Solution Manual for Principles and Practice of Physics, 1st Edition

Get detailed solutions to your textbook questions with Solution Manual for Principles and Practice of Physics, 1st Edition, a guide designed to make studying easier.

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1-1FOUNDATIONS1Solutions to Developing a Feel Questions, Guided Problems,and Questions and ProblemsDeveloping a Feel1.210m2.210m3.210m4.1210m5.3106.310kg7.410kg8.1310kg9.510kg10.111011.91012.510Guided Problems1.2 Solar oxygen1.Getting StartedMuch of the plan used in Worked Problem 1.1 can be used here. We wish to use the volume ofthe sun and the percent of the Sun that is made up of oxygen to calculate the mass density and number density ofoxygen atoms. As before we assume the Sun is a perfect sphere.2.Devise PlanAs before, we use the mass density/m Vρ=and the number density/.nN V=We will use343VRπ=for the volume of the Sun. We will use the total mass of the Sun and the fraction of that mass that is madeup of oxygen to calculate the mass of oxygen in the Sun. We will divide by volume to get the mass density. Then,one need only divide by the mass of a single oxygen atom to convert from mass density to number density.3.Execute PlanFirst, the mass density is given byoxygenSun33SunSun30383(0.00970)4433(0.00970)(1.9910kg)13.7 kg/m4(6.9610 m)3mmMVRRρππρπ===×==×We convert from mass density to number density using326326atom13.7 kg/m5.1410atoms/m2.6610kg/atomnmρ===××4.Evaluate ResultThe calculated mass density of oxygen is approximately two orders of magnitude smaller thanthe mass density of hydrogen calculated in Worked Problem 1.1. This is what we expect, because the oxygenaccounts for only about 1% of the mass of the Sun and hydrogen makes up approximately 70%. Since the oxygenaccounts for two orders of magnitude less mass, it is perfectly sensible that the mass density of oxygen would also betwo orders of magnitude smaller. Similarly, the number density of oxygen is about three orders of magnitude smallerthan the number density of hydrogen. If the only issue were the relative percentages of the Sun’s mass made up byoxygen and hydrogen, we would expect a difference of only two orders of magnitude. However, oxygen is also much

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