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ChemistryIntroductory Chemistry: A Foundation9th Edition

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Chapter 13, Problem 48QAP
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Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

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Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
1 views

Show how Charles‘s gas aw can be derived from the ideal gas law.

Interpretation Introduction

Interpretation:

The Charles’s law should be derived from the ideal gas law.

Concept Introduction:

The ideal gas law was purposed to explain all the properties of any ideal gas. The expression for ideal gas law can be shown as:

PV = n R T

Here:

  • P = pressure of gas.
  • V = volume of gas.
  • n = number of moles of gas.
    • R = gas constant = 0.0821 L atm / K mol
  • T = Temperature.
Ideal gas law is the combination of Boyle’s law, Avogadro’s law and Charles’s law of gases.
Explanation

The Charles’s law is defined as at constant pressure and number of moles of ideal gas, the volume is directly proportional to the temperature of the gas.

Since, the ideal gas law is as follows:

PV = n R T

Rearranging the equation,

V = n R </

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Sect-13.1 P-13.1SCSect-13.2 P-13.2SCSect-13.3 P-1CTSect-13.3 P-13.3SCSect-13.4 P-13.4SCSect-13.5 P-13.5SCSect-13.5 P-13.6SCSect-13.5 P-13.7SCSect-13.5 P-13.8SCSect-13.6 P-13.9SC
Sect-13.6 P-13.10SCSect-13.8 P-1CTSect-13.10 P-13.11SCSect-13.10 P-1CTSect-13.10 P-13.12SCCh-13 P-1ALQCh-13 P-2ALQCh-13 P-3ALQCh-13 P-4ALQCh-13 P-5ALQCh-13 P-6ALQCh-13 P-7ALQCh-13 P-8ALQCh-13 P-9ALQCh-13 P-10ALQCh-13 P-11ALQCh-13 P-12ALQCh-13 P-13ALQCh-13 P-14ALQCh-13 P-15ALQCh-13 P-16ALQCh-13 P-17ALQCh-13 P-18ALQCh-13 P-19ALQCh-13 P-20ALQCh-13 P-21ALQCh-13 P-22ALQCh-13 P-23ALQCh-13 P-1QAPCh-13 P-2QAPCh-13 P-3QAPCh-13 P-4QAPCh-13 P-5QAPCh-13 P-6QAPCh-13 P-7QAPCh-13 P-8QAPCh-13 P-9QAPCh-13 P-10QAPCh-13 P-11QAPCh-13 P-12QAPCh-13 P-13QAPCh-13 P-14QAPCh-13 P-15QAPCh-13 P-16QAPCh-13 P-17QAPCh-13 P-18QAPCh-13 P-19QAPCh-13 P-20QAPCh-13 P-21QAPCh-13 P-22QAPCh-13 P-23QAPCh-13 P-24QAPCh-13 P-25QAPCh-13 P-26QAPCh-13 P-27QAPCh-13 P-28QAPCh-13 P-29QAPCh-13 P-30QAPCh-13 P-31QAPCh-13 P-32QAPCh-13 P-33QAPCh-13 P-34QAPCh-13 P-35QAPCh-13 P-36QAPCh-13 P-37QAPCh-13 P-38QAPCh-13 P-39QAPCh-13 P-40QAPCh-13 P-41QAPCh-13 P-42QAPCh-13 P-43QAPCh-13 P-44QAPCh-13 P-45QAPCh-13 P-46QAPCh-13 P-47QAPCh-13 P-48QAPCh-13 P-49QAPCh-13 P-50QAPCh-13 P-51QAPCh-13 P-52QAPCh-13 P-53QAPCh-13 P-54QAPCh-13 P-55QAPCh-13 P-56QAPCh-13 P-57QAPCh-13 P-58QAPCh-13 P-59QAPCh-13 P-60QAPCh-13 P-61QAPCh-13 P-62QAPCh-13 P-63QAPCh-13 P-64QAPCh-13 P-65QAPCh-13 P-66QAPCh-13 P-67QAPCh-13 P-68QAPCh-13 P-69QAPCh-13 P-70QAPCh-13 P-71QAPCh-13 P-72QAPCh-13 P-73QAPCh-13 P-74QAPCh-13 P-75QAPCh-13 P-76QAPCh-13 P-77QAPCh-13 P-78QAPCh-13 P-79QAPCh-13 P-80QAPCh-13 P-81QAPCh-13 P-82QAPCh-13 P-83QAPCh-13 P-84QAPCh-13 P-85QAPCh-13 P-86QAPCh-13 P-87QAPCh-13 P-88QAPCh-13 P-89QAPCh-13 P-90QAPCh-13 P-91QAPCh-13 P-92QAPCh-13 P-93QAPCh-13 P-94QAPCh-13 P-95QAPCh-13 P-96QAPCh-13 P-97QAPCh-13 P-98QAPCh-13 P-99QAPCh-13 P-100QAPCh-13 P-101QAPCh-13 P-102QAPCh-13 P-103APCh-13 P-104APCh-13 P-105APCh-13 P-106APCh-13 P-107APCh-13 P-108APCh-13 P-109APCh-13 P-110APCh-13 P-111APCh-13 P-112APCh-13 P-113APCh-13 P-114APCh-13 P-115APCh-13 P-116APCh-13 P-117APCh-13 P-118APCh-13 P-119APCh-13 P-120APCh-13 P-121APCh-13 P-122APCh-13 P-123APCh-13 P-124APCh-13 P-125APCh-13 P-126APCh-13 P-127APCh-13 P-128APCh-13 P-129APCh-13 P-130APCh-13 P-131APCh-13 P-132APCh-13 P-133APCh-13 P-134APCh-13 P-135APCh-13 P-136APCh-13 P-137APCh-13 P-138APCh-13 P-139APCh-13 P-140APCh-13 P-141APCh-13 P-142APCh-13 P-143APCh-13 P-144APCh-13 P-145APCh-13 P-146APCh-13 P-147APCh-13 P-148APCh-13 P-149APCh-13 P-150CPCh-13 P-151CPCh-13 P-152CPCh-13 P-153CPCh-13 P-154CPCh-13 P-155CPCh-13 P-156CPCh-13 P-157CP

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