Chapter 10.3, Problem 10.6CYU

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

The balloon used by Jacques Charles in his historic balloon flight in 1783 (see page 459; was filled with about 1300 mol of H2. If the temperature of the gas was 23 °C and the gas pressure was 750 mm Hg, what was the volume of the balloon?

Interpretation Introduction

Interpretation:

The volume of balloon should be calculated using the given temperature, pressure and number of moles.

Concept Introduction:

Different laws have been put forward to introduce properties of gases:

Boyle’s law:

At fixed temperature, the volume of a fixed amount of gas is inversely proportional to the pressure exerted by the gas.

P1V(n,Twillbeconstant)

Charles’s law: States that volume is directly proportional to temperature when the gas is held

at constant pressure and number of molecules.

VT

General Gas Law: Combining Charles’s law and Boyle’s law we get the General gas law or combined gas law.

P1V1T1=P2V2T2

• To relate the amount of gas and the volume.
• VnatconstantTandP

Combining all these together ideal gas law is introduced:

PV=nRT

Explanation

Ideal gas law: PVâ€‰=â€‰nRT

â€‚Â Râ€‰=â€‰0.0827â€‰L.â€‰atmK.molTâ€‰â€‰â€‰shouldâ€‰beexpressedâ€‰inâ€‰KPâ€‰shouldâ€‰beâ€‰expressedâ€‰inâ€‰atm

Given data:

â€‚Â Pâ€‰=â€‰750â€‰mmâ€‰Hgâ€‰â€‰â€‰â€‰â€‰=â€‰750â€‰mmâ€‰Hgâ€‰Ã—â€‰1â€‰atm760â€‰mmâ€‰Hgâ€‰=â€‰0

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