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The General Gas Equation Combined Gas Law

= . P 1 V 1. P 2 V 2. n 1 T 1. n 2 T 2. The General Gas Equation Combined Gas Law. Ideal Gas Equation. nT. V  . P. Combining the Gas Laws: The Ideal Gas Equation is derived using the Ideal Gas Constant. Boyle’s law V  1/P Charles’s law V  T Avogadro’s law V  n. nT.

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The General Gas Equation Combined Gas Law

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  1. = P1V1 P2V2 n1T1 n2T2 The General Gas EquationCombined Gas Law

  2. Ideal Gas Equation

  3. nT V  P Combining the Gas Laws: The Ideal Gas Equation is derived using the Ideal Gas Constant • Boyle’s law V  1/P • Charles’s law V  T • Avogadro’s law V  n nT V = R P PV = nRT

  4. PV R= nT = 0.08206 L atm/mol K The Gas Constant PV = nRT = 1.207 L psi / mol K = 8.314 Pa m3 / mol K = 8.314 J/mol K = 62.36 L Torr/ mol K

  5. = P1V1 P2V2 n1T1 n2T2 The General Gas Equation R=

  6. Example A 5.0 L cylinder contains oxygen gas at 20.0°C and 735 mm Hg. How many grams of oxygen are in the cylinder? Catalog Variables P = 735 mmHg V = 5.0 L n = # moles O2 R = 0.08206 L atm / mol K T = 20 °C

  7. Example Convert Units V = 5.0 L n = # moles O2 R = 0.08206 L atm / mol K T = 20 °C + 273 = 293 K Solve Equation = 0.201 mol O2

  8. m n = and MM m RT PV = MM Molar Mass Determination PV = nRT m RT m RT MM = MM = PV PV P MM dRT d= MM = RT P

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