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Introductory Chemistry: A Foundati...

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

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BuyFindarrow_forward

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:

P1V

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:

VT

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

P1V (Boyle’s law)

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

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Chapter 13 Solutions

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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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