Lecture 19 - Ideal Gas Law

Lecture 19 - Ideal Gas Law - Oct 14, 2011 Lecture 19: Ideal...

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Lecture 19: Ideal Gas Law Amonton’s Law: P is proportional to T Oct 14, 2011
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Boyle’s law: volume vs. pressure Charles’ law: volume vs. temperature Amonton’s law: pressure vs. temperature Avogadro’s law: volume vs. # moles So, how are P and T related? P and N? What is the molecular explanation? Combined Gas Law: 2-state problems P 1 V 1 n 1 T 1 = R P 2 V 2 n 2 T 2 = If n remains constant: P 1 V 1 T 1 P 2 V 2 T 2 = combined gas law
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P 1 V 1 T 1 P 2 V 2 T 2 = Combined Gas Law A gas occupies 401 mL at P = 1.000 atm. What will be its volume if P is decreased to 0.750 atm? T is held constant. T 1 = T 2 (cancel out) P 1 V 1 P 2 V 2 = 1.000 atm (401 mL) = (0.750 atm) V 2 V 2 = 401 mL (1.000 atm/ 0.750 atm) = 535 mL The ideal gas law ideal gas law is a combination of: The Ideal Gas Law: single-state problems IDEAL GAS LAW PV = nRT or V = nRT P Boyle’s Law V v 1/ P fixed n and T Avogadro’s Law V n fixed P and T Charles’s Law V T fixed n and P
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The Ideal Gas Law R is the ideal gas constant ideal gas constant PV = nRT R = 0.08206 L atm K -1 mol -1 R = 0.08314 L bar K -1 mol -1 R = 62.36 L torr K -1 mol -1 R = 8.314 dm 3 kPa K -1 mol -1 R = 8.314 J K -1 mol -1 (Note: 1L = 1 dm 3 = 1000 cm 3 ) absolute T ! What is an ideal gas?? A gas that follows the ideal gas law!!
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Lecture 19 - Ideal Gas Law - Oct 14, 2011 Lecture 19: Ideal...

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