Chapter 1: Problem 74
Define the following terms: solid, liquid, gas, pure substance, element, compound, homogeneous mixture, heterogeneous mixture, solution, chemical change, physical change.
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Chapter 1: Problem 74
Define the following terms: solid, liquid, gas, pure substance, element, compound, homogeneous mixture, heterogeneous mixture, solution, chemical change, physical change.
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Ethylene glycol is the main component in automobile antifreeze. To monitor the temperature of an auto cooling system, you intend to use a meter that reads from 0 to 100 . You devise a new temperature scale based on the approximate melting and boiling points of a typical antifreeze solution \(\left(-45^{\circ} \mathrm{C}\right.\) and \(\left.115^{\circ} \mathrm{C}\right)\). You wish these points to correspond to \(0^{\circ} \mathrm{A}\) and \(100^{\circ} \mathrm{A}\), respectively. a. Derive an expression for converting between \({ }^{\circ} \mathrm{A}\) and \({ }^{\circ} \mathrm{C}\). b. Derive an expression for converting between \({ }^{\circ} \mathrm{F}\) and \({ }^{\circ} \mathrm{A}\). c. At what temperature would your thermometer and a Celsius thermometer give the same numerical reading? d. Your thermometer reads \(86^{\circ} \mathrm{A} .\) What is the temperature in \({ }^{\circ} \mathrm{C}\) and in \({ }^{\circ} \mathrm{F}\) ? e. What is a temperature of \(45^{\circ} \mathrm{C}\) in \({ }^{\circ} \mathrm{A}\) ?
Perform the following mathematical operations, and express the result to the correct number of significant figures. a. \(6.022 \times 10^{23} \times 1.05 \times 10^{2}\) b. \(\frac{6.6262 \times 10^{-34} \times 2.998 \times 10^{8}}{2.54 \times 10^{-9}}\) c. \(1.285 \times 10^{-2}+1.24 \times 10^{-3}+1.879 \times 10^{-1}\) d. \(\frac{(1.00866-1.00728)}{6.02205 \times 10^{2.3}}\) e. \(\frac{9.875 \times 10^{2}-9.795 \times 10^{2}}{9.875 \times 10^{2}} \times 100(100\) is exact) f. \(\frac{9.42 \times 10^{2}+8.234 \times 10^{2}+1.625 \times 10^{3}}{3}(3\) is exact)
You go to a convenience store to buy candy and find the owner to be rather odd. He allows you to buy pieces in multiples of four, and to buy four, you need \(\$ 0.23 .\) He only allows you to do this by using 3 pennies and 2 dimes. You have a bunch of pennies and dimes, and instead of counting them, you decide to weigh them. You have \(636.3 \mathrm{~g}\) of pennies, and each penny weighs \(3.03 \mathrm{~g}\). Each dime weighs \(2.29 \mathrm{~g}\). Each piece of candy weighs \(10.23 \mathrm{~g}\). a. How many pennies do you have? b. How many dimes do you need to buy as much candy as possible? c. How much should all these dimes weigh? d. How many pieces of candy could you buy? (number of dimes from part b) e. How much would this candy weigh? f. How many pieces of candy could you buy with twice as many dimes?
Classify each of the following as a mixture or a pure substance. a. water f. uranium b. blood g. wine c. the oceans h. leather d. iron i. table salt e. brass Of the pure substances, which are elements and which are compounds?
Perform the following unit conversions. a. Congratulations! You and your spouse are the proud parents of a new baby, born while you are studying in a country that uses the metric system. The nurse has informed you that the baby weighs \(3.91 \mathrm{~kg}\) and measures \(51.4 \mathrm{~cm}\). Convert your baby's weight to pounds and ounces and her length to inches (rounded to the nearest quarter inch). b. The circumference of the earth is \(25,000 \mathrm{mi}\) at the equator. What is the circumference in kilometers? in meters? c. A rectangular solid measures \(1.0 \mathrm{~m}\) by \(5.6 \mathrm{~cm}\) by \(2.1 \mathrm{dm} .\) Express its volume in cubic meters, liters, cubic inches, and cubic feet.
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