalt weights 245 lb. and...Ch. 1 - 1.58 One square mile contains exactly 640 acres....Ch. 1 - 1.59 A sample of crude oil has a density of 0.87...Ch. 1 - 1.60 Mercury has a density of 13.6 g/mL. What is...Ch. 1 - 1.61 The area of the 48 contiguous states is...Ch. 1 - 1.62 The dimensions of aluminium foil in a box for...Ch. 1 - Prob. 1.67PAECh. 1 - 1.64 Wire is often sold in pound spools according...Ch. 1 - 1.65 An industrial engineer is designing a process...Ch. 1 - 1.66 An engineer is working with archaeologists to...Ch. 1 - Draw a molecular scale picture to show how a...Ch. 1 - Prob. 1.72PAECh. 1 - 1.67 On average, Earth’s crust contains about 8.1...Ch. 1 - Prob. 1.74PAECh. 1 - 1.69 The “Western Stone” in Jerusalem is one of...Ch. 1 - A load of bauxite has a density of 3.15 g/cm3. If...Ch. 1 - Prob. 1.77PAECh. 1 - Prob. 1.78PAECh. 1 - Prob. 1.79PAECh. 1 - Prob. 1.80PAECh. 1 - Prob. 1.81PAECh. 1 - Use the web to research the elastic modulus and...Ch. 1 - Prob. 1.83PAECh. 1 - 1.84 A student was given two metal cubes that...Ch. 1 - 1.85 Battery acid has a density of 1.285 g/mL and...Ch. 1 - 1.86 Unfermented grape juice used to make wine is...Ch. 1 - 1.87 A solution of ethanol in water has a volume...Ch. 1 - 1.88 Legend has it that Archimedes, a famous...Ch. 1 - 1.89 Imagine that you place a cork measuring...Ch. 1 - 1.90 A calibrated flask was filled to the 25.00-mL...
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