ideal gas law and gases in equations

ideal gas law and gases in equations - Ideal Gas Law The...

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Lecture PLUS Timberlake 2000 1 Ideal Gas Law The equality for the four variables involved in Boyle’s Law, Charles’ Law, Gay-Lussac’s Law and Avogadro’s law can be written PV = n R T R = ideal gas constant

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Lecture PLUS Timberlake 2000 2 Ideal Gases Behave as described by the ideal gas equation; no real gas is actually ideal Within a few %, ideal gas equation describes most real gases at room temperature and pressures of 1 atm or less In real gases, particles attract each other reducing the pressure Real gases behave more like ideal gases as pressure approaches zero.
Lecture PLUS Timberlake 2000 3 PV = nRT R is known as the universal gas constant Using STP conditions P V R = PV = (1.00 atm)(22.4 L) nT (1mol) (273K) n T = 0.0821 L-atm mol-K

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Lecture PLUS Timberlake 2000 4 Learning Check G15 What is the value of R when the STP value for P is 760 mmHg?
Lecture PLUS Timberlake 2000 5 Solution G15 What is the value of R when the STP value for P is 760 mmHg? R = PV = (760 mm Hg) (22.4 L) nT (1mol) (273K) = 62.4 L-mm Hg mol-K

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Lecture PLUS Timberlake 2000 6 Learning Check G16 Dinitrogen monoxide (N 2 O), laughing gas, is used by dentists as an anesthetic. If 2.86 mol of gas occupies a 20.0 L tank at 23°C, what is the pressure (mmHg) in the tank in the dentist office?
Lecture PLUS Timberlake 2000 7 Solution G16 Set up data for 3 of the 4 gas variables Adjust to match the units of R V = 20.0 L 20.0 L T = 23°C + 273 296 K n = 2.86 mol 2.86 mol P = ? ?

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Lecture PLUS Timberlake 2000 8 Rearrange ideal gas law for unknown P P = nRT V Substitute values of n, R, T and V and solve for P P = (2.86 mol)(62.4 L - mmHg )(296 K ) (20.0 L ) (K- mol ) = 2.64 x 10 3 mm Hg
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ideal gas law and gases in equations - Ideal Gas Law The...

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