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Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Chapter Presentation Transparencies Lesson Starters Standardized Test PrepVisual Concepts Sample Problems Resources

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu You have learned about equations describing the relationships between two or three of the four variables—pressure, volume, temperature, and moles—needed to describe a gas sample at a time. All of the gas laws you have learned thus far can be combined into a single equation, the ideal gas law: the mathematical relationship among pressure, volume, temperature, and number of moles of a gas. It is stated as shown below, where R is a constant: PV = nRT Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law The Ideal Gas Law

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Visual Concepts Click below to watch the Visual Concept. Visual Concept Equation for the Ideal Gas Law Chapter 11

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu In the equation representing the ideal gas law, the constant R is known as the ideal gas constant. Its value depends on the units chosen for pressure, volume, and temperature in the rest of the equation. Measured values of P, V, T, and n for a gas at near-ideal conditions can be used to calculate R: Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law The Ideal Gas Law, continued The Ideal Gas Constant

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu The calculated value of R is usually rounded to (Latm)/(molK). Use this value in ideal gas law calculations when the volume is in liters, the pressure is in atmospheres, and the temperature is in kelvins. The ideal gas law can be applied to determine the existing conditions of a gas sample when three of the four values, P, V, T, and n, are known. Be sure to match the units of the known quantities and the units of R. Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law The Ideal Gas Law, continued The Ideal Gas Constant, continued

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Numerical Values of the Gas Constant Section 3 Gas Volumes and the Ideal Gas Law Chapter 11

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Visual Concepts Click below to watch the Visual Concept. Visual Concept Ideal Gas Law Chapter 11

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu The Ideal Gas Law, continued Sample Problem I What is the pressure in atmospheres exerted by a mol sample of nitrogen gas in a 10.0 L container at 298 K? Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Sample Problem I Solution Given: V of N 2 = 10.0 L n of N 2 = mol T of N 2 = 298 K Unknown: P of N 2 in atm Solution: Use the ideal gas law, which can be rearranged to find the pressure, as follows. Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law The Ideal Gas Law, continued

Copyright © by Holt, Rinehart and Winston. All rights reserved. ResourcesChapter menu Sample Problem I Solution, continued Substitute the given values into the equation: Chapter 11 Section 3 Gas Volumes and the Ideal Gas Law The Ideal Gas Law, continued