Ideal Gas Law Perfect gas molecules Ideal Gas
![Ideal Gas Law Perfect gas molecules Ideal Gas Law Perfect gas molecules](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-1.jpg)
![Ideal Gas Law For every problem we have done, we also could have used Ideal Gas Law For every problem we have done, we also could have used](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-2.jpg)
![Ideal gas law can be derived from the combined gas law n (22. 4 Ideal gas law can be derived from the combined gas law n (22. 4](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-3.jpg)
![The equation PV = n. RT *R can also be. 0821 atm • L/K The equation PV = n. RT *R can also be. 0821 atm • L/K](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-4.jpg)
![Idea Gas Law Assumes: • Each gas molecule or atom has no attractive or Idea Gas Law Assumes: • Each gas molecule or atom has no attractive or](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-5.jpg)
![Converting pressures Use the standard pressures as a conversion factor 1. 00 atm = Converting pressures Use the standard pressures as a conversion factor 1. 00 atm =](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-6.jpg)
![Using the ideal gas law What volume will. 76 mol of a gas occupy Using the ideal gas law What volume will. 76 mol of a gas occupy](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-7.jpg)
![Ideal Gas Law Problem If a gas occupies 14 L at 135 k. Pa Ideal Gas Law Problem If a gas occupies 14 L at 135 k. Pa](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-8.jpg)
![or you can also take the. 798 mol and plug it back into PV or you can also take the. 798 mol and plug it back into PV](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-9.jpg)
![Homework Problem If a gas occupies 34 L at 115 k. Pa and 290 Homework Problem If a gas occupies 34 L at 115 k. Pa and 290](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-10.jpg)
- Slides: 10
![Ideal Gas Law Perfect gas molecules Ideal Gas Law Perfect gas molecules](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-1.jpg)
Ideal Gas Law Perfect gas molecules
![Ideal Gas Law For every problem we have done we also could have used Ideal Gas Law For every problem we have done, we also could have used](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-2.jpg)
Ideal Gas Law For every problem we have done, we also could have used the ideal gas law. We could treat each gas molecule like a perfect sphere. Each atom or molecule has almost no volume. Each atom or molecule would have an elastic collision with each other like billiard balls.
![Ideal gas law can be derived from the combined gas law n 22 4 Ideal gas law can be derived from the combined gas law n (22. 4](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-3.jpg)
Ideal gas law can be derived from the combined gas law n (22. 4 L) = Volume of any gas at STP (n is the number of moles) plug this into combined gas law for initial state. PV/T = PV/T (using k. Pa for pressure) PV/T = (101. 2 k. Pa) (n • 22. 414 L) / 273 K PV = n (8. 31 k. Pa • L/K mol) T 8. 31 k. Pa • L/K mol is the ideal gas constant for these units. It is abbreviated “R”
![The equation PV n RT R can also be 0821 atm LK The equation PV = n. RT *R can also be. 0821 atm • L/K](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-4.jpg)
The equation PV = n. RT *R can also be. 0821 atm • L/K mol The units of R must match the other units in the problem. If you are using 8. 31 k. Pa • L/K mol, your units are: k. Pa(L) = mol (8. 31 k. Pa • L/K mol) K
![Idea Gas Law Assumes Each gas molecule or atom has no attractive or Idea Gas Law Assumes: • Each gas molecule or atom has no attractive or](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-5.jpg)
Idea Gas Law Assumes: • Each gas molecule or atom has no attractive or repulsive force with one another. • Each gas molecule or atom has an elastic collision with one another. • Momentum is conserved.
![Converting pressures Use the standard pressures as a conversion factor 1 00 atm Converting pressures Use the standard pressures as a conversion factor 1. 00 atm =](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-6.jpg)
Converting pressures Use the standard pressures as a conversion factor 1. 00 atm = 101 k. Pa = 760. torr convert 135 k. Pa to atm 135 k. Pa x 1 atm / 101 k. Pa = 1. 34 atm convert 768 torr to k. Pa 768 torr x 101 k. Pa / 760 torr = 102 k. Pa
![Using the ideal gas law What volume will 76 mol of a gas occupy Using the ideal gas law What volume will. 76 mol of a gas occupy](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-7.jpg)
Using the ideal gas law What volume will. 76 mol of a gas occupy at. 82 atm and 264 K? . 82 atm x 101 k. Pa / 1. 00 atm = 82. 82 k. Pa PV = n. RT 82. 82 k. Pa V = 0. 76 mol (8. 31 k. Pa • L/K mol )264 K V = 20. L
![Ideal Gas Law Problem If a gas occupies 14 L at 135 k Pa Ideal Gas Law Problem If a gas occupies 14 L at 135 k. Pa](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-8.jpg)
Ideal Gas Law Problem If a gas occupies 14 L at 135 k. Pa and 285 K, what volume will it occupy at STP? 135 k. Pa (14 L) = n 8. 31 k. Pa • L/K mol (285 K) n =. 798 mol x 22. 4 L / 1 mol = 18 L
![or you can also take the 798 mol and plug it back into PV or you can also take the. 798 mol and plug it back into PV](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-9.jpg)
or you can also take the. 798 mol and plug it back into PV = n. RT (you would have to do this if you were not going to STP) 101 k. Pa V= (. 798 mol) 8. 31 (273 K) V = 18 L (still)
![Homework Problem If a gas occupies 34 L at 115 k Pa and 290 Homework Problem If a gas occupies 34 L at 115 k. Pa and 290](https://slidetodoc.com/presentation_image_h/f6416be1730f8b59281ce3dcedfc6a1a/image-10.jpg)
Homework Problem If a gas occupies 34 L at 115 k. Pa and 290 K, what volume will it occupy at STP? solve for n then use Avogadro’s law to determine its volume at STP You MUST use the IDEAL GAS LAW not the combined gas law to receive credit for this problem