Chapter 1: Problem 3
Describe the separation method(s) involved in brewing a cup of coffee. [Section 1.3]
Short Answer
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 1: Problem 3
Describe the separation method(s) involved in brewing a cup of coffee. [Section 1.3]
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeThe US quarter has a mass of \(5.67 \mathrm{~g}\) and is approximately \(1.55 \mathrm{~mm}\) thick. (a) How many quarters would have to be stacked to reach \(575 \mathrm{ft},\) the height of the Washington Monument? (b) How much would this stack weigh? (c) How much money would this stack contain? (d) The US National Debt Clock showed the outstanding public debt to be $$\$ 11,687,233,914,811.11$$ on August \(19,2009 .\) How many stacks like the one described would be necessary to pay off this debt?
By using estimation techniques, determine which of the following is the heaviest and which is the lightest: a 5-lb bag of potatoes, a \(5-\mathrm{kg}\) bag of sugar, or 1 gal of water \((\) density \(=1.0 \mathrm{~g} / \mathrm{mL})\)
Silicon for computer chips is grown in large cylinders called "boules" that are \(300 \mathrm{~mm}\) in diameter and \(2 \mathrm{~m}\) in height. The density of silicon is \(2.33 \mathrm{~g} / \mathrm{cm}^{3}\). Silicon wafers for making integrated circuits are sliced from a \(2.0 \mathrm{~m}\) boule and are typically \(0.75 \mathrm{~mm}\) thick and \(300 \mathrm{~mm}\) in diameter. (a) How many wafers can be cut from a single boule? (b) What is the mass of a silicon wafer? (The volume of a cylinder is given by \(\pi r^{2} h\), where \(r\) is the radius and \(h\) is its height.)
(a) Three spheres of equal size are composed of aluminum \(\left(\right.\) density \(\left.=2.70 \mathrm{~g} / \mathrm{cm}^{3}\right),\) silver \(\left(\right.\) density \(\left.=10.49 \mathrm{~g} / \mathrm{cm}^{3}\right),\) and nickel (density \(\left.=8.90 \mathrm{~g} / \mathrm{cm}^{3}\right)\). List the spheres from lightest to (b) Three cubes of equal mass are composed of gold \(\left(\right.\) density \(\left.=19.32 \mathrm{~g} / \mathrm{cm}^{3}\right)\), platinum (density \(\left.=21.45 \mathrm{~g} / \mathrm{cm}^{3}\right)\) and lead (density \(\left.=11.35 \mathrm{~g} / \mathrm{cm}^{3}\right)\). List the cubes from smallest to largest. [Section 1.4]
Give the derived SI units for each of the following quantities in base SI units: (a) acceleration = distance/time \(^{2},\) (b) force \(=\) mass \(\times\) acceleration, \((\mathrm{c})\) work \(=\) force \(\times\) distance, (d) \(\quad\) pressure \(=\) force/area, (e) \(\quad\) power \(=\) work/time, (f) velocity \(=\) distance/time, \((\mathrm{g})\) energy \(=\operatorname{mass} \times(\text { velocity })^{2}\).
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