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Prentice-Hall Chapter 14.3 Dr. Yager

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1 Prentice-Hall Chapter 14.3 Dr. Yager
Ideal Gases Prentice-Hall Chapter 14.3 Dr. Yager

2 Objectives Compute the value of an unknown using the ideal gas law
Compare and contrast real and ideal gases

3 Ideal Gas Law P x V = n x R x T (also written PV=nRT)
P = pressure; atm or kPa (depending on R) V = volume; L n = moles; mol T = temperature (Kelvin) R = gas constant (Must watch the units!)

4 Gas Constant “R”

5

6

7 A child’s lungs can hold 2. 20 L
A child’s lungs can hold 2.20 L. How many grams of air does the child’s lungs hold at a pressure of 102 kPa and a body temperature of 37oC? Use a molar mass of 29 g for air, which is about 20% O2 (32 g/mol) and 80% N2 (28 g/mol). We must solve for the moles “n” of air in the lungs. Use: PV=nRT P = 102 kPa V = 2.2L n = unknown R = 8.31(kPa·L)/(K·mol) T = 37oC = 310 K 102kPa x 2.2L = n x 8.31(kPa·L)/(K·mol) x 310 K n = .087mol grams of air = mol x (29 g/mol) = 2.5 g of air

8 Ideal Gases and Real Gases
works at all temperature, volumes & pressures has to conform to assumptions of kinetic theory no volume & no attraction between the particles Real Gas particles have volume particles are attracted to each other particles can condense or solidify

9 Key Idea Real gases differ most from ideal gas at low temperature and high pressure.

10 Intermolecular attractions dominate when the line is below PV=nRT and volume dominates when the line is above PV=nRT.

11 An aerosol spray can with a volume of 325 mL contains 3
An aerosol spray can with a volume of 325 mL contains 3.00 g of propane (C3H8) as a propellant. What is the pressure in kPa of the gas in the can at 28°C? 525 kPa 2.31 x 104 kPa 475 kPa 0.525 kPa

12 An aerosol spray can with a volume of 325 mL contains 3
An aerosol spray can with a volume of 325 mL contains 3.00 g of propane (C3H8) as a propellant. What is the pressure in kPa of the gas in the can at 28°C? 525 kPa 2.31 x 104 kPa 475 kPa 0.525 kPa

13 Find the volume of a gas in liters if 2. 95 mol has a pressure of 77
Find the volume of a gas in liters if 2.95 mol has a pressure of 77.0 kPa at a temperature of 52°C. 22.4 L 16.6 L 103 L 50.2 L

14 Find the volume of a gas in liters if 2. 95 mol has a pressure of 77
Find the volume of a gas in liters if 2.95 mol has a pressure of 77.0 kPa at a temperature of 52°C. 22.4 L 16.6 L 103 L 50.2 L

15 An ideal gas differs from a real gas in that the molecules of an ideal gas
have no attraction for one another. have a significant volume. have a molar mass of zero. have no kinetic energy.

16 An ideal gas differs from a real gas in that the molecules of an ideal gas
have no attraction for one another. have a significant volume. have a molar mass of zero. have no kinetic energy.


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