Ideal Gas Law Chapter 14 3 Ideal Gas
![Ideal Gas Law Chapter 14. 3 Ideal Gas Law Chapter 14. 3](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-1.jpg)
![Ideal Gas Law • The ideal gas law combines: – pressure – temperature – Ideal Gas Law • The ideal gas law combines: – pressure – temperature –](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-2.jpg)
![Increasing Amount of Particles • If the amount of gas particles increases: – the Increasing Amount of Particles • If the amount of gas particles increases: – the](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-3.jpg)
![Effects of increased numbers of particles • Since P 1 V 1 = P Effects of increased numbers of particles • Since P 1 V 1 = P](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-4.jpg)
![Effects of increased numbers of particles • • PV = k T k varies Effects of increased numbers of particles • • PV = k T k varies](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-5.jpg)
![Vocabulary Word • ideal gas law: describes the physical behavior of an ideal gas Vocabulary Word • ideal gas law: describes the physical behavior of an ideal gas](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-6.jpg)
![Ideal Gas Constant • R has different numerical values depending on the unit for Ideal Gas Constant • R has different numerical values depending on the unit for](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-7.jpg)
![Units for the Ideal Gas Law • Volume (liters) • Temp (Kelvin) • n Units for the Ideal Gas Law • Volume (liters) • Temp (Kelvin) • n](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-8.jpg)
![Properties of Ideal Gases • the gas particles have no intermolecular forces of attraction Properties of Ideal Gases • the gas particles have no intermolecular forces of attraction](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-9.jpg)
![Real Gases • most gases behave like ideal gases at many temperatures and pressures Real Gases • most gases behave like ideal gases at many temperatures and pressures](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-10.jpg)
![Real Gases • at extremely high pressures or low temperature intermolecular forces become important Real Gases • at extremely high pressures or low temperature intermolecular forces become important](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-11.jpg)
![Intermolecular Forces • size and geometry (shape) can increase the intermolecular forces of attraction, Intermolecular Forces • size and geometry (shape) can increase the intermolecular forces of attraction,](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-12.jpg)
![Using the ideal gas law to calculate moles (n) • when any 3 values Using the ideal gas law to calculate moles (n) • when any 3 values](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-13.jpg)
![Using the ideal gas law to calculate moles (n) P = 3. 18 V Using the ideal gas law to calculate moles (n) P = 3. 18 V](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-14.jpg)
![Using the ideal gas law to calculate moles (n) (3. 18) (0. 044) = Using the ideal gas law to calculate moles (n) (3. 18) (0. 044) =](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-15.jpg)
![Using the ideal gas law to calculate temperature n = 2. 49 mol V Using the ideal gas law to calculate temperature n = 2. 49 mol V](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-16.jpg)
![Using the ideal gas law to calculate temperature (143) (1) = (2. 49) (8. Using the ideal gas law to calculate temperature (143) (1) = (2. 49) (8.](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-17.jpg)
![Using the ideal gas law to calculate volume • n = 0. 323 mol Using the ideal gas law to calculate volume • n = 0. 323 mol](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-18.jpg)
![](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-19.jpg)
![Using the ideal gas law to molar mass • The ideal gas law can Using the ideal gas law to molar mass • The ideal gas law can](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-20.jpg)
![PV = m. RT M solve for M, and M = m. RT PV PV = m. RT M solve for M, and M = m. RT PV](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-21.jpg)
- Slides: 21
![Ideal Gas Law Chapter 14 3 Ideal Gas Law Chapter 14. 3](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-1.jpg)
Ideal Gas Law Chapter 14. 3
![Ideal Gas Law The ideal gas law combines pressure temperature Ideal Gas Law • The ideal gas law combines: – pressure – temperature –](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-2.jpg)
Ideal Gas Law • The ideal gas law combines: – pressure – temperature – volume – # of particles (amount)
![Increasing Amount of Particles If the amount of gas particles increases the Increasing Amount of Particles • If the amount of gas particles increases: – the](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-3.jpg)
Increasing Amount of Particles • If the amount of gas particles increases: – the pressure will increase OR – the volume will increase
![Effects of increased numbers of particles Since P 1 V 1 P Effects of increased numbers of particles • Since P 1 V 1 = P](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-4.jpg)
Effects of increased numbers of particles • Since P 1 V 1 = P 2 V 2 T 1 T 2 PV = k T stays constant as long as the number of particles stays the same
![Effects of increased numbers of particles PV k T k varies Effects of increased numbers of particles • • PV = k T k varies](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-5.jpg)
Effects of increased numbers of particles • • PV = k T k varies with the amount of gas particles (n) k = n. R R was determined experimentally R is called the ideal gas constant
![Vocabulary Word ideal gas law describes the physical behavior of an ideal gas Vocabulary Word • ideal gas law: describes the physical behavior of an ideal gas](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-6.jpg)
Vocabulary Word • ideal gas law: describes the physical behavior of an ideal gas in terms of the temperature, volume and pressure and the number of moles of a gas that are present • PV = n. RT
![Ideal Gas Constant R has different numerical values depending on the unit for Ideal Gas Constant • R has different numerical values depending on the unit for](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-7.jpg)
Ideal Gas Constant • R has different numerical values depending on the unit for pressure: – Patm – Pk. Pa – Pmm. Hg R = 0. 0821 R = 8. 314 R = 62. 4
![Units for the Ideal Gas Law Volume liters Temp Kelvin n Units for the Ideal Gas Law • Volume (liters) • Temp (Kelvin) • n](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-8.jpg)
Units for the Ideal Gas Law • Volume (liters) • Temp (Kelvin) • n (moles)
![Properties of Ideal Gases the gas particles have no intermolecular forces of attraction Properties of Ideal Gases • the gas particles have no intermolecular forces of attraction](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-9.jpg)
Properties of Ideal Gases • the gas particles have no intermolecular forces of attraction or repulsion • in the real world gas particles DO have a small but measurable volume
![Real Gases most gases behave like ideal gases at many temperatures and pressures Real Gases • most gases behave like ideal gases at many temperatures and pressures](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-10.jpg)
Real Gases • most gases behave like ideal gases at many temperatures and pressures • we can use the ideal gas law to get a very close approximation of experimentally verified values
![Real Gases at extremely high pressures or low temperature intermolecular forces become important Real Gases • at extremely high pressures or low temperature intermolecular forces become important](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-11.jpg)
Real Gases • at extremely high pressures or low temperature intermolecular forces become important • this allows gases to liquify
![Intermolecular Forces size and geometry shape can increase the intermolecular forces of attraction Intermolecular Forces • size and geometry (shape) can increase the intermolecular forces of attraction,](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-12.jpg)
Intermolecular Forces • size and geometry (shape) can increase the intermolecular forces of attraction, • values calculated with the ideal gas law will be off – polar gases (water vapor) – larger gases (butane)
![Using the ideal gas law to calculate moles n when any 3 values Using the ideal gas law to calculate moles (n) • when any 3 values](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-13.jpg)
Using the ideal gas law to calculate moles (n) • when any 3 values are given, the 4 th value can be calculated • If P = 3. 18 atm and V = 0. 044 L at 25 o. C, how many moles of gas are present? P = 3. 18 V = 0. 044 T = 25 + 273 = 298
![Using the ideal gas law to calculate moles n P 3 18 V Using the ideal gas law to calculate moles (n) P = 3. 18 V](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-14.jpg)
Using the ideal gas law to calculate moles (n) P = 3. 18 V = 0. 044 T = 25 + 273 = 298 PV = n. RT (3. 18) (0. 044) = n (0. 0821) (298)
![Using the ideal gas law to calculate moles n 3 18 0 044 Using the ideal gas law to calculate moles (n) (3. 18) (0. 044) =](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-15.jpg)
Using the ideal gas law to calculate moles (n) (3. 18) (0. 044) = n (0. 0821) (298) 6. 9 x 10 -3 mol = n
![Using the ideal gas law to calculate temperature n 2 49 mol V Using the ideal gas law to calculate temperature n = 2. 49 mol V](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-16.jpg)
Using the ideal gas law to calculate temperature n = 2. 49 mol V = 1 L P = 143 k. Pa T=? (143) (1) = (2. 49) (8. 314) Tk
![Using the ideal gas law to calculate temperature 143 1 2 49 8 Using the ideal gas law to calculate temperature (143) (1) = (2. 49) (8.](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-17.jpg)
Using the ideal gas law to calculate temperature (143) (1) = (2. 49) (8. 314) Tk (143) (1) (2. 49) (8. 314) 6. 91 = Tk - 266 o = o. C = Tk
![Using the ideal gas law to calculate volume n 0 323 mol Using the ideal gas law to calculate volume • n = 0. 323 mol](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-18.jpg)
Using the ideal gas law to calculate volume • n = 0. 323 mol • T= 265 K • P = 0. 900 atm (0. 900) V = (0. 323) (0. 0821) (265) (0. 900) = 7. 821 L
![](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-19.jpg)
![Using the ideal gas law to molar mass The ideal gas law can Using the ideal gas law to molar mass • The ideal gas law can](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-20.jpg)
Using the ideal gas law to molar mass • The ideal gas law can be used to determine the molar mass of a gas • moles of a gas = mass of the gas molar mass • PV = n. RT becomes PV = m. RT M
![PV m RT M solve for M and M m RT PV PV = m. RT M solve for M, and M = m. RT PV](https://slidetodoc.com/presentation_image_h/2cbfbdb7d80d8ad207c2bdca327c421b/image-21.jpg)
PV = m. RT M solve for M, and M = m. RT PV
Pseudo reduced specific volume
An ideal gas is an imaginary gas
Differences between ideal gas and real gas
Computational fluid dynamics
Difference between ideal gas and real gas
Unit of pressure
Gas law formulas
Ideal gas law examples
Which equation agrees with the ideal gas law?
Deviation from ideal gas
Ideal gas law example
Deviations from the ideal gas law
Graph of ideal gas equation
Ideal gas law density
State ideal gas equation
Pv=nrt units
Ideal gas equation
Ideal gas law formula
How to find density in ideal gas law
Ideal gas law to find density
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Ideal gas law find n