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Science
ChemistryIntroductory Chemistry: A Foundation9th Edition

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Chapter 13, Problem 11ALQ
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Introductory Chemistry: A Foundati...

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

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Problem 1ALQ
Problem 2ALQ
Problem 3ALQ
Problem 4ALQ
Problem 5ALQ
Problem 6ALQ
Problem 7ALQ
Problem 8ALQ
Problem 9ALQ
Problem 10ALQ
Problem 11ALQ
Problem 12ALQ
Problem 13ALQ
Problem 14ALQ
Problem 15ALQ
Problem 16ALQ
Problem 17ALQ
Problem 18ALQ
Problem 19ALQ
Problem 20ALQ
Problem 21ALQ
Problem 22ALQ
Problem 23ALQ
Problem 1QAP
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Problem 8QAP
Problem 9QAP
Problem 10QAP
Problem 11QAP
Problem 12QAP
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Problem 15QAP
Problem 16QAP
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Problem 18QAP
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Introductory Chemistry: A Foundati...

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

Show how Boyle‘s law and Charles‘s law are special cases of the ideal gas law.

Interpretation Introduction

Interpretation:

How the Boyle’s law and Charle’s law are special cases of the ideal gas law should be explained.

Concept introduction:

An ideal gas can be categorized by three variables state: absolute pressure (P), absolute temperature (T) and volume (V), and the relationship between them are expressed in terms of ideal gas law.

Ideal gas law is a hypothetical law and is mathematically expressed as:

PV = nRT

Where,

P is the pressure of gas

V is the volume of the gas

T is the absolute temperature of the gas

R is the gas constant and

n is the number of moles of the gas molecules

Boyle’s law determines the relation between pressure and volume at a constant temperature for a fixed amount of gas. Boyle’s law is expressed as:

P∝1V

That is pressure is inversely proportional to the volume for a fixed amount of gas at a particular temperature.

Charle’s law determines the relation between volume and the temperature (kelvin) for a fixed amount of gas when the pressure is held constant. The law is expressed as:

V∝T

That is volume is directly proportional to the temperature (kelvin) for a fixed amount of gas when at a particular pressure.

Explanation

Both Boyle’s law and Charle’s law are special case of ideal gas law and can be derived from the ideal gas law as follows:

The ideal gas laws

PV = nRT

Now when T and n is constant, the ideal gas equation become

PV = Constant

P∝1V (Boyle’s law)

Similarly, when P and n is constant, the ideal gas equati

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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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