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Scan_Doc0097 - observations Boyle's law k V=-P V = bT V =...

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5.3 The IdeaL Gas Law 189 What is the mole ratio between 0 3 and 02? 2 mol 0 3 3 mol O 2 Now we can calculate the moles of 0 3 formed. 2 mol 0 3 0.50 mel-<'J2 X = 0.33 mol 0 3 3 mel-<'J2 What is the volume of 0 3 produced? Avogadro's law states that V = an, which can be rearranged to give V -=a n Since a is a constant, an alternative representation is V j V 2 -=a=- nj n2 where V j is the volume of nj moles of O 2 gas and V 2 is the volume of n2 moles of 0 3 gas. In this case we have .I nj = 0.50 mol .I v, = 12.2 L .I nz = 0.33 mol .I V 2 = ? Solving for V 2 gives ( n2) (0.33 mot) V 2 = - V j = 12.2 L = 8.1 L nj 0.50 mot Reality Check: Note that the volume decreases, as it should, since fewer moles of gas molecules will be present after O 2 is converted to 0 3 , SEE EXERCISES 5.43 AND 5.44 5.3 ~ The Ideal Gas Law We have considered three laws that describe the behavior of gases as revealed by exper- imental observations: Boyle's law:
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Unformatted text preview: observations: Boyle's law: k V=-P V = bT V = an (at constant P and n) (at constant T and P) (at constant T and n) Charles's law: Avogadro's law: These relationships, which show how the volume of a gas depends on pressure, temper-ature, and number of moles of gas present, can be combined as follows: V = R(~) R = 0.08206 L . atm K· mol where R is the combined proportionality constant called the universal gas constant. When the pressure is expressed in atmospheres and the volume in liters, R has the value 0.08206 L . atm/K . mol. The preceding equation can be rearranged to the more familiar form of the ideal gas law: PV = nRT...
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