Chapter 1: Problem 111
Water, a compound, is a substance. Is there any circumstance under which a sample of pure water can exist as a heterogeneous mixture? Explain.
Chapter 1: Problem 111
Water, a compound, is a substance. Is there any circumstance under which a sample of pure water can exist as a heterogeneous mixture? Explain.
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Get started for freeAccording to the rules on significant figures, the product of the measured quantities \(99.9 \mathrm{m}\) and \(1.008 \mathrm{m}\) should be expressed to three significant figures-\(101 \mathrm{m}^{2} .\) Yet, in this case, it would be more appropriate to express the result to four significant figures-\(100.7 \mathrm{m}^{2} .\) Explain why.
Without doing detailed calculations, explain which of the following objects contains the greatest mass of the element iron. (a) \(\mathrm{A} 1.00 \mathrm{kg}\) pile of pure iron filings. (b) A cube of wrought iron, \(5.0 \mathrm{cm}\) on edge. Wrought iron contains \(98.5 \%\) iron by mass and has a density of \(7.7 \mathrm{g} / \mathrm{cm}^{3}\). (c) A square sheet of stainless steel \(0.30 \mathrm{m}\) on edge and \(1.0 \mathrm{mm}\) thick. The stainless steel is an alloy (mixture) containing iron, together with \(18 \%\) chromium, \(8\%\) nickel, and 0.18\% carbon by mass. Its density is \(7.7 \mathrm{g} / \mathrm{cm}^{3}\). (d) \(10.0 \mathrm{L}\) of a solution characterized as follows: \(d=1.295 \mathrm{g} / \mathrm{mL} .\) This solution is \(70.0 \%\) water and \(30.0 \%\) of a compound of iron, by mass. The iron compound consists of \(34.4 \%\) iron by mass.
The total volume of ice in the Antarctic is about \(3.01 \times 10^{7} \mathrm{km}^{3} .\) If all the ice in the Antarctic were to melt completely, estimate the rise, \(h,\) in sea level that would result from the additional liquid water entering the oceans. The densities of ice and fresh water are \(0.92 \mathrm{g} / \mathrm{cm}^{3}\) and \(1.0 \mathrm{g} / \mathrm{cm}^{3},\) respectively. Assume that the oceans of the world cover an area, \(A,\) of about \(3.62 \times 10^{8} \mathrm{km}^{2}\) and that the increase in volume of the oceans can be calculated as \(A \times h\).
To determine the approximate mass of a small spherical shot of copper, the following experiment is performed. When 125 pieces of the shot are counted out and added to \(8.4 \mathrm{mL}\) of water in a graduated cylinder, the total volume becomes \(8.9 \mathrm{mL}\). The density of copper is \(8.92 \mathrm{g} / \mathrm{cm}^{3} .\) Determine the approximate mass of a single piece of shot, assuming that all of the pieces are of the same dimensions.
In the third century \(\mathrm{BC}\), the Greek mathematician Archimedes is said to have discovered an important principle that is useful in density determinations. The story told is that King Hiero of Syracuse (in Sicily) asked Archimedes to verify that an ornate crown made for him by a goldsmith consisted of pure gold and not a gold-silver alloy. Archimedes had to do this, of course, without damaging the crown in any way. Describe how Archimedes did this, or if you don't know the rest of the story, rediscover Archimedes's principle and explain how it can be used to settle the question.
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