Chapter 10, Problem 12PS

### 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

# A sample of gas occupies 135 mL at 22.5 °C; the pressure is 165 mm Hg. What is the pressure of the gas sample when it is placed in a 252-mL flask at a temperature of 0.0 °C?

Interpretation Introduction

Interpretation:

Given the initial volume, temperature and pressure of a gas and the pressure of the gas at new volume and temperature has to be given.

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

Explanation

From Combined Gas law,

â€‚Â P1V1T1â€‰â€‰=â€‰â€‰P2V2T2

Given data:

P1â€‰â€‰â€‰â€‰=â€‰165â€‰mmâ€‰HgT1â€‰â€‰â€‰â€‰=â€‰â€‰22.5Â°Câ€‰=â€‰295.7â€‰KT2â€‰â€‰â€‰â€‰=â€‰â€‰0Â°Câ€‰â€‰=â€‰273â€‰KV1â€‰â€‰â€‰â€‰=â€‰â€‰135â€‰mlâ€‰V2â€‰â€‰â€‰â€‰â€‰â€‰

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