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AFriAug29 - Thermodynamics Ideal gases Physical Chemistry A...

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1 Thermodynamics Ideal gases Physical Chemistry: A Molecular Approach Donald A McQuarrie John D. Simon
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2 The Equation of State Chapter 16, Mc.&S. Consider the gas laws: P = Pressure R = Gas constant V = Volume T = Temperature n = Number of moles nRT PV =
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3 Units Pressure Volume Number of moles Gas Constant Temperature 2 1 2 2 . . / . . / / - - - = = × = = s m kg m s m kg A a m A F P 3 m 1 1 2 2 1 1 . . . . . . - - - - - = = mol K s m kg mol K J R mol K
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4 Cancel Units K mol K s m kg mol m s m kg nRT PV × × = × = . . . . 2 2 3 2 If the equation is correct then all the units should cancel
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Gas Constant 5 cm 3 liter m 3 ft 3 Inch 3 atm 82.0575 0.0820575 8.20575e-5 0.00289783 5.00745 bar 83.1447 0.0831447 8.31447e-5 0.00293623 5.0738 ft H 2 O 2781.63 2.78163 0.00278163 0.0982323 169.745 In H 2 O 33379.5 33.3795 0.0333795 1.17879 2036.94 In Hg 2455.27 2.45527 0.00245527 0.086707 149.83 kgf/cm 2 84.784 0.084784 8.4784e-5 0.00299412 5.17384 kPa 8314.47 8.31447 0.00831447 0.293623 507.38 lbf/ft 2 173651 173.651 0.173651 6.13244 10596.9 mbar 83144.7 83.1447 0.0831447 2.93623 5073.8 m H 2 O 847.84 0.84784 0.00084784 0.0299412 51.7384 mm H 2 O 847840 847.84 0.84784 29.9412 51738.4 mm Hg 62363.8 62.3638 0.0623638 2.20236 3805.68 Pa 8.31447e6 8314.47 8.31447 293.623 507380 PSI 1205.91 1.20591 0.00120591 0.0425864 73.5893
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6 Boyles Law Robert Boyle (1627 -1691) The pressure of a fixed amount of gas varies inversely with the volume at a constant temperature.
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