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MasterPhysics 3 soln

# MasterPhysics 3 soln - PHYS-408 Fall 2008 Mastering Physics...

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PHYS-408 Fall 2008 Mastering Physics Assignment #3 Solutions Problem 16.8 An element in its solid phase has mass density 1750 (kg)/m 3 and number density 4.39 * 10 28 (atoms)/ m 3 . (a) What is the element's atomic mass number? If we have one meter cubed of the element, then there would be 4.39 × 10 28 atoms. The number of moles would then be n = 4.39 × 10 28 N A = 4.39 × 10 28 6.02 × 10 23 / mol = 72924 mol This would mass 1750 kg , so the mass of one mole would be 1750 kg 72924 mol = 0.024 kg = 24 g so A = 24 . Problem 16.18 A gas at 100 degree(s) C fills volume V 0 . (a) If the pressure is held constant, what is the volume if the Celsius temperature is doubled? This is a simple application of the ideal gas law. pV = nRT V T = nR p = constant so V 0 T 0 = V 1 T 1 Of course, the temperatures have to be in Kelvins, so T 0 = 100 o C = 373 K T 1 = 200 o C = 473 K so V 1 V 0 = T 1 T 0 = 473 K 373 K = 1.27 (b) If the pressure is held constant, what is the volume if the Kelvin temperature is doubled? Here things are simple since T 1 = 2 T 0 ,

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V 1 V 0 = T 1 T 0 = 2 T 0 T 0 = 2.0 Problem 16.20 A 20-cm-diameter cylinder that is 40 cm long contains 50 g of oxygen gas at 20 degree(s)C.
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MasterPhysics 3 soln - PHYS-408 Fall 2008 Mastering Physics...

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