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General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.1 Chapter 7 Gases 7.6 The Combined Gas Law
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc. Summary of Gas Laws The gas laws can be summarized as follows: 2
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.3 The combined gas law uses Boyles Law, Charless Law, and Gay-Lussacs Law (n is constant). P 1 V 1 = P 2 V 2 T 1 T 2 Combined Gas Law
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.4 A sample of helium gas has a volume of L, a pressure of atm and a temperature of 29 °C. At what temperature (°C) will the helium have a volume of 90.0 mL and a pressure of 3.20 atm (n constant)? Step 1 Set up data table: Conditions 1Conditions 2 P 1 = atm P 2 = 3.20 atm V 1 = L (180 mL) V 2 = 90.0 mL T 1 = 29 °C = 302 KT 2 = ? Combined Gas Law Calculation
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.5 STEP 2 Solve for T 2 P 1 V 1 =P 2 V 2 T 1 T 2 T 2 = T 1 x P 2 x V 2 P 1 V 1 STEP 3 Substitute values to solve for unknown. T 2 = 302 K x 3.20 atm x 90.0 mL = 604 K atm 180. mL T 2 = 604 K 273 = 331 °C Combined Gas Law Calculation (continued)
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.6 A gas has a volume of 675 mL at 35 °C and atm pressure. What is the volume (mL) of the gas at -95 °C and a pressure of 802 mmHg (n constant)? Learning Check
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc.7 STEP 1 Set up data table Conditions 1Conditions 2 T 1 = 308 K T 2 = -95 °C = 178 K V 1 = 675 mL V 2 = ? P 1 = 646 mmHg P 2 = 802 mmHg STEP 2 Solve for V 2 V 2 =V 1 x P 1 x T 2 P 2 T 1 STEP 3 Substitute values to solve for unknown. V 2 = 675 mL x 646 mmHg x 178 K = 314 mL 802 mmHg x 308 K Solution
1 Gases The Combined Gas Law Volume and Moles (Avogadros Law) Partial Pressures.
Pressure, Volume, Temperature The Gas Laws. Learning Objectives Understand the qualitative relationship between pressure (P) and volume (V) and temperature.
1 Gases Volume and Moles (Avogadros Law) Copyright © 2007 by Pearson Education, Inc. Publishing as Benjamin Cummings Edited by bbg.
Gases Pressure and Volume (Boyles Law) Temperature and Volume (Charles Law) Temperature and Pressure (Gay-Lussacs Law)
Gas Laws Day 2 Boyle, Charles and Gay-Lussac The Gas Laws The gas laws apply to ideal gases, which are described by the kinetic theory in the following.
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Copyright Sautter 2003 SOLVING GAS LAW PROBLEMS BOYLES LAW CHARLES LAW GAY-LUSSACS LAW THE COMBINED GAS LAW THE IDEAL GAS LAW DALTONS LAW GRAHAMS LAW.
The Ideal Gas Law PV = nRT. Ideal Gas Law P = pressure – in atm, Pa, or torr P = pressure – in atm, Pa, or torr V = volume – we will always use liters.
Ideal Gas Law The equality for the four variables involved in Boyles Law, Charles Law, Gay-Lussacs Law and Avogadros law can be written PV = nRT R = ideal.
Chapter 11: Behavior of Gases. Particles of Ideal vs Real Gas IdealReal have no volumehave their own volume dont attract or repel each other attract each.
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Lecture PLUS Timberlake Ideal Gas Law The equality for the four variables involved in Boyles Law, Charles Law, Gay-Lussacs Law and Avogadros law.
Combined Gas Law The combined gas law combines Boyles Law and Charles Law.
The Combined Gas Law. Manipulating Variables in equations Often in an equation we want to isolate some variable, usually the unknown From math: what ever.
Gas Laws. What do we know about gases? Gases have unique properties because the distance between the particles is so great. Gases behave like liquids.
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Processing the Data: Boyles Law: 1. If the volume is halved from 20.0 mL to 10.0 mL, what does your data show happen to the pressure? Show the pressure.
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A sample of nitrogen occupies 10.0 liters at 25ºC and 98.7 kPa. What would be the volume at 20ºC and kPa? A 7.87 L B 9.45 L C 10.2 L D 10.6 L Bell.
Chapter 11b Ideal Gas Laws Chapter 11b Ideal Gas Laws.
General, Organic, and Biological ChemistryCopyright © 2010 Pearson Education, Inc.1 Chapter 2 Energy and Matter 2.7 Changes of State.
General, Organic, and Biological Chemistry Copyright © 2010 Pearson Education, Inc. 1 Chapter 6 Chemical Reactions and Quantities 6.5 Molar Mass.
Sec. 13.1: The Gas Laws Ch. 13: Gases. Objectives State the relationships among pressure, temperature, and volume of a constant amount of gas. Apply the.
Copyright © 2010 Pearson Education, Inc. Systems of Linear Equations in Three Variables Learn basic concepts about systems in three variables Learn basic.
1 Chemical Quantities The Mole. 2 Collection Terms A collection term states a specific number of items. 1 dozen donuts = 12 donuts 1 ream of paper = 500.
Copyright Sautter 2003 GASES & THEIR PROPERTIES THE GAS LAWS.
TUTORIAL INSTRUCTIONS: Carefully go through the tutorial, step by step. You may return to any section, as necessary. Once you are satisfied that you understand.
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