Ideal Gas Law Gas Stoichiometry Ideal Gas Law
![Ideal Gas Law & Gas Stoichiometry Ideal Gas Law & Gas Stoichiometry](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-1.jpg)
![Ideal Gas Law PV=n. RT • • • P = Pressure (atm) V = Ideal Gas Law PV=n. RT • • • P = Pressure (atm) V =](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-2.jpg)
![PV = n. RT • Calculate the number of moles of a gas contained PV = n. RT • Calculate the number of moles of a gas contained](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-3.jpg)
![PV = n. RT • • • n=? V = 3. 0 L T PV = n. RT • • • n=? V = 3. 0 L T](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-4.jpg)
![Example Dinitrogen monoxide (N 2 O), laughing gas, is used by dentists as an Example Dinitrogen monoxide (N 2 O), laughing gas, is used by dentists as an](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-5.jpg)
![Example • • n = 2. 86 mol V = 20. 0 L T Example • • n = 2. 86 mol V = 20. 0 L T](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-6.jpg)
![Permutations of the Ideal Gas Law • • • PV = m. RT M Permutations of the Ideal Gas Law • • • PV = m. RT M](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-7.jpg)
![Example • What is the pressure 2. 0 g of nitrogen gas in a Example • What is the pressure 2. 0 g of nitrogen gas in a](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-8.jpg)
![Example PV = m. RT M P(5. 0) = (2. 0)(0. 0821)(300. 0) 28. Example PV = m. RT M P(5. 0) = (2. 0)(0. 0821)(300. 0) 28.](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-9.jpg)
![Permutations of the Ideal Gas Law • • • P = DRT M P Permutations of the Ideal Gas Law • • • P = DRT M P](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-10.jpg)
![Example • What is the molar mass of a gas that has a density Example • What is the molar mass of a gas that has a density](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-11.jpg)
![Example • • • P = 1. 00 atm D = 1. 40 g/L Example • • • P = 1. 00 atm D = 1. 40 g/L](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-12.jpg)
![Avogadro’s Principle • Avogadro’s Principle – equal volumes of gases at equal temperature and Avogadro’s Principle • Avogadro’s Principle – equal volumes of gases at equal temperature and](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-13.jpg)
![Example • Calculate the volume 0. 881 mol of a gas will occupy at Example • Calculate the volume 0. 881 mol of a gas will occupy at](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-14.jpg)
![Example • Calculate the volume that 2. 000 kg of methane would occupy at Example • Calculate the volume that 2. 000 kg of methane would occupy at](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-15.jpg)
- Slides: 15
![Ideal Gas Law Gas Stoichiometry Ideal Gas Law & Gas Stoichiometry](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-1.jpg)
Ideal Gas Law & Gas Stoichiometry
![Ideal Gas Law PVn RT P Pressure atm V Ideal Gas Law PV=n. RT • • • P = Pressure (atm) V =](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-2.jpg)
Ideal Gas Law PV=n. RT • • • P = Pressure (atm) V = Volume (L) T = Temperature (K) n = number of moles R is a constant, called the Ideal Gas Constant Instead of learning a different value for R for all the possible unit combinations, we can just memorize one value and convert the units to match R. • R = 0. 0821 L atm / mol K
![PV n RT Calculate the number of moles of a gas contained PV = n. RT • Calculate the number of moles of a gas contained](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-3.jpg)
PV = n. RT • Calculate the number of moles of a gas contained in a 3. 0 L vessel at 300. 0 K with a pressure of 1. 50 atm
![PV n RT n V 3 0 L T PV = n. RT • • • n=? V = 3. 0 L T](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-4.jpg)
PV = n. RT • • • n=? V = 3. 0 L T = 300. 0 K P = 1. 50 atm PV = n. RT • (1. 50 atm)(3. 0 L) = n (0. 0821 L atm / mol K)(300. 0 K) • n = 0. 18 mol
![Example Dinitrogen monoxide N 2 O laughing gas is used by dentists as an Example Dinitrogen monoxide (N 2 O), laughing gas, is used by dentists as an](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-5.jpg)
Example 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 (mm. Hg) in the tank in the dentist office? Note: 1 atm = 760 mm Hg
![Example n 2 86 mol V 20 0 L T Example • • n = 2. 86 mol V = 20. 0 L T](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-6.jpg)
Example • • n = 2. 86 mol V = 20. 0 L T = 23 °C = 273 + 23 = 296 K P=? PV = n. RT • (P)(20. 0 L) = (2. 86) (0. 0821 L atm / mol K)(296 K) • P = 3. 5 atm • P = 2600 mm Hg
![Permutations of the Ideal Gas Law PV m RT M Permutations of the Ideal Gas Law • • • PV = m. RT M](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-7.jpg)
Permutations of the Ideal Gas Law • • • PV = m. RT M P = Pressure (atm) V = volume (L) m = mass of the gas (g) R = 0. 0821 L atm / mol K T = Temperature (K) M = molecular mass
![Example What is the pressure 2 0 g of nitrogen gas in a Example • What is the pressure 2. 0 g of nitrogen gas in a](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-8.jpg)
Example • What is the pressure 2. 0 g of nitrogen gas in a 5. 0 L container at 300. 0 K? • P=? • m = 2. 0 g • V = 5. 0 L • T = 300. 0 K • M = 28. 02 g/mol
![Example PV m RT M P5 0 2 00 0821300 0 28 Example PV = m. RT M P(5. 0) = (2. 0)(0. 0821)(300. 0) 28.](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-9.jpg)
Example PV = m. RT M P(5. 0) = (2. 0)(0. 0821)(300. 0) 28. 04 P = 2. 8 atm
![Permutations of the Ideal Gas Law P DRT M P Permutations of the Ideal Gas Law • • • P = DRT M P](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-10.jpg)
Permutations of the Ideal Gas Law • • • P = DRT M P = pressure (atm) D = density (g/L) R = 0. 0821 L atm / mol K T = temperature (K) M = molecular mass
![Example What is the molar mass of a gas that has a density Example • What is the molar mass of a gas that has a density](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-11.jpg)
Example • What is the molar mass of a gas that has a density of 1. 40 g/L at STP? – NOTE – STP is standard temperature and pressure – At STP temperature is 273 K and pressure is 1. 00 atm
![Example P 1 00 atm D 1 40 gL Example • • • P = 1. 00 atm D = 1. 40 g/L](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-12.jpg)
Example • • • P = 1. 00 atm D = 1. 40 g/L R = 0. 0821 L atm / mol K T = 273 K M=? P = DRT M 1. 00 = (1. 40)(0. 0821)(273) M M = 31. 4 g/mol
![Avogadros Principle Avogadros Principle equal volumes of gases at equal temperature and Avogadro’s Principle • Avogadro’s Principle – equal volumes of gases at equal temperature and](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-13.jpg)
Avogadro’s Principle • Avogadro’s Principle – equal volumes of gases at equal temperature and pressure contain the same number of particles • Molar volume – the volume of gas that 1 mole of a substance occupies at STP • At STP 1 mol of a gas = 22. 4 L • New conversion factor at STP ONLY! 1 mol 22. 4 L
![Example Calculate the volume 0 881 mol of a gas will occupy at Example • Calculate the volume 0. 881 mol of a gas will occupy at](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-14.jpg)
Example • Calculate the volume 0. 881 mol of a gas will occupy at STP. • 0. 881 mol x 22. 4 L = 19. 7 L 1 mol (You could also have worked this out with the ideal gas law equation)
![Example Calculate the volume that 2 000 kg of methane would occupy at Example • Calculate the volume that 2. 000 kg of methane would occupy at](https://slidetodoc.com/presentation_image_h2/ba45d5f39f5e2500cae3309bb79ccbcc/image-15.jpg)
Example • Calculate the volume that 2. 000 kg of methane would occupy at STP. • 2. 000 kg x 1 x 10 3 g x 1 mol x 22. 4 L = 1 kg 16. 05 g 1 mol • 2791 L CH 4
Derive ideal gas equation
Imaginary gas
Differences between ideal gas and real gas
Ideal gas vs perfect gas
Difference between ideal gas and real gas
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Gas stoichiometry
Gas stoichiometry worksheet
Gas stoichiometry
Stoichiometry of gases
Dalton's law derivation
Ideal gas law with mass
Combined gas law definition
Charles law example problem
Which equation agrees with the ideal gas law?
Deviation from ideal gas