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The General Gas Equation Combined Gas Law
P1V1 n1T1 = P2V2 n2T2
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Ideal Gas Equation
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Combining the Gas Laws: The Ideal Gas Equation is derived using the Ideal Gas Constant
P Boyle’s law V 1/P Charles’s law V T Avogadro’s law V n nT Any gas whose behavior conforms to the ideal gas equation is called an ideal or perfect gas. R is the gas constant. Substitute and calculate. V = R P PV = nRT
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The Gas Constant PV = nRT PV R = nT = 0.08206 L atm/mol K
= L psi / mol K = Pa m3 / mol K = J/mol K = L Torr/ mol K
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The General Gas Equation
P1V1 n1T1 = P2V2 n2T2 R =
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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 = L atm / mol K T = 20 °C
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Example P = 735 mmHg 1 atm = 0.967 atm 760 mmHg Convert Units
V = 5.0 L n = # moles O2 R = L atm / mol K T = 20 °C = 293 K 0.201 mol O2 32.0 g O2 = g O2 1 mol O2 Solve Equation = mol O2
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Molar Mass Determination
and n = m MM PV = nRT PV = m MM RT m RT m RT MM = MM = PV PV P MM dRT d = MM = RT P
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