Chapter 1: Problem 17
A hydrogen atom is about \(0.1 \mathrm{nm}\) in diameter. How many hydrogen atoms lined up side by side would make a line \(1 \mathrm{cm}\) long?
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Chapter 1: Problem 17
A hydrogen atom is about \(0.1 \mathrm{nm}\) in diameter. How many hydrogen atoms lined up side by side would make a line \(1 \mathrm{cm}\) long?
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Express the following with appropriate units and significant figures: (a) \(1.0 \mathrm{m}\) plus \(1 \mathrm{mm},\) (b) \(1.0 \mathrm{m}\) times \(1 \mathrm{mm},\) (c) \(1.0 \mathrm{m}\) minus \(999 \mathrm{mm},\) and (d) \(1.0 \mathrm{m}\) divided by \(999 \mathrm{mm}\)
In the 1908 London Olympics, the intended 26 -mile marathon was extended 385 yards to put the end in front of the royal reviewing stand. This distance subsequently became standard. What's the marathon distance in kilometers, to the nearest meter?
Add \(1.46 \mathrm{m}\) and \(2.3 \mathrm{cm} .\)
The volume of a sphere is given by \(V=\frac{4}{3} \pi r^{3},\) where \(r\) is the sphere's radius. For solid spheres with the same density-made, for example, from the same material-mass is proportional to volume. The table below lists measures of diameter and mass for different steel balls. (a) Determine a quantity which, when you plot mass against it, should yield a straight line. (b) Make your plot, establish a best-fit line, and determine its slope (which in this case is proportional to the spheres' density). $$\begin{array}{|l|c|c|c|c|c|} \hline \text { Diameter }(\mathrm{cm}) & 0.75 & 1.00 & 1.54 & 2.16 & 2.54 \\ \hline \text { Mass }(\mathrm{g}) & 1.81 & 3.95 & 15.8 & 38.6 & 68.2 \\ \hline \end{array}$$
Write \(1 / x\) as \(x\) to some power.
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